Method and apparatus for subsampling-based sequence design

Abstract

The present disclosure relates to methods and apparatus for wireless communication. Aspects of the present disclosure may determine a matrix or Hadamard matrix associated with signal transmission, the matrix or Hadamard matrix comprising M rows and M columns. In addition, aspects of the present disclosure may determine a sampling function for generating a sequence set from the matrix or Hadamard matrix. Aspects of the present disclosure may also generate a sequence set by sampling one of a row set or a column set based on the determined sampling function. Aspects of the present disclosure may also transmit a signal derived based on at least one sequence in the sequence set.

Description

[0001] CROSS-REFERENCE TO RELATED APPLICATIONS

[0002] This application claims the benefit of U.S. Provisional Application No. 62 / 952,205, filed on December 20, 2019, entitled “METHODS AND APPARATUS FOR SEQUENCE DESIGN BASED ON SUBSAMPLING,” and U.S. Patent Application No. 17 / 124,433, filed on December 16, 2020, entitled “METHODS AND APPARATUS FOR SEQUENCE DESIGN BASED ON SUBSAMPLING,” both of which are expressly incorporated herein by reference in their entirety. background Technical Field

[0004] The present disclosure relates generally to communication systems, and more particularly to methods and apparatus related to sequence design in wireless communication systems.

[0005] introduction

[0006] Wireless communication systems are widely deployed to provide various telecommunication services such as telephony, video, data, messaging, and broadcast. Typical wireless communication systems may employ multiple access technologies capable of supporting communication with multiple users by sharing available system resources. Examples of such multiple access technologies include code division multiple access (CDMA) systems, time division multiple access (TDMA) systems, frequency division multiple access (FDMA) systems, orthogonal frequency division multiple access (OFDMA) systems, single carrier frequency division multiple access (SC-FDMA) systems, and time division synchronous code division multiple access (TD-SCDMA) systems.

[0007] These multiple access technologies have been adopted in various telecommunication standards to provide common protocols that enable different wireless devices to communicate at city, country, region, and even global levels. An example telecommunication standard is 5G New Radio (NR). 5G NR is a part of the continuous mobile broadband evolution promulgated by the Third Generation Partnership Project (3GPP) to meet new requirements associated with latency, reliability, security, scalability (e.g., with the Internet of Things (IoT)) and other requirements. 5GNR includes services associated with enhanced mobile broadband (eMBB), massive machine type communication (mMTC), and ultra-reliable low latency communication (URLLC). Some aspects of 5G NR can be based on 4G Long Term Evolution (LTE) standards. There is a need for further improvements to 5G NR technology. These improvements can also be applied to other multiple access technologies and telecommunication standards that employ these technologies.

[0008] Overview

[0009] A brief summary of one or more aspects is given below to provide a basic understanding of such aspects. This summary is not an exhaustive overview of all conceived aspects, and is neither intended to identify the key or critical elements of all aspects nor to define the scope of any or all aspects. Its sole purpose is to present some concepts of one or more aspects in a simplified form as a prelude to a more detailed description that will be presented later.

[0010] In one aspect of the present disclosure, methods, computer-readable media, and devices are provided. The device may be a base station or a user equipment (UE). In some aspects, the device may determine a matrix or Hadamard matrix associated with signal transmission, the matrix or Hadamard matrix comprising M rows and M columns. In some aspects, the device may generate the matrix or Hadamard matrix. The device may also determine a sampling function for generating a sequence set from the matrix or Hadamard matrix. Additionally, the device may generate a sequence set by sampling one of a set of rows or a set of columns in the matrix based on the determined sampling function.

[0011] In some aspects, the apparatus may map an uplink control information (UCI) payload to at least one sequence in the sequence set. The apparatus may also modify the at least one sequence to generate at least one modified sequence. In addition, the apparatus may point-by-point multiplex at least one other sequence with each sequence in the at least one sequence to generate at least one modified sequence. The apparatus may also convert the at least one sequence into at least one binary domain sequence. In addition, the apparatus may modulate the at least one binary domain sequence based on π / 2 binary phase shift keying (BPSK) modulation. The apparatus may also transmit a signal derived based on the determined at least one sequence.

[0012] To achieve the foregoing and related ends, the one or more aspects include the features fully described below and particularly pointed out in the claims. The following description and drawings set forth in detail certain illustrative features of the one or more aspects. However, these features are merely indicative of several of the various ways in which the principles of the various aspects may be employed, and this description is intended to cover all such aspects and their equivalents. BRIEF DESCRIPTION OF THE DRAWINGS

[0014] Figure 1 is a diagram illustrating an example of a wireless communication system and an access network.

[0015] Figure 2A , 2B, 2C, and 2D are diagrams illustrating examples of a first 5G / NR frame, a DL channel within a 5G / NR subframe, a second 5G / NR frame, and a UL channel within a 5G / NR subframe, respectively.

[0016] Figure 3 is a diagram illustrating an example of a base station and a user equipment (UE) in an access network.

[0017] Figure 4 is a diagram illustrating an example sequence generation process.

[0018] Figure 5 is a diagram illustrating example communications between a UE and a base station.

[0019] Figure 6 is a flow chart of a wireless communication method.

[0020] Figure 7 is a diagram illustrating an example of a hardware implementation for an example device.

[0021] Figure 8 is a diagram illustrating an example of a hardware implementation for an example device.

[0022] Detailed Description

[0023] The detailed description set forth below in conjunction with the accompanying drawings is intended as a description of various configurations and is not intended to represent the only configurations in which the concepts described herein may be practiced. This detailed description includes specific details to provide a thorough understanding of the various concepts. However, it will be apparent to those skilled in the art that these concepts may be practiced without these specific details. In some instances, well-known structures and components are shown in block diagram form in order to avoid diluting such concepts.

[0024] Several aspects of telecommunication systems will now be presented with reference to various apparatus and methods. These apparatus and methods will be described in the following detailed description and illustrated in the accompanying drawings by various blocks, components, circuits, processes, algorithms, etc. (collectively referred to as "elements"). These elements may be implemented using electronic hardware, computer software, or any combination thereof. Whether such elements are implemented as hardware or software depends on the specific application and the design constraints imposed on the overall system.

[0025] As an example, an element, or any part of an element, or any combination of elements may be implemented as a "processing system" including one or more processors. Examples of processors include: microprocessors, microcontrollers, graphics processing units (GPUs), central processing units (CPUs), application processors, digital signal processors (DSPs), reduced instruction set computing (RISC) processors, systems on chip (SoCs), baseband processors, field programmable gate arrays (FPGAs), programmable logic devices (PLDs), state machines, gating logic, discrete hardware circuits, and other suitable hardware configured to perform various functionalities described throughout this disclosure. One or more processors in a processing system may execute software. Software should be broadly interpreted as meaning instructions, instruction sets, codes, code segments, program codes, programs, subroutines, software components, applications, software applications, software packages, routines, subroutines, objects, executables, threads of execution, procedures, functions, etc., whether it is described in software, firmware, middleware, microcode, hardware description languages, or other terms.

[0026] Accordingly, in one or more example embodiments, the functions described may be implemented in hardware, software, or any combination thereof. If implemented in software, these functions may be stored or encoded on a computer-readable medium as one or more instructions or codes. Computer-readable media include computer storage media. Storage media may be any available medium that can be accessed by a computer. As an example and not limitation, such computer-readable media may include random access memory (RAM), read-only memory (ROM), electrically erasable programmable ROM (EEPROM), optical disk storage, magnetic disk storage, other magnetic storage devices, a combination of computer-readable media of the above types, or any other medium that may be used to store computer-executable code in the form of instructions or data structures that can be accessed by a computer.

[0027] Figure 1 1 is a diagram illustrating an example of a wireless communication system and access network 100. The wireless communication system (also referred to as a wireless wide area network (WWAN)) includes a base station 102, a UE 104, an evolved packet core (EPC) 160, and another core network 190 (e.g., a 5G core (5GC)). The base station 102 may include a macro cell (a high-power cellular base station) and / or a small cell (a low-power cellular base station). A macro cell includes a base station. A small cell includes a femto cell, a pico cell, and a micro cell.

[0028] The base station 102 configured for 4G LTE (collectively referred to as the Evolved Universal Mobile Telecommunications System (UMTS) Terrestrial Radio Access Network (E-UTRAN)) can interface with the EPC 160 via a first backhaul link 132 (e.g., an S1 interface). The base station 102 configured for 5G NR (collectively referred to as the Next Generation RAN (NG-RAN)) can interface with the core network 190 via a second backhaul link 184. Among other functions, the base station 102 can also perform one or more of the following functions: delivery of user data, radio channel encryption and decryption, integrity protection, header compression, mobility control functions (e.g., handover, dual connectivity), inter-cell interference coordination, connection establishment and release, load balancing, distribution of non-access stratum (NAS) messages, NAS node selection, synchronization, radio access network (RAN) sharing, multimedia broadcast multicast service (MBMS), subscriber and equipment tracking, RAN information management (RIM), paging, positioning, and delivery of alert messages. The base stations 102 may communicate with each other directly or indirectly (eg, through the EPC 160 or the core network 190) over a third backhaul link 134 (eg, an X2 interface). The third backhaul link 134 may be wired or wireless.

[0029] Base stations 102 may communicate wirelessly with UEs 104. Each base station 102 may provide communication coverage for a respective geographic coverage area 110. There may be overlapping geographic coverage areas 110. For example, a small cell 102' may have a coverage area 110' that overlaps with the coverage area 110 of one or more macro base stations 102. A network that includes both small cells and macro cells may be referred to as a heterogeneous network. A heterogeneous network may also include a home evolved Node B (eNB) (HeNB), which may provide services to a restricted group referred to as a closed subscriber group (CSG). A communication link 120 between a base station 102 and a UE 104 may include an uplink (UL) (also referred to as a reverse link) transmission from the UE 104 to the base station 102 and / or a downlink (DL) (also referred to as a forward link) transmission from the base station 102 to the UE 104. The communication link 120 may use multiple-input multiple-output (MIMO) antenna technology, including spatial multiplexing, beamforming, and / or transmit diversity. These communication links may be over one or more carriers. For each carrier allocated in a carrier aggregation of up to Yx MHz (x component carriers) for transmission in each direction, the base station 102 / UE 104 may use a spectrum of up to Y MHz (e.g., 5, 10, 15, 20, 100, 400 MHz, etc.) bandwidth. These carriers may or may not be adjacent to each other. The allocation of carriers may be asymmetric with respect to DL and UL (e.g., more or fewer carriers may be allocated to DL compared to UL). The component carrier may include a primary component carrier and one or more secondary component carriers. The primary component carrier may be referred to as a primary cell (PCell), and the secondary component carrier may be referred to as a secondary cell (SCell).

[0030] Some UEs 104 may communicate with each other using a device-to-device (D2D) communication link 158. The D2D communication link 158 may use DL / UL WWAN spectrum. The D2D communication link 158 may use one or more sidelink channels, such as a physical sidelink broadcast channel (PSBCH), a physical sidelink discovery channel (PSDCH), a physical sidelink shared channel (PSSCH), and a physical sidelink control channel (PSCCH). The D2D communication may be through a variety of wireless D2D communication systems, such as, for example, FlashLinQ, WiMedia, Bluetooth, ZigBee, Wi-Fi based on the IEEE 802.11 standard, LTE, or NR.

[0031] The wireless communication system may further include a Wi-Fi access point (AP) 150 communicating with a Wi-Fi station (STA) 152 in the 5 GHz unlicensed spectrum via a communication link 154. When communicating in the unlicensed spectrum, the STA 152 / AP 150 may perform a clear channel assessment (CCA) to determine whether the channel is available prior to communication.

[0032] The small cell 102' may operate in a licensed and / or unlicensed spectrum. When operating in an unlicensed spectrum, the small cell 102' may employ NR and use the same 5 GHz unlicensed spectrum as used by the Wi-Fi AP 150. The small cell 102' employing NR in the unlicensed spectrum may boost the coverage of the access network and / or increase the capacity of the access network.

[0033] Whether a small cell 102' or a large cell (e.g., a macro base station), the base station 102 may include and / or be referred to as an eNB, a gB node (gNB), or another type of base station. Some base stations (such as gNB 180) may operate in traditional sub-6 GHz spectrum, millimeter wave (mmW) frequencies, and / or near mmW frequencies to communicate with UE 104. When gNB 180 operates in mmW or near mmW frequencies, gNB 180 may be referred to as a mmW base station. Extremely high frequency (EHF) is part of the RF in the electromagnetic spectrum. EHF has a range of 30 GHz to 300 GHz and a wavelength between 1 mm and 10 mm. The radio waves in this band may be referred to as millimeter waves. Near mmW can be extended down to 3 GHz frequencies with a wavelength of 100 mm. The super high frequency (SHF) band extends between 3 GHz and 30 GHz, which is also referred to as centimeter waves. Communications using mmW / near mmW radio frequency bands (e.g., 3 GHz–300 GHz) have extremely high path loss and short range. The mmW base station 180 may utilize beamforming 182 with the UE 104 to compensate for the extremely high path loss and short range. The base station 180 and the UE 104 may each include multiple antennas, such as antenna elements, antenna panels, and / or antenna arrays to facilitate beamforming.

[0034] The base station 180 may transmit beamformed signals to the UE 104 in one or more transmit directions 182'. The UE 104 may receive beamformed signals from the base station 180 in one or more receive directions 182". The UE 104 may also transmit beamformed signals to the base station 180 in one or more transmit directions. The base station 180 may receive beamformed signals from the UE 104 in one or more receive directions. The base station 180 / UE 104 may perform beam training to determine the best receive direction and transmit direction for each of the base station 180 / UE 104. The transmit direction and receive direction of the base station 180 may be the same or may be different. The transmit direction and receive direction of the UE 104 may be the same or may be different.

[0035] The EPC 160 may include a mobility management entity (MME) 162, other MMEs 164, a serving gateway 166, a multimedia broadcast multicast service (MBMS) gateway 168, a broadcast multicast service center (BM-SC) 170, and a packet data network (PDN) gateway 172. The MME 162 may be in communication with a home subscriber server (HSS) 174. The MME 162 is a control node that handles signaling between the UE 104 and the EPC 160. In general, the MME 162 provides bearer and connection management. All user Internet Protocol (IP) packets are delivered through the serving gateway 166, which itself is connected to the PDN gateway 172. The PDN gateway 172 provides UE IP address allocation and other functions. The PDN gateway 172 and the BM-SC 170 are connected to IP services 176. The IP services 176 may include the Internet, an intranet, an IP multimedia subsystem (IMS), a PS streaming service, and / or other IP services. The BM-SC 170 may provide functionality for MBMS user service provisioning and delivery. The BM-SC 170 may serve as an entry point for content provider MBMS transmissions, may be used to authorize and initiate MBMS bearer services within a public land mobile network (PLMN), and may be used to schedule MBMS transmissions. The MBMS gateway 168 may be used to distribute MBMS traffic to base stations 102 belonging to a multicast broadcast single frequency network (MBSFN) area that broadcasts a specific service, and may be responsible for session management (start / stop) and for collecting eMBMS-related charging information.

[0036] The core network 190 may include an access and mobility management function (AMF) 192, other AMFs 193, a session management function (SMF) 194, and a user plane function (UPF) 195. AMF 192 may be in communication with a unified data management (UDM) 196. AMF 192 is a control node that handles signaling between UE 104 and the core network 190. In general, AMF 192 provides QoS flow and session management. All user Internet Protocol (IP) packets are delivered through UPF 195. UPF 195 provides UE IP address allocation and other functions. UPF 195 is connected to IP services 197. IP services 197 may include the Internet, an intranet, an IP multimedia subsystem (IMS), a PS streaming service, and / or other IP services.

[0037] A base station may include and / or be referred to as a gNB, a Node B, an eNB, an access point, a base transceiver station, a radio base station, a radio transceiver, a transceiver function, a basic service set (BSS), an extended service set (ESS), a transmission reception point (TRP), or some other suitable term. Base station 102 provides an access point to EPC 160 or core network 190 for UE 104. Examples of UE 104 include a cellular phone, a smart phone, a Session Initiation Protocol (SIP) phone, a laptop, a personal digital assistant (PDA), a satellite radio, a global positioning system, a multimedia device, a video device, a digital audio player (e.g., an MP3 player), a camera, a game console, a tablet device, a smart device, a wearable device, a vehicle, an electric meter, a gas pump, a large or small kitchen appliance, a health care device, an implant, a sensor / actuator, a display, or any other similar functional device. Some UEs 104 may be referred to as IoT devices (e.g., parking meters, gas pumps, ovens, vehicles, heart monitors, etc.). UE 104 may also be referred to as a station, a mobile station, a subscriber station, a mobile unit, a subscriber unit, a wireless unit, a remote unit, a mobile device, a wireless device, a wireless communication device, a remote device, a mobile subscriber station, an access terminal, a mobile terminal, a wireless terminal, a remote terminal, a handset, a user agent, a mobile client, a client, or some other suitable terminology.

[0038] Refer again Figure 1In some aspects, the UE 104 or the base station 102 may include a determination component 198 configured to determine a matrix or Hadamard matrix associated with signal transmission, the Hadamard matrix including M rows and M columns. The determination component 198 may also be configured to generate the matrix or Hadamard matrix. The determination component 198 may also be configured to determine a sampling function for generating a sequence set from the matrix or Hadamard matrix. The determination component 198 may also be configured to generate a sequence set by sampling one of a row set or a column set in the matrix based on the determined sampling function. The determination component 198 may also be configured to map the UCI payload to at least one sequence in the sequence set. The determination component 198 may also be configured to modify the at least one sequence to generate at least one modified sequence. The determination component 198 may also be configured to multiplex at least one other sequence with each sequence in the at least one sequence point by point to generate at least one modified sequence. The determination component 198 may also be configured to convert the at least one sequence into at least one binary domain sequence. The determining component 198 may also be configured to modulate the at least one binary domain sequence based on π / 2 binary phase shift keying (BPSK) modulation.The determining component 198 may also be configured to transmit a signal derived based on at least one sequence in the set of sequences.

[0039] Although the following description may focus on 5G NR, the concepts described herein may be applicable to other similar areas such as LTE, LTE-A, CDMA, GSM, and other wireless technologies.

[0040] Figure 2A 200 is a diagram illustrating an example of a first subframe within a 5G / NR frame structure. Figure 2B FIG230 is a diagram illustrating an example of DL channels within a 5G / NR subframe. Figure 2C FIG250 is a diagram illustrating an example of a second subframe within a 5G / NR frame structure. Figure 2D 280 is a diagram illustrating an example of an UL channel within a 5G / NR subframe. The 5G / NR frame structure may be FDD, where for a particular set of subcarriers (carrier system bandwidth), subframes within that subcarrier set are dedicated to either DL or UL, or TDD, where for a particular set of subcarriers (carrier system bandwidth), subframes within that subcarrier set are dedicated to both DL and UL. Figure 2A , 2CIn the example provided, the 5G / NR frame structure is assumed to be TDD, where subframe 4 is configured with slot format 28 (mostly DL) and subframe 3 is configured with slot format 34 (mostly UL), where D is DL, U is UL, and X is for flexible use between DL / UL. Although subframes 3 and 4 are shown as having slot formats 34 and 28, respectively, any particular subframe may be configured with any of the various available slot formats 0-61. Slot formats 0 and 1 are full DL and full UL, respectively. Other slot formats 2-61 include a mixture of DL, UL, and flexible symbols. The UE is configured with a slot format (dynamically configured by DL control information (DCI) or semi-statically / statically configured by radio resource control (RRC) signaling) through the received slot format indicator (SFI). Note that the following description also applies to the 5G / NR frame structure for TDD.

[0041] Other wireless communication technologies may have different frame structures and / or different channels. A frame (10ms) may be divided into 10 equally sized subframes (1ms). Each subframe may include one or more time slots. A subframe may also include mini-slots, which may include 7, 4, or 2 symbols. Each time slot may include 7 or 14 symbols, depending on the time slot configuration. For time slot configuration 0, each time slot may include 14 symbols, and for time slot configuration 1, each time slot may include 7 symbols. The symbols on the DL may be cyclic prefix (CP) OFDM (CP-OFDM) symbols. The symbols on the UL may be CP-OFDM symbols (for high throughput scenarios) or discrete Fourier transform (DFT) spread OFDM (DFT-s-OFDM) symbols (also known as single carrier frequency division multiple access (SC-FDMA) symbols) (for power-limited scenarios; limited to single stream transmission). The number of time slots within a subframe is based on the time slot configuration and parameter design. For slot configuration 0, different parameter designs μ of 0 to 5 allow 1, 2, 4, 8, 16, and 32 slots per subframe, respectively. For slot configuration 1, different parameter designs 0 to 2 allow 2, 4, and 8 slots per subframe, respectively. Accordingly, for slot configuration 0 and parameter design μ, there are 14 symbols per slot and 2 per subframe. μ time slots. The subcarrier spacing and symbol length / duration vary depending on parameter design. The subcarrier spacing can be equal to 2 μ *15kHz, where μ is parameter design 0 to 5. Thus, parameter design μ=0 has a subcarrier spacing of 15kHz, while parameter design μ=5 has a subcarrier spacing of 480kHz. The symbol length / duration is inversely related to the subcarrier spacing. Figures 2A-2D An example of slot configuration 0 with 14 symbols per slot and parameter design μ=0 with 1 slot per subframe is provided. The subcarrier spacing is 15 kHz and the symbol duration is about 66.7 μs.

[0042] A resource grid may be used to represent the frame structure. Each slot includes a resource block (RB) (also called a physical RB (PRB)) extending over 12 consecutive subcarriers. The resource grid is divided into a number of resource elements (REs). The number of bits carried by each RE depends on the modulation scheme.

[0043] like Figure 2A As explained in the illustration, some REs carry reference (pilot) signals (RS) for UEs. RSs may include demodulation RSs (DM-RSs) for channel estimation at the UE (indicated as R for a particular configuration). x , where 100x is the port number, but other DM-RS configurations are possible) and a channel state information reference signal (CSI-RS). RS may also include a beam measurement RS (BRS), a beam refinement RS (BRRS), and a phase tracking RS (PT-RS).

[0044] Figure 2B An example of various DL channels within a subframe of an explanation frame. The physical downlink control channel (PDCCH) carries DCI within one or more control channel elements (CCEs), each CCE includes 9 RE groups (REGs), and each REG includes 4 consecutive REs in an OFDM symbol. The primary synchronization signal (PSS) may be within symbol 2 of a particular subframe of a frame. The PSS is used by the UE 104 to determine the subframe / symbol timing and the physical layer identity. The secondary synchronization signal (SSS) may be within symbol 4 of a particular subframe of a frame. The SSS is used by the UE to determine the physical layer cell identity group number and the radio frame timing. Based on the physical layer identity and the physical layer cell identity group number, the UE may determine the physical cell identifier (PCI). Based on the PCI, the UE may determine the location of the aforementioned DM-RS. The physical broadcast channel (PBCH) carrying the master information block (MIB) may be logically grouped with the PSS and SSS to form a synchronization signal (SS) / PBCH block. The MIB provides the number of RBs in the system bandwidth, as well as the system frame number (SFN). The Physical Downlink Shared Channel (PDSCH) carries user data, broadcast system information not transmitted through the PBCH (such as System Information Blocks (SIBs)), and paging messages.

[0045] As in Figure 2CAs explained in , some REs carry DM-RSs for channel estimation at the base station (indicated as R for one specific configuration, but other DM-RS configurations are possible). The UE may transmit DM-RSs for the physical uplink control channel (PUCCH) and DM-RSs for the physical uplink shared channel (PUSCH). The PUSCH DM-RS may be transmitted in the first or first two symbols of the PUSCH. The PUCCH DM-RS may be transmitted in different configurations depending on whether a short PUCCH or a long PUCCH is transmitted and on the specific PUCCH format used. The UE may transmit a sounding reference signal (SRS). The SRS may be transmitted in the last symbol of the subframe. The SRS may have a comb structure, and the UE may transmit the SRS on one of the comb teeth. The SRS may be used by the base station for channel quality estimation to enable frequency-dependent scheduling on the UL.

[0046] Figure 2D An example of various UL channels within a subframe of an illustration frame. The PUCCH may be located at a position as indicated in one configuration. The PUCCH carries uplink control information (UCI), such as scheduling requests, channel quality indicator (CQI), precoding matrix indicator (PMI), rank indicator (RI), and hybrid automatic repeat request (HARQ) ACK / NACK feedback. The PUSCH carries data and may additionally be used to carry a buffer status report (BSR), a power headroom report (PHR), and / or UCI.

[0047] Figure 33 is a block diagram of a base station 310 in communication with a UE 350 in an access network. In the DL, IP packets from the EPC 160 may be provided to a controller / processor 375. The controller / processor 375 implements layer 3 and layer 2 functionality. Layer 3 includes a radio resource control (RRC) layer, and layer 2 includes a service data adaptation protocol (SDAP) layer, a packet data convergence protocol (PDCP) layer, a radio link control (RLC) layer, and a media access control (MAC) layer. The controller / processor 375 provides RRC layer functionality associated with broadcasting of system information (e.g., MIB, SIB), RRC connection control (e.g., RRC connection paging, RRC connection establishment, RRC connection modification, and RRC connection release), inter-radio access technology (RAT) mobility, and measurement configuration of UE measurement reports; PDCP layer functionality associated with header compression / decompression, security (ciphering, cipher decryption, integrity protection, integrity verification), and handover support functions; RLC layer functionality associated with delivery of upper layer packet data units (PDUs), error correction through ARQ, concatenation, segmentation and reassembly of RLC service data units (SDUs), re-segmentation of RLC data PDUs, and reordering of RLC data PDUs; and MAC layer functionality associated with mapping between logical channels and transport channels, multiplexing of MAC SDUs onto transport blocks (TBs), demultiplexing of MAC SDUs from TBs, scheduling information reporting, error correction through HARQ, priority handling, and logical channel prioritization.

[0048] The transmit (TX) processor 316 and the receive (RX) processor 370 implement layer 1 functionality associated with various signal processing functions. Layer 1, including the physical (PHY) layer, may include error detection on the transport channel, forward error correction (FEC) encoding / decoding of the transport channel, interleaving, rate matching, mapping to the physical channel, modulation / demodulation of the physical channel, and MIMO antenna processing. The TX processor 316 handles the mapping to the signal constellation based on various modulation schemes (e.g., binary phase shift keying (BPSK), quadrature phase shift keying (QPSK), M-phase shift keying (M-PSK), M-quadrature amplitude modulation (M-QAM)). The coded and modulated symbols may then be split into parallel streams. Each stream may then be mapped to an OFDM subcarrier, multiplexed with a reference signal (e.g., pilot) in the time domain and / or frequency domain, and then combined together using an inverse fast Fourier transform (IFFT) to produce a physical channel carrying a time domain OFDM symbol stream. The OFDM stream is spatially precoded to generate multiple spatial streams. Channel estimates from a channel estimator 374 may be used to determine coding and modulation schemes and for spatial processing. The channel estimates may be derived from reference signals and / or channel condition feedback transmitted by the UE 350. Each spatial stream may then be provided to a different antenna 320 via a separate transmitter 318TX. Each transmitter 318TX may modulate an RF carrier with a corresponding spatial stream for transmission.

[0049] At the UE 350, each receiver 354RX receives a signal through its corresponding antenna 352. Each receiver 354RX recovers the information modulated onto the RF carrier and provides the information to a receive (RX) processor 356. The TX processor 368 and the RX processor 356 implement layer 1 functionality associated with various signal processing functions. The RX processor 356 can perform spatial processing on the information to recover any spatial stream destined for the UE 350. If there are multiple spatial streams destined for the UE 350, they can be combined into a single OFDM symbol stream by the RX processor 356. The RX processor 356 then transforms the OFDM symbol stream from the time domain to the frequency domain using a fast Fourier transform (FFT). The frequency domain signal includes a separate OFDM symbol stream for each subcarrier of the OFDM signal. The symbols on each subcarrier, as well as the reference signal, are recovered and demodulated by determining the signal constellation point most likely transmitted by the base station 310. These soft decisions can be based on the channel estimates calculated by the channel estimator 358. These soft decisions are then decoded and deinterleaved to recover the data and control signals originally transmitted on the physical channel by the base station 310. These data and control signals are then provided to the controller / processor 359 which implements layer 3 and layer 2 functionality.

[0050] The controller / processor 359 may be associated with a memory 360 that stores program codes and data. The memory 360 may be referred to as a computer readable medium. In the UL, the controller / processor 359 provides demultiplexing between transport channels and logical channels, packet reassembly, cipher interpretation, header decompression, and control signal processing to recover IP packets from the EPC 160. The controller / processor 359 is also responsible for error detection using ACK and / or NACK protocols to support HARQ operations.

[0051] Similar to the functionality described in conjunction with DL transmissions performed by the base station 310, the controller / processor 359 provides RRC layer functionality associated with system information (e.g., MIB, SIB) acquisition, RRC connection, and measurement reporting; PDCP layer functionality associated with header compression / decompression, and security (encryption, decryption, integrity protection, integrity verification); RLC layer functionality associated with delivery of upper layer PDUs, error correction through ARQ, concatenation, segmentation, and reassembly of RLC SDUs, resegmentation of RLC data PDUs, and reordering of RLC data PDUs; and MAC layer functionality associated with mapping between logical channels and transport channels, multiplexing MAC SDUs onto TBs, demultiplexing MAC SDUs from TBs, scheduling information reporting, error correction through HARQ, priority handling, and logical channel prioritization.

[0052] Channel estimates derived by a channel estimator 358 from a reference signal or feedback transmitted by the base station 310 may be used by a TX processor 368 to select the appropriate coding and modulation schemes, and to facilitate spatial processing. The spatial streams generated by the TX processor 368 may be provided to different antennas 352 via separate transmitters 354TX. Each transmitter 354TX may modulate an RF carrier with a corresponding spatial stream for transmission.

[0053] UL transmissions are processed at the base station 310 in a manner similar to that described in conjunction with the receiver functionality at the UE 350. Each receiver 318RX receives a signal through its respective antenna 320. Each receiver 318RX recovers information modulated onto an RF carrier and provides the information to a RX processor 370.

[0054] The controller / processor 375 may be associated with a memory 376 that stores program codes and data. The memory 376 may be referred to as a computer readable medium. In the UL, the controller / processor 375 provides demultiplexing between transport channels and logical channels, packet reassembly, cipher decoding, header decompression, control signal processing to recover IP packets from the UE 350. The IP packets from the controller / processor 375 may be provided to the EPC 160. The controller / processor 375 is also responsible for error detection using ACK and / or NACK protocols to support HARQ operations.

[0055] At least one of the TX processor 368, the RX processor 356, and the controller / processor 359 may be configured to perform operations related to Figure 1 The determination component 198 combines various aspects.

[0056] At least one of the TX processor 316, the RX processor 370, and the controller / processor 375 may be configured to perform operations related to Figure 1 The determination component 198 combines various aspects.

[0057] Sequences have many important applications in wireless communications. For example, sequences can be designed for several different types of wireless communications. For example, sequences can be designed as preambles for random access procedures. Sequences can also be designed for reference signals (RS), secondary synchronization signals (SSS), primary synchronization signals (PSS), demodulation reference signals (DMRS), channel state information reference signals (CSI-RS), sounding RS (SRS), and / or positioning RS (PRS).

[0058] Additionally, the sequence may include several different performance metrics. For example, the performance metric of the sequence may include capacity, cross-correlation, autocorrelation, or peak-to-average power ratio (PAPR). In some aspects, the capacity may be the number of sequences supported in a sequence pool or resource set, i.e., the number of sequences used for a given resource set.

[0059] In some instances, the current capacity of a sequence utilized in wireless communications may not be sufficient to support all communication needs for the sequence. Accordingly, the number of sequences used for a given set of resources may need to be increased. Since various versions of wireless communications may include increased capacity for sequences, it may be beneficial to improve the capacity of sequences for different types of wireless communications.

[0060] Sequence design can be based on various different sequences, such as Zadoff-Chu sequences and Gold sequences, both of which may have limited capacity. Some sequence designs may utilize subsampled DFT sequences, which may have suitable capacity. However, the PAPR may not be optimal for these types of sequences. Thus, improving the capacity of the sequence and optimizing the PAPR for the sequence may be beneficial.

[0061] A Hadamard matrix is ​​a square matrix consisting of entries that are either +1 or -1, and whose rows are mutually orthogonal. m The Hadamard matrix of (where m is an integer) is a matrix generated by taking a 2x2 matrix and applying a tensor power to it. For example, m The Hadamard matrix can be in represents the tensor product. Correspondingly, the Hadamard matrix of order 4 can be In addition, the Hadamard sequence may correspond to a particular row or column of the Hadamard matrix. It may be beneficial to accurately and efficiently sample the Hadamard matrix in order to generate the sequence. The length of the generated Hadamard sequence can be 2 m . And can be obtained from the Hadamard matrix The cardinality of the generated sequence set (i.e., the capacity of the sequence set) can also be 2 m . In other words, the cardinality of the set of Hadamard sequences can be equal to the length of each sequence in the set of Hadamard sequences. However, in many applications, it can be useful to generate a set of sequences whose length is much smaller than the cardinality (capacity). At the same time, the cross-correlation between each pair of sequences in the set can be very low. This is why it can be beneficial to subsample the set of Hadamard sequences to obtain a set of sequences with a much smaller length and the same capacity. Additionally, it can be beneficial to generate sequences using deterministic sampling of the Hadamard matrix.

[0062] Aspects of the present disclosure can more accurately and effectively sample Hadamard matrices to generate sequences. Further, aspects of the present disclosure can utilize sequence designs based on sub-sampled Hadamard matrices or sequences. In some aspects, sequences can be generated by sampling the rows or columns of the Hadamard matrix. For example, the Hadamard matrix can be randomly sampled to generate a sequence. By sampling the Hadamard matrix, a sequence with one or more desired attributes can be generated. In some aspects, it may be unclear how to most effectively sample the Hadamard matrix to generate a sequence.

[0063] Aspects of the present disclosure may also use deterministic sampling of Hadamard matrices (e.g., using rows and columns of Hadamard matrices) to generate sequences. Accordingly, aspects of the present disclosure may determine a manner to sample the Hadamard matrix to generate a sequence. As indicated above, in one aspect, aspects of the present disclosure may utilize rows and columns of the Hadamard matrix to select a sequence. In some instances, a wireless device may receive a sampling function and then generate a sequence based on the sampling function. In this way, aspects of the present disclosure may utilize a sequence design based on a subsampled Hadamard sequence.

[0064] Aspects of the present disclosure can generate several sequences, for example, M sequences, where M corresponds to a specific column in a Hadamard matrix. In addition, aspects of the present disclosure can select a number of rows in a column to generate a determined sequence. In some aspects, for different sequences, aspects of the present disclosure can select the same rows of different columns to generate these sequences. For example, aspects of the present disclosure can sample the same rows from each column in these columns. In some instances, the deterministic sampling of the Hadamard matrix can determine which rows in the identified columns will be selected for sequence generation.

[0065] In some examples, the sequence length may be represented by N and the sequence pool size (ie, the number of sequences) may be represented by M. For example, If M≠2 k , then aspects of the present disclosure may determine the smallest power of 2 that is greater than M and N.

[0066] In one aspect, aspects of the present disclosure may include an M×M Hadamard matrix corresponding to the following: For example, n corresponds to the row index and m corresponds to the column index. Further, the M sequences x l =[x l (0),x l (1),…,x l (N-1)], 0≤l≤M-1 can be selected as x l (n) = a f(n),l , where 0≤n≤N-1. For example, f(·): may denote the sampling function. In addition, l may denote the specific column used to generate the sequence, and n is the nth element of the sequence. In addition, a f(n),l The row f(n) and column l may be indicated. For each element of the sequence, aspects of the present disclosure may select a particular row f(n) of the selected column l.

[0067] As indicated herein, in order to generate M sequences, aspects of the present disclosure may select a subset of row values ​​in the selected column. Table 1 below illustrates a manner in which a subset f(n) of row values ​​is selected in the selected column l. As further shown in Table 1 below, for each identified sequence, a specific column may be selected.

[0068]

[0069] Table 1

[0070] Aspects of the present disclosure may include several example sampling functions. In some aspects, the sampling function f may ensure that {f(n)} 0≤n≤N A substantially equal number of even and odd rows may be included. For example, the sampling function may select a substantially equal number of odd and even rows to generate the sequence. In some aspects, the substantially equal number may be no greater than a fixed number, e.g., three. Thus, the difference or gap between the odd and even rows may be less than or equal to a fixed number, e.g., three.

[0071] Some aspects of the present disclosure may utilize a subsampling function. For example,

[0072] Where 0≤n≤N-1. In the sampling function, a and b can be any positive odd numbers, for example, 1, 3, 5, etc. In addition, c can be any non-negative integer, for example, 0, 1, 2, etc. Further, mod can be a modulo operation. In addition, mod or modulo operation can ensure that the selected row index falls within a specific range (for example, the range {0, 1, ..., M-1}).

[0073] Aspects of the present disclosure may also utilize a cubic sampling function. For example,

[0074] In the sampling function, a can be a positive odd number (eg, 1, 3, 5, etc.), and b can be a non-negative integer.

[0075] Some aspects of the present disclosure may utilize a Fibonacci type or recursive sampling function. For example, f(n)=f(n-1)+f(n-2)mod M, where 2≤m≤N-1, where f(0) and f(1) may be selected as a pair of integers including an even number and an odd number. For example, f(0)=1 and f(1)=2. Alternatively, various aspects of the present disclosure may use f(0) and f(1) to initialize the function when both f(0) and f(1) are odd numbers. Similarly, the initialization of f(0) and f(1) may be determined (1) using a configuration from a base station or (2) based on a random seed. In the above options (1) and (2), the determined values ​​f(0) and f(1) may be subject to the following constraints: both values ​​are odd numbers, or one is an even number and the other is an odd number. In some aspects, in order to determine the nth row of a matrix, various aspects of the present disclosure may determine the sum of the n-1th row and the n-2th row, including modulo operations of mod M and M.

[0076] Aspects of the present disclosure may also specify the properties of the generated sequence. In some aspects, the identified sequence may have an expected mutual correlation property, which may be useful for detection. In addition, aspects of the present disclosure may include sequences that are easy to generate and describe. For example, it may not be necessary to store a table that includes a large amount of storage to generate the sequence.

[0077] In addition, aspects of the present disclosure may include easy-to-implement sequence detection or detection algorithms for sequences. For example, aspects of the present disclosure may utilize fast Hadamard transforms, for example, to accelerate the calculation of sequences. In some aspects, the fast Hadamard transform may be utilized to replace matrix-vector multiplication.

[0078] Aspects of the present disclosure may also reduce the PAPR of a sequence. In one example, a subsampled Hadamard sequence may include values ​​in the set {-1, +1}, i.e., this may be a BPSK modulated sequence. Aspects of the present disclosure may convert a sequence into a π / 2 BPSK modulated sequence by the following steps. First, aspects of the present disclosure may convert a sequence into a binary domain, for example, a -1 value is mapped to 0, and a 1 value is mapped to 1. Similarly, a -1 value may be mapped to 1, and a 1 value may be mapped to 0. Subsequently, aspects of the present disclosure may perform π / 2 BPSK modulation on the generated binary sequence.

[0079] Alternatively, aspects of the present disclosure may multiply the sequence with the original Hadamard sequence point by point. For example, the point-by-point multiplexed sequence may be one of the following: [1, j, 1, j, 1, j, 1, j, ...], or [1, j, -1, -j, 1, j, -1, -j, ...], or For example, each sequence may have a phase shift of 90 degrees (ie, π / 2) between adjacent symbols.

[0080] In some aspects, the π / 2 BPSK modulated sequence can have a lower PAPR than the original Hadamard sequence, for example, when used with transform precoding. For example, the π / 2 BPSK modulated sequence can ensure that there are no large phase jumps between adjacent symbols. This can result in a lower PAPR, which is desirable in certain types of wireless communication applications.

[0081] In some instances, the aforementioned functions may be standardized so that the UE can understand which functions to utilize. In addition, the base station may configure the function to be utilized and communicate the function to the UE. In some aspects, parameters in the sampling function may be configured, for example, parameters a, b, c in the secondary sampling function, parameters a, b in the cubic sampling function, or f(0) and f(1) in the recursive sampling function. In addition, a family of functions may be standardized. In addition, some aspects of the present disclosure may utilize sequences (e.g., non-coherent sequences) based on PUCCH to deliver small UCI payloads. The sequences designed by various aspects of the present disclosure may be suitable for such use cases. In addition, the proposed mechanism for mapping UCI payloads to sequences may be applied to Hadamard-based sequences.

[0082] Figure 4 4 is a diagram illustrating an example sequence generation process. Diagram 400 includes a subsampled Hadamard sequence determination process 410, a π / 2 BPSK modulation process 420, a transform precoding process 430, and a resource element (RE) mapping and OFDM process 440. Figure 4 As shown, for a UCI payload of size k (e.g., k bits), aspects of the present disclosure may determine a corresponding subsampled Hadamard sequence for the k bits. Each candidate of the k bits may correspond to a particular column of the Hadamard matrix. For example, if k is 5, there may be 2 5 Or that is, 32 sequences, and aspects of the present disclosure may select one of these 32 sequences to represent the k bits.

[0083] After a sequence is selected, aspects of the present disclosure may utilize a π / 2 BPSK modulation process 420 in order to reduce the PAPR of the sequence. Next, aspects of the present disclosure may utilize a transform precoding process 430. Finally, aspects of the present disclosure may utilize a RE mapping and OFDM process 440.

[0084] Figure 55 is a diagram illustrating communication between a UE 502 and a base station 504. At 510, the UE 502 may determine or generate a matrix or Hadamard matrix associated with signal transmission, wherein the Hadamard matrix may include M rows and M columns. At 512, the base station 504 may also determine or generate a matrix or Hadamard matrix associated with signal transmission, wherein the Hadamard matrix may include M rows and M columns. As such, M may be the order of the Hadamard matrix.

[0085] At 520, the UE 502 may determine a sampling function for generating a set of sequences from the Hadamard matrix. At 522, the base station 504 may also determine a sampling function for generating a set of sequences from the Hadamard matrix.

[0086] At 530, the UE 502 may generate a sequence set by sampling one of the row set or column set in the matrix based on the determined sampling function. At 532, the base station 504 may also generate a sequence set by sampling one of the row set or column set based on the determined sampling function. In some aspects, the generated sequence set may include M sequences. In addition, the row set may include each row in the M rows, and the column set may include each column in the M columns.

[0087] At 540, the UE 502 may map the UCI payload to at least one sequence in the set of sequences. In some aspects, the at least one sequence may be identified from the set of sequences.

[0088] At 550, the UE 502 may modify the at least one sequence to generate at least one modified sequence. At 552, the base station 504 may also modify the at least one sequence to generate at least one modified sequence.

[0089] At 560, the UE 502 may point-multiplex at least one other sequence with each of the at least one sequence to generate at least one modified sequence or a point-multiplexed sequence. At 562, the base station 504 may point-multiplex at least one other sequence with each of the at least one sequence to generate at least one modified sequence. In some aspects, the point-multiplexed sequence may include a π / 2 phase shift between each pair of adjacent elements of the sequence.

[0090] At 570, the UE 502 may convert the at least one sequence into at least one binary domain sequence. At 572, the base station 504 may also convert the at least one sequence into at least one binary domain sequence.

[0091] At 580, the UE 502 may modulate the at least one binary domain sequence based on π / 2 BPSK modulation. At 582, the base station 504 may also modulate the at least one binary domain sequence based on π / 2 BPSK modulation.

[0092] At 590, the UE 502 may transmit or receive a signal 594 derived based on at least one sequence in the set of sequences. At 592, the base station 504 may transmit or receive a signal 594 derived based on the determined at least one sequence. At 596, the base station 504 may map the at least one sequence to UCI bits.

[0093] In some aspects, the signal may be derived based on the at least one modified sequence. The signal may also be derived based on at least one modulated binary domain sequence. In addition, the signal may be derived based on the at least one modified sequence or a point-by-point multiplexed sequence.

[0094] In some examples, the signal may include one of the following: a reference signal (RS), a secondary synchronization signal (SSS), a primary synchronization signal (PSS), a demodulation reference signal (DMRS), a channel state information (CSI) RS (CSI-RS), or a positioning RS (PRS). In addition, the signal may include one of the following: a preamble for a random access channel (RACH) procedure, RS, DMRS, a sounding RS (SRS), a positioning RS (PRS), or uplink control information (UCI).

[0095] In some aspects, the sampling function may be one of a quadratic sampling function, a cubic sampling function, or a recursive function. The sampling function may be equal to The sampling function can also be equal to A cubic sampling function of , where M is the order of the Hadamard matrix, a is a positive odd number, and b is a non-negative integer. Additionally, the sampling function can be a recursive function equal to f(n)=f(n-1)+f(n-2)mod M, where M is the order of the Hadamard matrix.

[0096] In some examples, the set of sequences may be generated by sampling a set of M columns based on the determined sampling function. In addition, each sequence in the set of sequences may be generated by sampling one column in the set of columns, and the sequence may include values ​​from m odd-numbered rows and n even-numbered rows. For example, |nm|≤3.

[0097] In some aspects, the set of sequences may be generated by sampling a set of M rows based on the determined sampling function. In addition, each sequence in the set of sequences may be generated by sampling a row in the set of rows, and the sequence may include values ​​from m odd-numbered columns and n even-numbered columns. For example, |nm|≤3.

[0098] like Figure 5 As shown, there are several steps or processes on the UE side and the base station side. Figure 5 Each of the steps or processes shown in 550 may be optional. Further, some of these steps or processes may be alternative solutions to other steps or processes. For example, in some aspects, one of steps 550, 560, or 570+580 may be utilized at a given time.

[0099] Figure 6 600 is a flow chart of a wireless communication method. The method may be performed by a UE or a component of a UE (e.g., UE 104, 350, 502; device 702; a processing system, which may include memory 360 and may be the entire UE or a component of a UE (such as TX processor 368, RX processor 356 and / or controller / processor 359)). The method may be performed by a base station or a component of a base station (e.g., base station 102, 310, 504; device 802; a processing system, which may include memory 376 and may be the entire base station or a component of a base station (such as TX processor 316, RX processor 370 and / or controller / processor 375)). Optional aspects are illustrated with dashed lines. The methods described herein may provide several benefits, such as improved communication signaling, resource utilization, and / or power savings.

[0100] At 602, the UE or base station may determine and / or generate a matrix or Hadamard matrix associated with signal transmission, wherein the Hadamard matrix may include M rows and M columns, such as in combination with Figure 4 and 5 For example, Figure 5 As described in 510 of , UE 502 may determine and / or generate a matrix or Hadamard matrix associated with signal transmission, wherein the Hadamard matrix may include M rows and M columns. Figure 5 As described in 512 of , the base station 504 may determine and / or generate a matrix or Hadamard matrix associated with signal transmission, wherein the Hadamard matrix may include M rows and M columns. Figure 4 As shown in , the Hadamard matrix may correspond to the Hadamard sequence in 410. Further, 602 may be represented by Figure 7 The determination component 740 and / or Figure 8In addition, M can be the order of the Hadamard matrix.

[0101] At 604, the UE or base station may determine a sampling function for generating a set of sequences from the matrix or the Hadamard matrix, such as in combination with Figure 4 and 5 For example, Figure 5 As described in 520 of , UE 502 can determine a sampling function for generating a set of sequences from the matrix or Hadamard matrix. In addition, as Figure 5 As described in 522 of , the base station 504 can determine a sampling function for generating a set of sequences from the matrix or the Hadamard matrix. Figure 4 As shown in , the sampling function used to generate the sequence set can be associated with the Hadamard sequence in 410. Further, 604 can be obtained by Figure 7 The determination component 740 and / or Figure 8 The determination component 840 in is executed.

[0102] At 606, the UE or the base station may generate a sequence set by sampling one of the row set or the column set in the matrix based on the determined sampling function, such as in combination with Figure 4 and 5 For example, Figure 5 As described in 530, UE 502 can generate a sequence set by sampling one of the row set or column set in the matrix based on the determined sampling function. In addition, as Figure 5 As described in 532, the base station 504 can generate a sequence set by sampling one of the row set or column set in the matrix based on the determined sampling function. Figure 4 As shown in , the sequence set can be associated with the Hadamard sequence in 410. Further, 606 can be Figure 7 The determination component 740 and / or Figure 8 In some aspects, the generated sequence set may include M sequences. In addition, the row set may include each row in the M rows, and the column set may include each column in the M columns.

[0103] At 608, the UE or base station may map the UCI payload to at least one sequence in the sequence set, such as in combination with Figure 4 and 5 For example, Figure 5 As described in 540 of , UE 502 may map the UCI payload to at least one sequence in the sequence set. Further, 608 may be performed by Figure 7The determination component 740 and / or Figure 8 In some aspects, the at least one sequence can be identified from the set of sequences.

[0104] At 610, the UE or base station may modify the at least one sequence to generate at least one modified sequence, such as in combination with Figure 4 and 5 For example, Figure 5 As described in 550 of , UE 502 may modify the at least one sequence to generate at least one modified sequence. Figure 5 As described in 552 of , UE 504 may modify the at least one sequence to generate at least one modified sequence. Further, 610 may be performed by Figure 7 The determination component 740 and / or Figure 8 The determination component 840 in is executed.

[0105] At 612, the UE or the base station may point-by-point multiplex at least one other sequence with each sequence of the at least one sequence to generate at least one modified sequence or a point-by-point multiplexed sequence, such as in combination with Figure 4 and 5 For example, Figure 5 As described in 560 of , UE 502 may point-by-point multiplex at least one other sequence with each sequence in the at least one sequence to generate at least one modified sequence or a point-by-point multiplexed sequence. Figure 5 As described in 562 of , the base station 504 may point-by-point multiplex at least one other sequence with each sequence in the at least one sequence to generate at least one modified sequence or a point-by-point multiplexed sequence. Further, 612 may be performed by Figure 7 The determination component 740 and / or Figure 8 In some aspects, the point-by-point multiplexed sequence may include a π / 2 phase shift between each pair of adjacent elements of the sequence.

[0106] At 614, the UE or base station may convert the at least one sequence into at least one binary domain sequence, such as in combination with Figure 4 and 5 For example, Figure 5 As described in 570 of , UE 502 may convert the at least one sequence into at least one binary domain sequence. Figure 5 As described in 572 of the present invention, the base station 504 may convert the at least one sequence into at least one binary domain sequence. Further, 614 may be performed by Figure 7 The determination component 740 and / or Figure 8The determination component 840 in is executed.

[0107] At 616, the UE or the base station may modulate the at least one binary domain sequence based on π / 2 BPSK modulation, such as in combination with Figure 4 and 5 For example, Figure 5 As described in 580 of , UE502 may modulate the at least one binary domain sequence based on π / 2 BPSK modulation. Figure 5 As described in 582 of , the base station 504 can modulate the at least one binary domain sequence based on π / 2 BPSK modulation. Further, 616 can be composed of Figure 7 The determination component 740 and / or Figure 8 The determination component 840 in is executed.

[0108] At 618, the UE or base station may transmit or receive a signal derived based on at least one sequence in the sequence set, such as in combination with Figure 4 and 5 For example, Figure 5 As described in 590 of , UE 502 may transmit or receive a signal derived based on at least one sequence in the sequence set. Figure 5 As described in 592 of the embodiment, the base station 504 may transmit or receive a signal derived based on at least one sequence in the sequence set. Further, 618 may be performed by Figure 7 The determination component 740 and / or Figure 8 In some aspects, the signal may be derived based on the at least one modified sequence. The signal may also be derived based on at least one modulated binary domain sequence. In addition, the signal may be derived based on the at least one modified sequence or a point-by-point multiplexed sequence.

[0109] In some examples, the signal may include one of the following: a reference signal (RS), a secondary synchronization signal (SSS), a primary synchronization signal (PSS), a demodulation reference signal (DMRS), a channel state information (CSI) RS (CSI-RS), or a positioning RS (PRS). In addition, the signal may include one of the following: a preamble for a random access channel (RACH) procedure, RS, DMRS, a sounding RS (SRS), a positioning RS (PRS), or uplink control information (UCI).

[0110] In some aspects, the sampling function may be one of a quadratic sampling function, a cubic sampling function, or a recursive function. The sampling function may be equal to The sampling function can also be equal to A cubic sampling function of , where M is the order of the Hadamard matrix, a is a positive odd number, and b is a non-negative integer. Additionally, the sampling function can be a recursive function equal to f(n)=f(n-1)+f(n-2)mod M, where M is the order of the Hadamard matrix.

[0111] In some examples, the set of sequences may be generated by sampling a set of columns of a matrix based on a determined sampling function. In addition, each sequence in the set of sequences may be generated by sampling a column in the set of columns, and the sequence may include values ​​from m odd-numbered rows and n even-numbered rows. For example, |nm|≤3.

[0112] In some aspects, the set of sequences may be generated by sampling a set of M rows based on the determined sampling function. In addition, each sequence in the set of sequences may be generated by sampling a row in the set of rows, and the sequence may include values ​​from m odd-numbered columns and n even-numbered columns. For example, |nm|≤3.

[0113] Figure 7700 is an example of a hardware implementation of an illustrative device 702. The device 702 is a UE and includes a cellular baseband processor 704 (also referred to as a modem) coupled to a cellular RF transceiver 722 and one or more subscriber identity modules (SIM) cards 720, an application processor 706 coupled to a secure digital (SD) card 708 and a screen 710, a Bluetooth module 712, a wireless local area network (WLAN) module 714, a global positioning system (GPS) module 716, and a power supply 718. The cellular baseband processor 704 communicates with the UE 104 and / or the BS 102 / 180 through the cellular RF transceiver 722. The cellular baseband processor 704 may include a computer-readable medium / memory. The computer-readable medium / memory may be non-transient. The cellular baseband processor 704 is responsible for general processing, including the execution of software stored on the computer-readable medium / memory. The software, when executed by the cellular baseband processor 704, causes the cellular baseband processor 704 to perform the various functions described above. The computer-readable medium / memory may also be used to store data manipulated by the cellular baseband processor 704 when executing software. The cellular baseband processor 704 further includes a receiving component 730, a communication manager 732, and a transmitting component 734. The communication manager 732 includes one or more of the illustrated components. The components within the communication manager 732 may be stored in a computer-readable medium / memory and / or configured as hardware within the cellular baseband processor 704. The cellular baseband processor 704 may be a component of the UE 350 and may include a memory 360 and / or at least one of the following: a TX processor 368, an RX processor 356, and a controller / processor 359. In one configuration, the device 702 may be a modem chip and include only the baseband processor 704, and in another configuration, the device 702 may be the entire UE (e.g., see Figure 3 350) and includes the aforementioned additional modules of device 702.

[0114] The communication manager 732 includes a determining component 740 configured to determine a matrix associated with signal transmission, the matrix including M rows and M columns, for example, as combined with Figure 6 The determining component 740 is also configured to determine a sampling function for generating a set of sequences from the matrix, for example, as combined with Figure 6 The determining component 740 is further configured to generate a sequence set by sampling one of the row set or the column set based on the determined sampling function, for example, as combined with Figure 6 The determining component 740 is further configured to transmit a signal derived based on the determined at least one sequence, for example, as combined with Figure 6 As described in 620.

[0115] The apparatus may include executing Figure 5 and 6 The additional components of each box of the algorithm in the preceding flowchart. Thus, Figure 5 and 6 Each block in the aforementioned flow chart may be performed by a component and the device may include one or more of these components. These components may be one or more hardware components specifically configured to perform the process / algorithm, implemented by a processor configured to perform the process / algorithm, stored in a computer-readable medium for implementation by a processor, or some combination thereof.

[0116] In one configuration, the device 702, and in particular the cellular baseband processor 704, includes: a device for determining a matrix associated with signal transmission, the matrix including M rows and M columns; a device for determining a sampling function for generating a set of sequences from the matrix; a device for generating a set of sequences by sampling one of a set of rows or a set of columns in the matrix based on the determined sampling function; a device for transmitting a signal derived based on at least one sequence; a device for generating a Hadamard matrix; a device for mapping a UCI payload to at least one sequence in the set of sequences; a device for modifying the at least one sequence to generate at least one modified sequence, wherein the signal is derived based on the at least one modified sequence; a device for converting the at least one sequence into at least one binary domain sequence; a device for modulating the at least one binary domain sequence based on π / 2 binary phase shift keying (BPSK) modulation, wherein the signal is derived based on the modulated at least one binary domain sequence; a device for point-by-point multiplexing a sequence with each sequence in the at least one sequence to generate at least one modified sequence, wherein the signal is derived based on the at least one modified sequence. The aforementioned means may be one or more of the aforementioned components in the device 702 configured to perform the functions recited by the aforementioned means. As described above, the device 702 may include the TX processor 368, the RX processor 356, and the controller / processor 359. Thus, in one configuration, the aforementioned means may be the TX processor 368, the RX processor 356, and the controller / processor 359 configured to perform the functions recited by the aforementioned means.

[0117] Figure 8800 is an example of a hardware implementation of an illustrated device 802. The device 802 is a base station (BS) and includes a baseband unit 804. The baseband unit 804 can communicate with the UE 104 through a cellular RF transceiver 822. The baseband unit 804 may include a computer-readable medium / memory. The baseband unit 804 is responsible for general processing, including the execution of software stored on the computer-readable medium / memory. The software, when executed by the baseband unit 804, causes the baseband unit 804 to perform the various functions described above. The computer-readable medium / memory may also be used to store data manipulated by the baseband unit 804 when executing the software. The baseband unit 804 further includes a receiving component 830, a communication manager 832, and a transmitting component 834. The communication manager 832 includes one or more of the illustrated components. The components within the communication manager 832 may be stored in a computer-readable medium / memory and / or configured as hardware within the baseband unit 804. The baseband unit 804 may be a component of the BS 310 and may include the memory 376 and / or at least one of: the TX processor 316 , the RX processor 370 , and the controller / processor 375 .

[0118] The communication manager 832 includes a determining component 840 configured to determine a matrix associated with signal transmission, the matrix including M rows and M columns, such as in combination with Figure 6 The determining component 840 is also configured to determine a sampling function for generating a set of sequences from the matrix, for example, as combined with Figure 6 The determining component 840 is also configured to generate a sequence set by sampling one of the row set or the column set based on the determined sampling function, for example, as combined with Figure 6 The determining component 840 is further configured to transmit a signal derived based on the determined at least one sequence, for example, as combined with Figure 6 As described in 620.

[0119] The apparatus may include executing Figure 5 and 6 The additional components of each box of the algorithm in the preceding flowchart. Thus, Figure 5 and 6 Each block in the aforementioned flow chart may be performed by a component and the device may include one or more of these components. These components may be one or more hardware components specifically configured to perform the process / algorithm, implemented by a processor configured to perform the process / algorithm, stored in a computer-readable medium for implementation by a processor, or some combination thereof.

[0120] In one configuration, the device 802 and in particular the baseband unit 804 includes: a device for determining a matrix associated with signal transmission, the matrix including M rows and M columns; a device for determining a sampling function for generating a set of sequences from the matrix; a device for generating a set of sequences by sampling one of the set of rows or the set of columns based on the determined sampling function; a device for transmitting a signal derived based on at least one determined sequence; a device for generating a Hadamard matrix; a device for mapping a UCI payload to at least one sequence in the set of sequences; a device for modifying the at least one sequence to generate at least one modified sequence, wherein the signal is derived based on the at least one modified sequence; a device for converting the at least one sequence into at least one binary domain sequence; a device for modulating the at least one binary domain sequence based on π / 2 binary phase shift keying (BPSK) modulation, wherein the signal is derived based on the modulated at least one binary domain sequence; a device for point-by-point multiplexing a sequence with each sequence in the at least one sequence to generate at least one modified sequence, wherein the signal is derived based on the at least one modified sequence. The aforementioned means may be one or more of the aforementioned components in the device 802 configured to perform the functions recited by the aforementioned means. As described above, the device 802 may include the TX processor 316, the RX processor 370, and the controller / processor 375. Thus, in one configuration, the aforementioned means may be the TX processor 316, the RX processor 370, and the controller / processor 375 configured to perform the functions recited by the aforementioned means.

[0121] It should be understood that the specific order or hierarchy of each box in the disclosed process / flowchart is an illustration of an example approach. It should be understood that the specific order or hierarchy of each box in these process / flowcharts can be rearranged based on design preferences. In addition, some boxes can be combined or omitted. The attached method claims present the elements of various boxes in an exemplary order and are not meant to be limited to the specific order or hierarchy presented.

[0122] The previous description is provided to enable any person skilled in the art to practice the various aspects described herein. Various modifications to these aspects will be easily understood by those skilled in the art, and the universal principles defined in this article can be applied to other aspects. Thus, the claims are not intended to be limited to the aspects shown in this article, but should be granted the full scope consistent with the claims in language, wherein the singular reference of the elements is not intended to represent "there is and only one", but "one or more", unless otherwise stated. The wording "exemplary" is used herein to mean "used as an example, instance or explanation". Any aspect described as "exemplary" herein does not have to be interpreted as being superior to or superior to other aspects. Unless otherwise stated, the term "some / certain" refers to one or more. Combinations such as "at least one of A, B or C", "one or more of A, B or C", "at least one of A, B and C", "one or more of A, B and C" and "A, B, C or any combination thereof" include any combination of A, B and / or C, and may include multiple A, multiple B or multiple C. Specifically, combinations such as "at least one of A, B, or C," "one or more of A, B, or C," "at least one of A, B and C," "one or more of A, B, and C," and "A, B, C, or any combination thereof" may be A only, B only, C only, A and B, A and C, B and C, or A and B and C, wherein any such combination may include one or more members of A, B, or C. All structural and functional equivalents of the elements of the various aspects described throughout this disclosure that are currently or hereafter known to those of ordinary skill in the art are expressly incorporated herein by reference and are intended to be covered by the claims. In addition, nothing disclosed herein is intended to be dedicated to the public, regardless of whether such disclosure is expressly recorded in the claims. The terms "module," "mechanism," "element," "device," and the like may not be a substitute for the term "means." Thus, no claim element should be interpreted as a means-plus-function unless the element is explicitly stated using the phrase "means for..."

[0123] Example 1 is a wireless communication method. The method includes: determining a matrix associated with signal transmission, the matrix including M rows and M columns; determining a sampling function for generating a sequence set from the matrix; generating a sequence set by sampling one of the row set or the column set based on the determined sampling function; and transmitting a signal derived based on at least one of the determined sequences.

[0124] Aspect 2 is the method of aspect 1, wherein the matrix is ​​a Hadamard matrix, wherein M is the order of the Hadamard matrix.

[0125] Aspect 3 is the method of any one of aspects 1 and 2, further comprising generating a Hadamard matrix.

[0126] Aspect 4 is the method of any one of aspects 1 to 3, wherein the sampling function is one of a quadratic sampling function, a cubic sampling function, or a recursive function.

[0127] Aspect 5 is the method of any one of aspects 1 to 4, wherein the sampling function is equal to where a and b are positive odd integers, and c is a non-negative integer.

[0128] Aspect 6 is the method of any one of aspects 1 to 5, wherein the sampling function is equal to A cubic sampling function of , where a is a positive odd integer and b is a non-negative integer.

[0129] Aspect 7 is the method of any one of Aspects 1 to 6, wherein the sampling function is a recursive function equal to f(n)=f(n-1)+f(n-2)modM.

[0130] Aspect 8 is the method of any one of aspects 1 to 7, wherein the generated set of sequences comprises M sequences.

[0131] Aspect 9 is the method of any one of aspects 1 to 8, wherein the set of rows includes each of the M rows, and the set of columns includes each of the M columns.

[0132] Aspect 10 is a method of any one of Aspects 1 to 9, wherein the method is performed by a base station, and the signal includes one of the following: a reference signal (RS), a secondary synchronization signal (SSS), a primary synchronization signal (PSS), a demodulation reference signal (DMRS), a channel state information (CSI) RS (CSI-RS), or a positioning RS (PRS).

[0133] Aspect 11 is a method of any one of Aspects 1 to 10, wherein the method is performed by a user equipment (UE), and the signal includes one of the following: a preamble for a random access channel (RACH) procedure, a reference signal (RS), a demodulation reference signal (DMRS), a sounding RS (SRS), a positioning RS (PRS), or uplink control information (UCI).

[0134] Aspect 12 is the method of any one of aspects 1 to 11, wherein the signal comprises UCI, and determining the at least one sequence comprises mapping a UCI payload to at least one sequence in the set of sequences.

[0135] Aspect 13 is the method of any one of aspects 1 to 12, further comprising modifying the at least one sequence to generate at least one modified sequence, wherein the signal is derived based on the at least one modified sequence.

[0136] Aspect 14 is a method of any one of Aspects 1 to 13, further comprising converting the at least one sequence into at least one binary domain sequence; and modulating the at least one binary domain sequence based on π / 2 binary phase shift keying (BPSK) modulation, wherein the signal is derived based on the modulated at least one binary domain sequence.

[0137] Aspect 15 is the method of any one of aspects 1 to 14, further comprising point-wise multiplexing at least one other sequence with each of the at least one sequence to generate at least one modified sequence, wherein the signal is derived based on the at least one modified sequence.

[0138] Aspect 16 is the method of any one of aspects 1 to 15, wherein the point-by-point multiplexed sequence includes a π / 2 phase shift between each pair of adjacent elements of the sequence.

[0139] Aspect 17 is the method of any one of Aspects 1 to 16, wherein the set of sequences is generated by sampling the set of columns of the matrix based on the determined sampling function.

[0140] Aspect 18 is the method of any one of Aspects 1 to 17, wherein each sequence in the set of sequences is generated by sampling a column in the set of columns, and the sequence includes values ​​from m odd-numbered rows and n even-numbered rows.

[0141] Aspect 19 is the method of any one of aspects 1 to 18, wherein |nm|≤3.

[0142] Aspect 20 is the method of any one of Aspects 1 to 19, wherein the set of sequences is generated by sampling the set of rows of the matrix based on the determined sampling function.

[0143] Aspect 21 is the method of any one of Aspects 1 to 20, wherein each sequence in the set of sequences is generated by sampling a row in the set of rows, and the sequence includes values ​​from m odd-numbered columns and n even-numbered columns.

[0144] Aspect 22 is the method of any one of aspects 1 to 21, wherein |nm|≤3.

[0145] Aspect 23 is an apparatus for wireless communication, comprising means for implementing the method as in any one of aspects 1 to 22.

[0146] Aspect 24 is an apparatus for wireless communication, comprising: at least one processor coupled to a memory and configured to implement the method of any one of aspects 1 to 22.

[0147] Aspect 25 is a computer-readable medium storing a computer-executable code, wherein the code, when executed by a processor, causes the processor to implement the method of any one of aspects 1 to 22.

Claims

1. A wireless communication method, comprising: determining a sampling function for generating a set of sequences from a matrix, wherein the matrix comprises M rows and M columns; generating the set of sequences by sampling one of a set of rows or a set of columns from the matrix based on the sampling function; as well as transmitting a signal, wherein the signal is based on at least one sequence from the set of sequences, wherein: (a) The sampling function is equal to a quadratic function of , where a and b are positive odd integers and c is a non-negative integer, and where x is a positive integer; or (b) The sampling function is equal to a cubic function of , where d is a positive odd integer and e is a non-negative integer, and where y is a positive integer; or (c) the sampling function is a recursive function equal to f(z)=f(z-1)+f(z-2)mod M, where z is a positive integer and z≥2; or (d) each sequence in the set of sequences is based on sampling a column in the set of columns, and the set of sequences includes values ​​from m odd-numbered rows and n even-numbered rows; or (e) The method further comprises: converting the at least one sequence into at least one binary domain sequence; and modulating the at least one binary domain sequence based on π / 2 binary phase shift keying (BPSK) modulation, wherein the signal is based on the modulated at least one binary domain sequence.

2. The method of claim 1, wherein the matrix is ​​a Hadamard matrix, wherein M is the order of the Hadamard matrix.

3. The method of claim 2, further comprising: Generate the Hadamard matrix. 4 . The method of claim 1 , wherein the set of rows includes each of the M rows and the set of columns includes each of the M columns.

5. The method of claim 1, wherein the method is performed by a base station, and wherein the signal comprises one of: a reference signal (RS), a secondary synchronization signal (SSS), a primary synchronization signal (PSS), a demodulation reference signal (DMRS), a channel state information (CSI) RS (CSI-RS), or a positioning RS (PRS).

6. The method of claim 1, wherein the method is performed by a user equipment (UE), and wherein the signal comprises one of: a preamble for a random access channel (RACH) procedure, a reference signal (RS), a demodulation reference signal (DMRS), a sounding RS (SRS), a positioning RS (PRS), or uplink control information (UCI).

7. The method of claim 6, further comprising: A UCI payload is mapped to the at least one sequence in the set of sequences. The method of claim 1 , wherein |nm|≤3.

9. An apparatus for wireless communication, comprising: Memory; as well as at least one processor coupled to the memory, wherein the apparatus is configured to: determining a sampling function for generating a set of sequences from a matrix, wherein the matrix comprises M rows and M columns; generating the set of sequences by sampling one of a set of rows or a set of columns from the matrix based on the sampling function; converting at least one sequence in the set of sequences into at least one binary domain sequence; modulating the at least one binary domain sequence based on π / 2 binary phase shift keying (BPSK) modulation; as well as A signal is transmitted, wherein the signal is based on at least one binary domain sequence that is modulated.

10. The apparatus of claim 9, wherein the matrix is ​​a Hadamard matrix, wherein M is the order of the Hadamard matrix.

11. The apparatus of claim 10, wherein the apparatus is configured to: Generate the Hadamard matrix.

12. The device according to claim 9, where the sampling function is equal to A quadratic function of , where a and b are positive odd integers and c is a non-negative integer, and where n is a positive integer.

13. The apparatus of claim 9, wherein the sampling function is equal to A cubic function of , where a is a positive odd integer and b is a non-negative integer, and where n is a positive integer.

14. The apparatus of claim 9, wherein the sampling function is a recursive function equal to f(n)=f(n-1)+f(n-2)modM, where n is a positive integer and n≥2.

15. The apparatus of claim 9, wherein the set of sequences comprises M sequences.

16. The apparatus of claim 9, wherein the set of rows includes each of the M rows and the set of columns includes each of the M columns.

17. The apparatus of claim 9, wherein the apparatus is a base station, and wherein the signal comprises one of: a reference signal (RS), a secondary synchronization signal (SSS), a primary synchronization signal (PSS), a demodulation reference signal (DMRS), a channel state information (CSI) RS (CSI-RS), or a positioning RS (PRS).

18. The apparatus of claim 9, wherein the apparatus is a user equipment (UE), and wherein the signal comprises one of: a preamble for a random access channel (RACH) procedure, a reference signal (RS), a demodulation reference signal (DMRS), a sounding RS (SRS), a positioning RS (PRS), or uplink control information (UCI).

19. An apparatus for wireless communication, comprising: Memory; as well as at least one processor coupled to the memory, wherein the apparatus is configured to: determining a sampling function for generating a set of sequences from a matrix, wherein the matrix comprises M rows and M columns; generating the set of sequences by sampling a set of columns from the matrix based on the sampling function, wherein the set of sequences includes values ​​from x odd-numbered rows and y even-numbered rows; and A signal is transmitted, wherein the signal is based on at least one sequence in the set of sequences.

20. The apparatus of claim 19, wherein the matrix is ​​a Hadamard matrix, wherein M is the order of the Hadamard matrix.

21. The apparatus of claim 20, wherein the apparatus is configured to: Generate the Hadamard matrix.

22. The device according to claim 19, where the sampling function is equal to A quadratic function of , where a and b are positive odd integers and c is a non-negative integer, and where n is a positive integer.

23. The apparatus of claim 19, wherein the sampling function is equal to A cubic function of , where a is a positive odd integer and b is a non-negative integer, and where n is a positive integer.

24. The apparatus of claim 19, wherein the sampling function is a recursive function equal to f(n)=f(n-1)+f(n-2)modM, where n is a positive integer and n≥2.

25. The apparatus of claim 19, wherein the set of sequences comprises M sequences.

26. The apparatus of claim 19, wherein the set of rows includes each of the M rows and the set of columns includes each of the M columns.

27. The apparatus of claim 19, wherein the apparatus is a base station, and wherein the signal comprises one of: a reference signal (RS), a secondary synchronization signal (SSS), a primary synchronization signal (PSS), a demodulation reference signal (DMRS), a channel state information (CSI) RS (CSI-RS), or a positioning RS (PRS).

28. The apparatus of claim 19, wherein the apparatus is a user equipment (UE), and wherein the signal comprises one of: a preamble for a random access channel (RACH) procedure, a reference signal (RS), a demodulation reference signal (DMRS), a sounding RS (SRS), a positioning RS (PRS), or uplink control information (UCI).

29. The apparatus of claim 19, wherein the apparatus is configured to: converting the at least one sequence into at least one binary domain sequence; and The at least one binary domain sequence is modulated based on π / 2 binary phase shift keying (BPSK) modulation, wherein the signal is based on the modulated at least one binary domain sequence.

30. The apparatus of claim 19, wherein |yx|≤3.

31. An apparatus for wireless communication, comprising: Memory; as well as at least one processor coupled to the memory, wherein the apparatus is configured to: A set of sequences is generated by sampling one of a set of rows or a set of columns from a matrix including M rows and M columns based on a quadratic function, wherein the quadratic function is equal to wherein a and b are positive odd integers and c is a non-negative integer, and wherein n is a positive integer; as well as A signal is transmitted, wherein the signal is based on at least one sequence in the set of sequences.

32. The apparatus of claim 31, wherein the matrix is ​​a Hadamard matrix, wherein M is the order of the Hadamard matrix.

33. The apparatus of claim 32, wherein the apparatus is configured to: Generate the Hadamard matrix.

34. The apparatus of claim 31, wherein the set of sequences comprises M sequences.

35. The apparatus of claim 31, wherein the set of rows includes each of the M rows and the set of columns includes each of the M columns.

36. An apparatus as described in claim 31, wherein the apparatus is a base station, and wherein the signal includes one of the following: a reference signal (RS), a secondary synchronization signal (SSS), a primary synchronization signal (PSS), a demodulation reference signal (DMRS), a channel state information (CSI) RS (CSI-RS), or a positioning RS (PRS).

37. The apparatus of claim 31, wherein the apparatus is a user equipment (UE), and wherein the signal comprises one of: a preamble for a random access channel (RACH) procedure, a reference signal (RS), a demodulation reference signal (DMRS), a sounding RS (SRS), a positioning RS (PRS), or uplink control information (UCI).

38. The apparatus of claim 37, wherein the apparatus is configured to: A UCI payload is mapped to the at least one sequence in the set of sequences.

39. The apparatus of claim 31, wherein the apparatus is configured to: The at least one sequence is modified to generate at least one modified sequence, wherein the signal is based on the at least one modified sequence.

40. The apparatus of claim 31, wherein the apparatus is configured to: converting the at least one sequence into at least one binary domain sequence; and The at least one binary domain sequence is modulated based on π / 2 binary phase shift keying (BPSK) modulation, wherein the signal is based on the modulated at least one binary domain sequence.

41. The apparatus of claim 31 , wherein the apparatus is configured to: At least one other sequence is point-wise multiplexed with each of the at least one sequence to generate at least one modified sequence, wherein the signal is based on the at least one modified sequence.

42. The apparatus of claim 41, wherein the point-by-point multiplexed sequence comprises a π / 2 phase shift between each pair of adjacent elements of the sequence.

43. The apparatus of claim 31, wherein to generate the set of sequences by sampling one of the set of rows or the set of columns from the matrix, the apparatus is configured to generate the set of sequences by sampling the set of columns from the matrix.

44. An apparatus for wireless communication, comprising: Memory; as well as at least one processor coupled to the memory, wherein the apparatus is configured to: A set of sequences is generated by sampling one of a set of rows or a set of columns from a matrix including M rows and M columns based on a cubic function, wherein the cubic function is equal to wherein a is a positive odd integer and b is a non-negative integer, and wherein n is a positive integer; as well as A signal is transmitted, wherein the signal is based on at least one sequence in the set of sequences.

45. The apparatus of claim 44, wherein the matrix is ​​a Hadamard matrix, wherein M is the order of the Hadamard matrix.

46. ​​The apparatus of claim 45, wherein the apparatus is configured to: Generate the Hadamard matrix.

47. The apparatus of claim 44, wherein the set of sequences comprises M sequences.

48. The apparatus of claim 44, wherein the set of rows includes each of the M rows and the set of columns includes each of the M columns.

49. An apparatus as described in claim 44, wherein the apparatus is a base station, and wherein the signal includes one of the following: a reference signal (RS), a secondary synchronization signal (SSS), a primary synchronization signal (PSS), a demodulation reference signal (DMRS), a channel state information (CSI) RS (CSI-RS), or a positioning RS (PRS).

50. The apparatus of claim 44, wherein the apparatus is a user equipment (UE), and wherein the signal comprises one of: a preamble for a random access channel (RACH) procedure, a reference signal (RS), a demodulation reference signal (DMRS), a sounding RS (SRS), a positioning RS (PRS), or uplink control information (UCI).

51. The apparatus of claim 50, wherein the apparatus is configured to: A UCI payload is mapped to the at least one sequence in the set of sequences.

52. The apparatus of claim 44, wherein the apparatus is configured to: The at least one sequence is modified to generate at least one modified sequence, wherein the signal is based on the at least one modified sequence.

53. The apparatus of claim 44, wherein the apparatus is configured to: converting the at least one sequence into at least one binary domain sequence; and The at least one binary domain sequence is modulated based on π / 2 Binary Phase Shift Keying (BPSK) modulation, wherein the signal is derived based on the modulated at least one binary domain sequence.

54. The apparatus of claim 44, wherein the apparatus is configured to: At least one other sequence is point-wise multiplexed with each of the at least one sequence to generate at least one modified sequence, wherein the signal is based on the at least one modified sequence.

55. The apparatus of claim 54, wherein the point-by-point multiplexed sequence comprises a π / 2 phase shift between each pair of adjacent elements of the sequence.

56. The apparatus of claim 44, wherein to generate the set of sequences by sampling one of the set of rows or the set of columns from the matrix, the apparatus is configured to generate the set of sequences by sampling the set of columns from the matrix.

57. An apparatus for wireless communication, comprising: Memory; as well as at least one processor coupled to the memory, wherein the apparatus is configured to: generating a set of sequences by sampling one of a set of rows or a set of columns from a matrix including M rows and M columns based on a recursive function, wherein the recursive function is equal to f(n)=f(n-1)+f(n-2) mod M, where n is a positive integer and n≥2; and A signal is transmitted, wherein the signal is based on at least one sequence in the set of sequences.

58. The apparatus of claim 57, wherein the matrix is ​​a Hadamard matrix, wherein M is the order of the Hadamard matrix.

59. The apparatus of claim 58, wherein the apparatus is configured to: Generate the Hadamard matrix.

60. The apparatus of claim 57, wherein the set of sequences comprises M sequences.

61. The apparatus of claim 57, wherein the set of rows includes each of the M rows and the set of columns includes each of the M columns.

62. An apparatus as described in claim 57, wherein the apparatus is a base station, and wherein the signal includes one of the following: a reference signal (RS), a secondary synchronization signal (SSS), a primary synchronization signal (PSS), a demodulation reference signal (DMRS), a channel state information (CSI) RS (CSI-RS), or a positioning RS (PRS).

63. The apparatus of claim 57, wherein the apparatus is a user equipment (UE), and wherein the signal comprises one of: a preamble for a random access channel (RACH) procedure, a reference signal (RS), a demodulation reference signal (DMRS), a sounding RS (SRS), a positioning RS (PRS), or uplink control information (UCI).

64. The apparatus of claim 63, wherein the apparatus is configured to: A UCI payload is mapped to the at least one sequence in the set of sequences.

65. The apparatus of claim 57, wherein the apparatus is configured to: The at least one sequence is modified to generate at least one modified sequence, wherein the signal is based on the at least one modified sequence.

66. The apparatus of claim 57, wherein the apparatus is configured to: converting the at least one sequence into at least one binary domain sequence; and The at least one binary domain sequence is modulated based on π / 2 binary phase shift keying (BPSK) modulation, wherein the signal is based on the modulated at least one binary domain sequence.

67. The apparatus of claim 57, wherein the apparatus is configured to: At least one other sequence is point-wise multiplexed with each of the at least one sequence to generate at least one modified sequence, wherein the signal is based on the at least one modified sequence.

68. The apparatus of claim 66, wherein the point-by-point multiplexed sequence comprises a π / 2 phase shift between each pair of adjacent elements of the sequence.

69. The apparatus of claim 57, wherein to generate the set of sequences by sampling one of the set of rows or the set of columns from the matrix, the apparatus is configured to generate the set of sequences by sampling the set of columns from the matrix.

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