Network throughput testing method, device and equipment
By obtaining the non-collision probability and the probability of packet success of the target reference node in the LoRa network, combining the node bit rate, determining and averaging the network throughput, the collision and throughput instability caused by the multiple users in the LoRa network is solved, and the accuracy of the test results is improved.
Patent Information
- Application Number
- CN202411338275.6
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2024-09-25
- Publication Date
- 2025-02-25
- Estimated Expiration
- 2044-09-25
AI Technical Summary
More and more users in the LoRa network lead to serious collisions between data transmissions, poor system performance and unstable network throughput.
By obtaining the probability of no collision interference of the target reference node in the LoRa network and the probability of successful arrival of the packet under channel noise interference, combining the node bit rate, the network throughput of the target reference node is determined, and its average value is used as the preset target network throughput of the LoRa network.
By comprehensively considering the probability of no collision under CO-SF interference and inter-SF interference, the accuracy and reliability of network throughput test results are improved, and the problem of unstable network throughput is solved.
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Figure CN119520357A_ABST
Abstract
Description
Technical Field
[0001] The present invention relates to the field of Internet communication technology, and in particular to a network throughput testing method, device and equipment. Background Art
[0002] As a representative technology in the field of low power consumption in the Internet of Things, LoRa has attracted extensive attention from academia and industry in recent years and will play an increasingly important role in the future construction of smart cities. LoRa has a complete communication architecture, including terminal equipment, gateways, network services, and application services. The physical layer of LoRa uses Chirp Spread Spectrum (CSS) modulation, a chirp spread spectrum modulation that can carry multiple different spreading factors (SF). Signals with large spreading factors have long transmission distances but low rates, and signals with different SFs are orthogonal to each other and can be transmitted simultaneously without interfering with each other. The MAC layer of LoRa uses a protocol similar to the non-slotted ALOHA protocol, which can be sent at any time as long as there is data. Due to the lack of time synchronization and carrier sensing, this protocol will cause serious collisions when there are more and more users, the system performance will deteriorate, and the network throughput will become unstable. Summary of the invention
[0003] The purpose of the invention is to solve the technical problem that the increasing number of LoRa network users causes serious collisions between data transmissions, the system performance deteriorates, and the network throughput becomes unstable. The present invention provides a network throughput testing method, device and equipment.
[0004] The technical solution of the embodiment of the present application is implemented as follows:
[0005] A first aspect of an embodiment of the present application provides a network throughput testing method, including:
[0006] Obtaining the non-collision probability of the target reference node being interfered by a single node in the preset LoRa network and the probability of successful arrival of the data packet under the influence of channel noise interference; the non-collision probability includes the non-collision probability under CO-SF interference and / or inter-SF interference; the target reference node is any node in the preset LoRa network;
[0007] Determine the network throughput of the target reference node based on the node bit rate of the target reference node, the non-collision probability and the successful arrival probability;
[0008] An average value of the network throughputs of all the target reference nodes is determined as the target network throughput of the preset LoRa network.
[0009] Optionally, the probability of successful arrival of a data packet under the influence of channel noise interference is:
[0010]
[0011] Among them, Δ s It represents the SNR threshold corresponding to the target reference node that can still transmit smoothly under the influence of noise, N0=BW·K·T is the noise power, where BW is the channel bandwidth, K is the Kelvin constant, T is the temperature, P is the transmit power of the terminal device, α is the path fading coefficient, and r is the distance from the gateway to the target reference node; A0=(c / f c ) 2 / 4π, from the carrier frequency f c , the Friis transmission equation for the speed of light c.
[0012] Optionally, the non-collision probability under CO-SF interference is:
[0013]
[0014] Among them, δ(.) is the Dirac function, is the packet duration of SF, T c is the node period, data, is the data rate.
[0015] Optionally, the expression form of the non-collision probability under inter-SF interference is the same as that under CO-SF interference.
[0016] Optionally, the probability that a single node in the preset LoRa network does not collide is:
[0017]
[0018] Optionally, the determining the network throughput of the target reference node based on the node bit rate of the target reference node, the non-collision probability, and the successful arrival probability includes:
[0019] The product of the node bit rate of the target reference node, the non-collision probability and the successful arrival probability is determined as the network throughput of the target reference node.
[0020] Optionally, the target network throughput is:
[0021]
[0022] Wherein, N is the total number of nodes in the preset LoRa network, S i is the network throughput of the target reference node.
[0023] A second aspect of an embodiment of the present application provides a network throughput test device, including: an acquisition module, a first determination module and a second determination module, wherein:
[0024] The acquisition module is configured to acquire the non-collision probability of the target reference node being interfered by a single node in the preset LoRa network and the probability of successful arrival of the data packet under the influence of channel noise interference; the non-collision probability includes the non-collision probability under CO-SF interference and / or inter-SF interference; the target reference node is any node in the preset LoRa network;
[0025] The first determination module is configured to determine the network throughput of the target reference node based on the node bit rate of the target reference node, the non-collision probability and the successful arrival probability;
[0026] The second determination module is configured to determine an average value of the network throughputs of all the target reference nodes as the target network throughput of the preset LoRa network.
[0027] A third aspect of an embodiment of the present application provides an electronic device, comprising a processor and a memory; the memory stores a computer program, wherein the computer program implements the network throughput testing method described in the first aspect when executed by the processor.
[0028] A fourth aspect of an embodiment of the present application provides a computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the steps of the method described in the first aspect.
[0029] Compared with the prior art, the technical solution provided by this application has the following beneficial effects:
[0030] The present invention provides a network throughput test method, device and equipment. The method comprises the following steps: obtaining a non-collision probability of a target reference node being interfered by a single node in a preset LoRa network and a successful arrival probability of a data packet under the influence of channel noise interference, wherein the non-collision probability includes a non-collision probability under CO-SF interference and / or inter-SF interference, and the target reference node is any node in the preset LoRa network; determining the network throughput of the target reference node based on the node bit rate of the target reference node, the non-collision probability and the successful arrival probability, determining an average value of the network throughputs of all the target reference nodes as the target network throughput of the preset LoRa network, and comprehensively considering the non-collision probability under CO-SF interference and inter-SF interference, thereby improving the accuracy and reliability of the test result. BRIEF DESCRIPTION OF THE DRAWINGS
[0031] Figure 1A flowchart of a network throughput testing method provided in an embodiment of the present application;
[0032] Figure 2 A schematic diagram of the structure of a network throughput test device provided in an embodiment of the present application;
[0033] Figure 3 A schematic diagram of the structure of an electronic device provided in an embodiment of the present application. DETAILED DESCRIPTION
[0034] Below, embodiments of the present application will be described with reference to the accompanying drawings. However, it should be understood that these descriptions are exemplary only and are not intended to limit the scope of the present application. In the following detailed description, for ease of explanation, many specific details are set forth to provide a comprehensive understanding of the embodiments of the present application. However, it is apparent that one or more embodiments may also be implemented without these specific details. In addition, in the following description, descriptions of known structures and technologies are omitted to avoid unnecessary confusion of the concepts of the present application.
[0035] The terms used herein are only for describing specific embodiments and are not intended to limit the present application. The terms "include", "comprising", etc. used herein indicate the existence of the features, steps, operations and / or components, but do not exclude the existence or addition of one or more other features, steps, operations or components.
[0036] All terms (including technical and scientific terms) used herein have the meanings commonly understood by those skilled in the art, unless otherwise defined. It should be noted that the terms used herein should be interpreted as having a meaning consistent with the context of this specification, and should not be interpreted in an idealized or overly rigid manner.
[0037] Some block diagrams and / or flow charts are shown in the accompanying drawings. It should be understood that some blocks or combinations thereof in the block diagrams and / or flow charts may be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general-purpose computer, a special-purpose computer, or other programmable data processing device, so that these instructions, when executed by the processor, may create a device for implementing the functions / operations described in these block diagrams and / or flow charts.
[0038] In some embodiments, see Figure 1 , Figure 1 A flow chart of a network throughput testing method provided in an embodiment of the present application; A network throughput testing method provided in an embodiment of the present application includes:
[0039] S110, obtaining the non-collision probability of the target reference node being interfered by a single node in the preset LoRa network and the probability of successful arrival of the data packet under the influence of channel noise interference; the non-collision probability includes the non-collision probability under CO-SF interference and / or inter-SF interference; the target reference node is any node in the preset LoRa network.
[0040] CO-SF (Common Spreading Factor) interference occurs when packets sent by different LoRa terminals use the same carrier frequency (CF) and spreading factor (SF), and overlap in transmission time. Since the same CF and SF are used, this interference will definitely lead to transmission conflicts. Inter-SF (Inter-Spreading Factor) interference occurs when packets sent by different LoRa terminals use the same carrier frequency but different spreading factors, and overlap in transmission time. This interference is caused by the imperfect orthogonality of LoRa symbols.
[0041] In this embodiment, the probability of other nodes and the target reference node sending data packets at the same time under the same spreading factor (SF) and the interference between different spreading factors are comprehensively considered. The PSP (Packet Success Probability) of the target reference node being interfered by a single node can be expressed as: PSP = P ne ·P nc ; Among them, P ne is the data successful arrival rate, P nc is the probability of no collision. nc =P nc _co·P nc _inter.
[0042] In one example, a reference node i is selected, and interference nodes j and k are selected, where nodes i and j are modulated with the same SF, and i and k are modulated with different SFs. Assume that the three node periods T c If the ALOHA protocol is used for random transmission without time slots, nodes j and k can be used as interference sources for node i. The probability density function (PDF) of the collision overlap time under aggregate interference can be defined as:
[0043]
[0044] Among them, δ(.) is the Dirac function, is the packet duration of SF, is the collision overlap time in the aggregate interference scenario. The first term on the right side of the formula represents the PDF when there is no packet collision, and the second term represents the PDF when there is packet collision (overlap) (i.e., the packets are completely overlapped or partially overlapped).
[0045] The LoRa physical frame consists of three elements: preamble, frame header, valid data and cyclic redundancy check (CRC). The length of the preamble is variable. According to the research results of previous researchers on LoRa, the actual preamble length is equal to the set value plus 4.25, which contains 2 synchronization codes, 2.25 synchronization Down Chirps, and the set value L preamble The general value is 8. Therefore, the total number of symbols in the preamble part is:
[0046] L sym_pre =L preamble +4.25;
[0047] According to the data transmission time being the product of the symbol length and the symbol transmission time, the symbol transmission time of the preamble part is:
[0048]
[0049] T sym_pre =(L preamble +4.25)·T sym bol ;
[0050] The frame header is divided into explicit frame header and implicit frame header. The explicit frame header directly carries the load-related information, while the implicit frame header does not exist in the data packet. The relevant information has been notified in advance before transmission. The effective load is generated by the actual data through modulation and coding, and its length is related to the actual data length. Therefore, the transmission time ToA of the LoRa data packet includes the preamble and the effective load part:
[0051]
[0052] Under inter-SF, the collision time between reference node i and interference node k depends on the node with the larger transmission time, that is:
[0053]
[0054] The length of the payload is related to the explicit and implicit frame header:
[0055]
[0056] The transmission time is:
[0057] T sym_payload =L payload ·Tsymbol ;
[0058] Among them, PL is the length of the effective load, the code rate (CR) ranges from 1 to 4, which means that the code rate range varies in the range of {4 / 5, 4 / 6, 4 / 7, 4 / 8}. H represents the explicit or implicit header (H=0 is the explicit header, H=1 is the implicit header), DE represents the data rate optimization option (DE=1 means using low rate optimization, DE=0 means not using), and C represents whether there is a payload CRC (C=1 means it exists, C=0 means it does not exist).
[0059] Assuming that node i is r meters away from the gateway under aggregate interference, the signal-to-interference ratio SIR of the reference node modulated by a certain SF can be expressed as the ratio of its signal power to the signal power of the interfering node, that is:
[0060]
[0061] Under co-SF and inter-SF interference, Can be expressed as:
[0062]
[0063] Where A0=(c / f c ) 2 / 4π, from the carrier frequency f c , the Friis transmission equation for the speed of light c. r and denote the distance from the gateway to the reference node i and to the interference node from the gateway, g and Denotes their corresponding channel fading powers. Assuming that these fading powers satisfy exponential distribution, g~exp(1) and represents the set of all terminal devices that use the same SF modulation as the reference node i; represents the set of all terminal devices that use different SF modulation than the reference node i. is used to normalize the interference power.
[0064] In some embodiments, the probability of successful arrival of a data packet under the influence of channel noise interference is:
[0065]
[0066] Among them, Δ sIt represents the SNR threshold corresponding to the target reference node that can still transmit smoothly under the influence of noise, N0=BW·K·T is the noise power, where BW is the channel bandwidth, K is the Kelvin constant, T is the temperature, P is the transmit power of the terminal device, α is the path fading coefficient, and r is the distance from the gateway to the target reference node; A0=(c / f c ) 2 / 4π, from the carrier frequency f c , the Friis transmission equation for the speed of light c.
[0067] In some embodiments, the non-collision probability under CO-SF interference is:
[0068]
[0069] Among them, δ(.) is the Dirac function, is the packet duration of SF, T c is the node period, data, is the data rate.
[0070] In this embodiment, the packet arrival rate P of node i under the interference of node j is nc _co can be expressed as:
[0071]
[0072] here, (a) follows g~exp(1), (b) follows the definition of Laplace transform, where express The Laplace transform of . Assume The Laplace transform of can be expanded as:
[0073]
[0074] because Using the moment generating function, the above equation can be expressed as:
[0075]
[0076] By applying the probability generating function of the two-dimensional homogeneous PPP to the above equation, we have
[0077]
[0078] in, Here, (c) follows the transformation from rectangular coordinates to polar coordinates. Since the interference nodes are distributed in the disk with radius R, the integral limit in the above formula varies between 0 and R. for The density of the corresponding nodes. The expected terms in can be expanded to:
[0079]
[0080] Solving the integral of the above formula, we can get:
[0081]
[0082] In some embodiments, the expression form of the non-collision probability under inter-SF interference is the same as that under CO-SF interference.
[0083] It should be noted that although the expression of the non-collision probability under inter-SF interference is the same as that under CO-SF interference, the transmission time There are differences in the impact on the non-collision probability in the two different interference situations of co-SF and inter-SF.
[0084] S120, determining the network throughput of the target reference node based on the node bit rate, non-collision probability and successful arrival probability of the target reference node.
[0085] Here, the network throughput of the target reference node is determined based on the node bit rate and successful arrival probability of the target reference node and comprehensively considering the non-collision probability under CO-SF interference and inter-SF interference.
[0086] In some embodiments, S120, determining the network throughput of the target reference node based on the node bit rate, non-collision probability and successful arrival probability of the target reference node includes:
[0087] The product of the node bit rate, the non-collision probability and the successful arrival probability of the target reference node is determined as the network throughput of the target reference node.
[0088] S130, determining an average value of the network throughputs of all target reference nodes as a target network throughput of a preset LoRa network.
[0089] In some embodiments, the target network throughput is:
[0090]
[0091] Wherein, N is the total number of nodes in the preset LoRa network, S i is the network throughput of the target reference node.
[0092] In the embodiment of the present application, the non-collision probability of the target reference node being interfered by a single node in the preset LoRa network and the probability of successful arrival of the data packet under the influence of channel noise interference are obtained, the non-collision probability includes the non-collision probability under CO-SF interference and / or inter-SF interference, the target reference node is any node in the preset LoRa network, the network throughput of the target reference node is determined based on the node bit rate, non-collision probability and successful arrival probability of the target reference node, the average value of the network throughput of all target reference nodes is determined as the target network throughput of the preset LoRa network, and the accuracy and reliability of the test results are improved by comprehensively considering the non-collision probability under CO-SF interference and inter-SF interference.
[0093] In some embodiments, see Figure 2 , Figure 2 A schematic diagram of the structure of a network throughput test device provided in an embodiment of the present application. A network throughput test device 200 provided in an embodiment of the present application includes: an acquisition module 210, a first determination module 220 and a second determination module 230, wherein:
[0094] The acquisition module 210 is configured to obtain the non-collision probability of the target reference node being interfered by a single node in the preset LoRa network and the probability of successful arrival of the data packet under the influence of channel noise interference; the non-collision probability includes the non-collision probability under CO-SF interference and / or inter-SF interference; the target reference node is any node in the preset LoRa network.
[0095] The first determination module 220 is configured to determine the network throughput of the target reference node based on the node bit rate, non-collision probability and successful arrival probability of the target reference node.
[0096] The second determination module 230 is configured to determine an average value of the network throughputs of all target reference nodes as a target network throughput of a preset LoRa network.
[0097] In some embodiments, the probability of successful arrival of a data packet under the influence of channel noise interference is:
[0098]
[0099] Among them, Δ s It represents the SNR threshold corresponding to the target reference node that can still transmit smoothly under the influence of noise, N0=BW·K·T is the noise power, where BW is the channel bandwidth, K is the Kelvin constant, T is the temperature, P is the transmit power of the terminal device, α is the path fading coefficient, and r is the distance from the gateway to the target reference node; A0=(c / f c ) 2 / 4π, from the carrier frequency fc , the Friis transmission equation for the speed of light c.
[0100] In some embodiments, the non-collision probability under CO-SF interference is:
[0101]
[0102] Among them, δ(.) is the Dirac function, is the packet duration of SF, T c is the node period, data, is the data rate.
[0103] In some embodiments, the expression form of the non-collision probability under inter-SF interference is the same as that under CO-SF interference.
[0104] In some embodiments, the probability that a single node in the LoRa network does not collide is preset to:
[0105]
[0106] In some embodiments, the first determination module 220 is specifically configured as follows:
[0107] The product of the node bit rate, the non-collision probability and the successful arrival probability of the target reference node is determined as the network throughput of the target reference node.
[0108] In some embodiments, the target network throughput is:
[0109]
[0110] Wherein, N is the total number of nodes in the preset LoRa network, S i is the network throughput of the target reference node.
[0111] The network throughput testing device provided in the embodiment of the present application can implement each process in the embodiment corresponding to the above-mentioned network throughput testing method. To avoid repetition, it will not be described here.
[0112] It should be noted that the network throughput testing device provided in the embodiment of the present application and the network throughput testing method provided in the embodiment of the present application are based on the same application concept, so the specific implementation of this embodiment can refer to the implementation of the aforementioned network throughput testing method, and the repeated parts will not be repeated.
[0113] In some embodiments, see Figure 3 , Figure 3The electronic device 300 provided in the embodiment of the present application includes a processor 310 and a memory 320; the memory 320 stores a computer program, wherein the computer program implements the above-mentioned network throughput test method when executed by the processor.
[0114] Specifically, the processor 310 may include, for example, a general-purpose microprocessor, an instruction set processor and / or a related chipset and / or a special-purpose microprocessor (e.g., an application-specific integrated circuit (ASIC)), etc. The processor 310 may also include an onboard memory for cache purposes. The processor 310 may be a single processing unit or multiple processing units for executing different actions of the method flow according to the embodiment of the present application.
[0115] The memory 320 may be any medium capable of containing, storing, conveying, propagating or transmitting instructions. For example, the memory 320 may include, but is not limited to, an electrical, magnetic, optical, electromagnetic, infrared or semiconductor system, device, component or propagation medium. Specific examples of the memory 320 include: a magnetic storage device, such as a magnetic tape or a hard disk (HDD); an optical storage device, such as a compact disk (CD-ROM); a random access memory (RAM) or flash memory; and / or a wired / wireless communication link.
[0116] The present application also provides a computer-readable medium on which a computer program is stored, and when the program is executed by a processor, the above-mentioned network throughput test method is implemented. The computer-readable medium may be included in the device / apparatus / system described in the above-mentioned embodiment; or it may exist independently without being assembled into the device / apparatus / system. The above-mentioned computer-readable medium carries one or more programs, and when the above-mentioned one or more programs are executed, the method according to the embodiment of the present application is implemented.
[0117] According to an embodiment of the present application, a computer-readable medium may be a computer-readable signal medium or a computer-readable storage medium or any combination of the two. A computer-readable storage medium may be, for example, but not limited to, an electrical, magnetic, optical, electromagnetic, infrared, or semiconductor system, device or device, or any combination of the above. More specific examples of computer-readable storage media may include, but are not limited to: an electrical connection with one or more wires, a portable computer disk, a hard disk, a random access memory (RAM), a read-only memory (ROM), an erasable programmable read-only memory (EPROM or flash memory), an optical fiber, a portable compact disk read-only memory (CD-ROM), an optical storage device, a magnetic storage device, or any suitable combination of the above. In the present application, a computer-readable storage medium may be any tangible medium containing or storing a program that may be used by or in combination with an instruction execution system, device or device. In the present application, a computer-readable signal medium may include a data signal propagated in a baseband or as part of a carrier wave, wherein a computer-readable program code is carried. Such propagated data signals may take a variety of forms, including but not limited to electromagnetic signals, optical signals, or any suitable combination of the above. A computer-readable signal medium may also be any computer-readable medium other than a computer-readable storage medium, which may send, propagate or transmit a program for use by or in conjunction with an instruction execution system, apparatus or device. The program code contained on the computer-readable medium may be transmitted using any appropriate medium, including but not limited to: wireless, wired, optical cable, radio frequency signal, etc., or any suitable combination of the above.
[0118] Those skilled in the art will appreciate that the features described in the various embodiments and / or claims of the present application may be combined and / or combined in a variety of ways, even if such combinations or combinations are not explicitly described in the present application. In particular, without departing from the spirit and teachings of the present application, the features described in the various embodiments and / or claims of the present application may be combined and / or combined in a variety of ways. All of these combinations and / or combinations fall within the scope of the present application. Therefore, the scope of the present application should not be limited to the above-described embodiments, but should be determined not only by the appended claims, but also by the equivalents of the appended claims.
Claims
1. A network throughput testing method, characterized in that: include: Obtaining the non-collision probability of the target reference node being interfered by a single node in the preset LoRa network and the probability of successful arrival of the data packet under the influence of channel noise interference; the non-collision probability includes the non-collision probability under CO-SF interference and / or inter-SF interference; the target reference node is any node in the preset LoRa network; Determine the network throughput of the target reference node based on the node bit rate of the target reference node, the non-collision probability and the successful arrival probability; An average value of the network throughputs of all the target reference nodes is determined as the target network throughput of the preset LoRa network.
2. The network throughput testing method according to claim 1, characterized in that: The probability of successful arrival of a data packet under the influence of channel noise interference is: Among them, Δ s It represents the SNR threshold corresponding to the target reference node that can still transmit smoothly under the influence of noise, N0=BW·K·T is the noise power, where BW is the channel bandwidth, K is the Kelvin constant, T is the temperature, P is the transmit power of the terminal device, α is the path fading coefficient, and r is the distance from the gateway to the target reference node; A0=(c / f c ) 2 / 4π, from the carrier frequency f c , the Friis transmission equation for the speed of light c.
3. The network throughput testing method according to claim 1, characterized in that: The non-collision probability under CO-SF interference is: Among them, δ(.) is the Dirac function, is the packet duration of SF, T c is the node period, data, is the data rate.
4. The network throughput testing method according to claim 3, characterized in that: The expression of the non-collision probability under inter-SF interference is the same as that under CO-SF interference.
5. The network throughput testing method according to claim 4, characterized in that: The probability that a single node in the preset LoRa network does not collide is:
6. The network throughput testing method according to claim 1, characterized in that: The determining the network throughput of the target reference node based on the node bit rate of the target reference node, the non-collision probability and the successful arrival probability comprises: The product of the node bit rate of the target reference node, the non-collision probability and the successful arrival probability is determined as the network throughput of the target reference node.
7. The network throughput testing method according to claim 1, characterized in that: The target network throughput is: Wherein, N is the total number of nodes in the preset LoRa network, S i is the network throughput of the target reference node.
8. A network throughput testing device, characterized in that: include: an acquisition module, a first determination module and a second determination module, wherein: The acquisition module is configured to acquire the non-collision probability of the target reference node being interfered by a single node in the preset LoRa network and the probability of successful arrival of the data packet under the influence of channel noise interference; the non-collision probability includes the non-collision probability under CO-SF interference and / or inter-SF interference; the target reference node is any node in the preset LoRa network; The first determination module is configured to determine the network throughput of the target reference node based on the node bit rate of the target reference node, the non-collision probability and the successful arrival probability; The second determination module is configured to determine an average value of the network throughputs of all the target reference nodes as the target network throughput of the preset LoRa network.
9. An electronic device comprising a processor and a memory; the memory stores a computer program, wherein: When the computer program is executed by the processor, the computer program implements the network throughput testing method according to any one of claims 1 to 7.
10. A computer-readable storage medium having a computer program stored thereon, wherein when the program is executed by a processor, the steps of the method according to any one of claims 1 to 7 are implemented.
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