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171 results about "Hadamard matrix" patented technology

In mathematics, a Hadamard matrix, named after the French mathematician Jacques Hadamard, is a square matrix whose entries are either +1 or −1 and whose rows are mutually orthogonal. In geometric terms, this means that each pair of rows in a Hadamard matrix represents two perpendicular vectors, while in combinatorial terms, it means that each pair of rows has matching entries in exactly half of their columns and mismatched entries in the remaining columns. It is a consequence of this definition that the corresponding properties hold for columns as well as rows. The n-dimensional parallelotope spanned by the rows of an n×n Hadamard matrix has the maximum possible n-dimensional volume among parallelotopes spanned by vectors whose entries are bounded in absolute value by 1. Equivalently, a Hadamard matrix has maximal determinant among matrices with entries of absolute value less than or equal to 1 and so is an extremal solution of Hadamard's maximal determinant problem.

Infrared image compressed sensing reconstruction method based on guiding filtering and clipping filtering

ActiveCN104268907AReduce sparsityCompressed Sensing Refactoring Works WellImage enhancement2D-image generationMultiscale decompositionDecomposition
The invention discloses an infrared image compressed sensing reconstruction method based on guiding filtering and clipping filtering. The method mainly solves the problems that a traditional infrared image is low in quality and an existing compressed sensing reconstruction method is poor in effect. The method comprises the steps of (1) utilizing guiding filtering for conducting multi-scale decomposition on an original infrared image to obtain a low-frequency fuzzy image and a series of high-frequency detailed images, (2) conducting multi-direction decomposition on the high-frequency detailed images by means of the clipping filtering, adopting a partial Hadamard matrix for conducting dimensionality reduction observation for coefficients in different directions, a multi-path matching tracking method is used for optimization and reconstruction, conducting clipping filtering on the reconstructed coefficients in different directions to obtain the reconstructed high-frequency detailed images, and (3) adding the reconstructed high-frequency detailed images with a low-frequency smooth image obtained through traditional linear sampling to obtain an infrared reconstructed image. Compared with an existing compressed sensing technology, the better reconstructed quality is obtained, and the infrared image reconstruction method is effective and feasible.
Owner:XIDIAN UNIV

Method of LTE (Long Term Evolution) downlink auxiliary synchronizing channel detection with low complexity

The invention relates to a method of LTE (Long Term Evolution) downlink auxiliary synchronizing signal detection with low complexity, belonging to the technical field of mobile communication. The method comprises the following steps of: separating odd bits and even bits of an auxiliary synchronizing sequence of the received frequency-region signals to acquire an odd sequence and an even sequence; respectively carrying out sequence rearrangement, fast transformation of a Hadamard matrix and sequence rearrangement again on the odd sequence and the even sequence after descrambling to realize serial correlation operation; screening the identification number m0 corresponding to the maximal correlation value from the odd sequence; reducing the serial number range of the even sequence according to the corresponding relation between m0 and m1; screening the identification number m1 corresponding to the maximal correlation value from the even sequence of which the serial number range is reduced; and acquiring the corresponding cell identification mark according to the size relation between m0 and m1, wherein the subframe is a subframe 0 or a subframe 5. The invention simplifies the algorithm complexity of S-SCH signal detection from multiplication of 31*31 times to addition of 5*32 times, thereby greatly reducing the computation complexity in the detection process.
Owner:FUDAN UNIV

Extremely fast polling method for determining the presence of individual electric meters on a power line

A “super-fast” polling method for electrical meters for outage detection. In response to a query, a large group of electric meters (M) all simultaneously transmit reply signals over an electrical distribution network using TWACS®. The signals are separated by an inbound detector (IB) at a receiving end of the network. This allows a very large number of meters to be polled in a very short period of time to determine whether or not an outage has occurred at the location of each meter. Each meter transmits a bit pattern, and bit patterns are designed so a group of meter units can transmit their patterns simultaneously over a power line (L) to the inbound detector. The presence or absence of a bit pattern in the received signal conveys the presence or absence of the associated meter in the system. The ability to transmit multiple bit patterns in parallel requires that they be orthogonal to each other. The Hadamard matrices are a class of matrices whose rows could be used as a set of bit patterns. In addition to super-fast polling for outage detection, the method of the invention can also be used to poll meters for the presence of an alarm condition, as well as for both outage detection and an alarm condition.
Owner:ACLARA TECH LLC

Reception of multicarrier spread-spectrum signals

A system (100), receiver (160-190) and method of operation for spread OFDM wireless communication (single user OFDM-CDMA with cyclic-prefix) by: equalizing the received spread OFDM signal (y) and splitting it into first and second portions (ŝ1, ŝ2); making a decision on the second portion and subtracting the second portion from the received signal to produce a first difference signal; processing the first difference signal to recover the first portion of the received signal in which symbol interfering terms of the second portion are substantially reduced; making a decision on the first portion and subtracting the first portion from the received signal to produce a second difference signal; and processing the second difference signal to recover the second portion of the received signal in which symbol interfering terms of the first portion are substantially reduced. The process may be iterated extensively at this stage. In a second stage, the recovered received signal is split into a greater number of portions (e.g., 4), and processed similarly to further reduce interference. The same mechanisms can be applied to blocks of reduced size (divided into 8, 16 etc.) leading to a higher resolution of the decoding and a tree-like structure. Also, minimum mean square error equalization is performed by multiplying by a first diagonal matrix having elements dependent on channel coefficients; and multiplying by a second matrix which is a subset of a Walsh Hadamard matrix. This provides low arithmetical complexity, it is possible to adjust the number of iterations to be performed based on a performance / complexity tradeoff, it can be viewed as a simple extension of current OFDM systems, and it yields a significant PER performance enhancement (e.g., 3 dB) (FIGS. 1&2 to accompany abstract)
Owner:GOOGLE TECH HLDG LLC

Method for generating signals of low-interference multi-velocity multi-district quasi-synchronous CDMA communication system

The invention discloses a signal generation method of a low-interference multispeed multi-cell quasi-synchronous code division multiple access (CDMA) communication system. The method comprises the steps: a spread spectrum sequence code group is an Hadamard matrix set with certain idealized characteristics formed by Bent functions and a Walsh-Hadamard orthogonal sequence set; a sequence set with the characteristic of a similar zero correlation zone (ZCZ) sequence is obtained by calculating with a pair of complementary sequence sets by utilizing the Hadamard matrix set; and a plurality groups of sequence sets with the similar ZCZ sequence characteristics are obtained by carrying out Cartesian convolution operation with the orthogonal sequence set by utilizing the similar ZCZ sequence set. When a system maximum synchronization error and a channel maximum multipath delay spread are in the stated range, the system interference can be reduced greatly. The parameters of the spread spectrum sequence code group and the system efficiency can be adjusted and flexibly selected according to the practical factors. Therefore, the requirements of power control and synchronization by the CDMA communication system are reduced, and the complexity of system realization is lowered.
Owner:CHONGQING WIRELESS OASIS COMM TECHCO +1

Extremely fast polling method for determining the presence of individual electric meters on a power line

A “super-fast” polling method for electrical meters for outage detection. In response to a query, a large group of electric meters (M) all simultaneously transmit reply signals over an electrical distribution network using TWACS®. The signals are separated by an inbound detector (IB) at a receiving end of the network. This allows a very large number of meters to be polled in a very short period of time to determine whether or not an outage has occurred at the location of each meter. Each meter transmits a bit pattern, and bit patterns are designed so a group of meter units can transmit their patterns simultaneously over a power line (L) to the inbound detector. The presence or absence of a bit pattern in the received signal conveys the presence or absence of the associated meter in the system. The ability to transmit multiple bit patterns in parallel requires that they be orthogonal to each other. The Hadamard matrices are a class of matrices whose rows could be used as a set of bit patterns.In addition to super-fast polling for outage detection, the method of the invention can also be used to poll meters for the presence of an alarm condition, as well as for both outage detection and an alarm condition.
Owner:ACLARA TECH LLC
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