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178 results about "Transpose" patented technology

In linear algebra, the transpose of a matrix is an operator which flips a matrix over its diagonal, that is it switches the row and column indices of the matrix by producing another matrix denoted as Aᵀ (also written A′, Aᵗʳ, A or Aᵗ). It is achieved by any one of the following equivalent actions: reflect A over its main diagonal (which runs from top-left to bottom-right) to obtain Aᵀ, write the rows of A as the columns of Aᵀ, write the columns of A as the rows of Aᵀ.

Matrix inverse operation method

The invention relates to a matrix inverse operation method. The method comprises the steps of 1, conducting column pivoting LU decomposition, wherein a source matrix A is decomposed into a unit lower triangular matrix L, an upper triangular matrix U and a permutation matrix P according to the formula PA=LU; 2, conducting triangular matrix inversion, wherein the inverse matrix L-1 of the matrix L is obtained through matrix inversion, and matrix inversion is conducted on the transposed matrix of the matrix U and then transposition is conducted to obtain U-1; 3, finally conducting matrix multiplication, wherein the matrix U-1 and the matrix L-1 are multiplied, and column transformation is conducted on the matrix multiplication result according to the permutation matrix P to obtain a source matrix A-1. The method has the advantages that by using the column pivoting LU decomposition algorithm, the time complexity of the matrix inversion algorithm is effectively reduced, parallelizability of matrix inversion operation is improved, time for matrix inversion operation is shortened, matrix inversion operation of any order can be conducted, and the number of hardware resources can be increased or reduced according to count requirements of operation so that practical application requirements can be better met.
Owner:NANJING UNIV

Limiting feedback method and device for large-scale antenna system

The invention provides a limiting feedback method and device for a large-scale antenna system. The method comprises the steps that a receiving terminal feeds back low-dimensional channel status information obtained through a principal component analytical method to a transmitting terminal in each short cycle; the receiving terminal continues channel estimation, obtains a dimensionality reduction matrix through the principal component analytical method and feeds back the dimensionality reduction matrix to the transmitting terminal in each long cycle; the transmitting terminal receives the dimensionality reduction matrix fed back by the receiving terminal at the beginning of each long cycle, multiplies a transpose of the dimensionality reduction matrix and the low-dimensional channel information and restores high-dimensional status information; the transmitting terminal receives the low-dimensional channel status information fed back by the receiving terminal in each short cycle. By means of the method, the principal component analytical method is adopted to conduct dimensionality reduction treatment on the high-dimensional channel status information with spatial relativity so as to lower the compression ratio; the receiving terminal only needs to feed back corresponding codon serial numbers, so that the burden of the receiving terminal is mitigated; the transmitting terminal only needs to restore the high-dimensional channel status information, so that the processing complexity of the transmitting terminal is lowered.
Owner:WUXI BUPT SENSING TECH & IND ACADEMY +1

Calibration correction for implicit beamforming in a wireless MIMO communication system

A transmitter beamforming technique for use in a MIMO wireless communication system determines a calibration factor and then applies the calibration factor to a transmit beamforming steering matrix developed using implicit beamforming, i.e., using an estimate of a forward channel disposed between a transmitter and a receiver based on a measurement of the reverse channel disposed between the receiver and the transmitter. The beamforming technique first determines descriptions of both the forward and reverse channels, determines an estimate of the forward channel from the description of the reverse channel, determines right singular matrixes which model the forward channel and the estimated forward channel and then develops a calibration factor from the determined right singular matrixes. The beamforming technique then applies the determined calibration factor to a steering matrix which is calculated using a standard implicit beamforming technique, i.e., assuming that the forward channel can be described as the transpose of the reverse channel. The use of this beamforming technique provides superior beamforming results when using implicit beamforming without having to take the necessary steps to determine a description of the actual forward channel each time a new steering matrix is to be calculated.
Owner:NXP USA INC

Matrix transposition method in SAR imaging system based on DSP chip

InactiveCN103412284ASave storage spaceOvercome the disadvantage of taking a lot of time to moveRadio wave reradiation/reflectionRadarAlgorithm
The invention discloses a matrix transposition method in an SAR imaging system based on a DSP chip. The problems that radar real-time imaging storage space is small, and the requirement for real-time performance is high are mainly solved. The implementation process of the matrix transposition method comprises the steps that (1) an original matrix is transversely divided; (2) a rough classification matrix is longitudinally divided; (3) small unit matrixes are obtained; (4) storage space is created; (5) the small unit matrixes are classified; (6) transposition is carried out on the small diagonal unit matrixes; (7) transposition is carried out on the small non-diagonal unit matrixes; (8) the transpositioned matrixes are combined. The matrix transposition method aims at the transposition operation of a large-scale radar return original data matrix, the large matrix is roughly and finely divided into two classes of small unit matrixes, different transposition methods are applied to processing the matrixes, a large amount of storage space is saved, and operation efficiency is improved. The matrix transposition method is simple, easy to implement and suitable for the transposition operation of various radar real-time imaging systems and other systems.
Owner:XIDIAN UNIV
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