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319 results about "Orthogonal matrix" patented technology

An orthogonal matrix is a square matrix whose columns and rows are orthogonal unit vectors (i.e., orthonormal vectors), i.e. QᵀQ=QQᵀ=I, where I is the identity matrix. This leads to the equivalent characterization: a matrix Q is orthogonal if its transpose is equal to its inverse: Qᵀ=Q⁻¹. An orthogonal matrix Q is necessarily invertible (with inverse Q⁻¹ = Qᵀ), unitary (Q⁻¹ = Q∗) and therefore normal (Q∗Q = QQ∗) in the reals.

Local spline embedding-based orthogonal semi-monitoring subspace image classification method

InactiveCN101916376APreserve the eigenstructure of the manifold spaceAvoid difficultiesCharacter and pattern recognitionHat matrixData set
The invention discloses a local spline embedding-based orthogonal semi-monitoring subspace image classification method. The method comprises the following steps of: 1) selecting n samples serving as training sets and the balance serving as testing sets from image data sets, wherein the training sets comprise marked data and unmarked data; 2) building an extra-class divergence matrix and an intra-class divergence matrix by using the marked data; (3) training data characteristic space distribution by using a whole and building a Laplacian matrix in a local spline embedding mode; 4) according to a local spline, embedding an orthogonal semi-monitoring subspace model, and searching a projection matrix to perform dimensionality reduction on the original high dimension characteristic; 5) building a classifier for the training samples after the dimensionality reduction by using a support vector machine; and 6) performing the dimensionality reduction on the testing sets by using the projection matrix and classifying the testing sets after the dimensionality reduction by using the classifier. In the method, the information, such as image sample marking, characteristic space distribution and the like, is fully utilized; potential semantic relevance among image data can be found out; and image semantics can be analyzed and expressed better.
Owner:ZHEJIANG UNIV

Low-computational-complexity equalization method for an orthogonal time-frequency air conditioning system

The invention discloses an orthogonal time-frequency space OTFS modulation equalization method with low computational complexity, which is a method for equalizing interference between two-dimensionalcodes of an orthogonal time-frequency air conditioner under a time-frequency double-selection channel based on iterative parallel interference elimination of a linear minimum mean square error. The method can effectively utilize the covariance matrix of the reconstructed symbol to alleviate the influence of the interference between the residual two-dimensional codes on the OTFS system performance,so that the time-frequency two-dimensional gain can be better utilized, and the system reliability can be improved; time-frequency two-dimensional decomposition and octyl Fourier transform are adopted to carry out first-order Newman series approximation on the inverse matrix in LMMSE-PIC, so that the calculation complexity of the equalization method is reduced, and the equalization method only has a directrix relation with the total number of transmission symbols and is irrelevant to the channel sparsity, so that the system effectiveness is improved. The orthogonal time-frequency air conditioning system has the advantages that the time-frequency two-dimensional diversity gain of the orthogonal time-frequency air conditioning system can be remarkably improved under the time-frequency double-selection channel, the receiver performance of the non-ideal channel decoder during feedback is improved, and the popularization and application prospect is good.
Owner:BEIJING UNIV OF POSTS & TELECOMM

BD (block diagonalization) pre-coding method and device

The invention discloses a BD (block diagonalization) pre-coding method and device, wherein the method comprises the following steps: determining a total user channel matrix Hs according to a downlink channel matrix of each user in a system; carrying out QR factorization on a conjugate transpose matrix of the total user channel matrix Hs to obtain a product of an orthogonal matrix Q and an upper triangular matrix R, and expressing the total user channel matrix Hs as the product of a lower triangular matrix L and a conjugate transpose matrix QH of the orthogonal matrix Q; carrying out inverse calculation on the lower triangular matrix L to obtain L-1; according to the inversed L-1 of the lower triangular matrix L and the orthogonal matrix Q, obtaining a null space orthogonal basis of an interference channel matrix of each user; according to the null space orthogonal basis of the interference channel matrix of each user, constructing a linear pre-coding matrix of each user; and carrying out linear pre-coding on a transmitting signal of each user by utilizing the constructed linear pre-coding matrix. The technical scheme disclosed by the invention can reduce the system complexity and improve the coding efficiency.
Owner:UNIV OF ELECTRONICS SCI & TECH OF CHINA
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