circulant matrix


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circulant matrix

[′sər·kyə·lənt ′mā‚triks]
(mathematics)
A matrix in which the elements of each row are those of the previous row moved one place to the right.
References in periodicals archive ?
It represents that the ridge regression principle and circulant matrix can be effectively used to kernelize the correlation filters.
r,t] can be expressed as an N x N circulant matrix with the main diagonal value equal to [h.
A circulant matrix is a Toeplitz matrix with the additional property [t.
Notions of continuity, differentiability and integrability of a circulant matrix function [G.
the sum of circulant matrices of the s ame type is a circulant matrix of the same type,
If channel matrix H is circulant matrix [[7]], then D is diagonal, because from (8) follows eigendecomposition of matrix H
Periodic boundary conditions imply that the image repeats itself endlessly in all directions; periodic boundary conditions imply that H is a block circulant matrix with circulant blocks (BCCB).
We observe that the adjacency matrix of the Knodel graphs is a (-1) circulant matrix, called also a retrocirculant [1], where all the rows are circular permutations of the first row toward left.
A circulant matrix of dimension at least 2N x 2N is constructed, which contains the Toeplitz matrix as its first N x N block.
8] utilize the circulant matrix produced by a base image patch to design a kernelized correlation filter(KCF), which achieves a better performance.
In can be seen easily from the above definition that the circulant matrix {[R.
n]) which yields a circulant matrix that can be diagonalized by the discrete Fourier transform (DFT) [20].