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].