A fast hybrid Jacket–Hadamard matrix based diagonal block-wise transform

A fast hybrid Jacket-Hadamard matrix based diagonal block-wise transform

In this paper, based on the block (element)-wise inverse Jacket matrix, a unified fast hybrid diagonal block-wise transform (FHDBT) algorithm is proposed. A new fast diagonal block matrix decomposition is made by the matrix product of successively lower order diagonal Jacket matrix and Hadamard matrix. Using a common lower order matrix in the form of 1 1, a fast recursive structure can be devel...

Arikan and Alamouti matrices based on fast block-wise inverse jacket transform

Recently, Lee and Hou (IEEE Signal Process Lett 13: 461-464, 2006) proposed one-dimensional and two-dimensional fast algorithms for block-wise inverse Jacket transforms (BIJTs). Their BIJTs are not real inverse Jacket transforms from mathematical point of view because their inverses do not satisfy the usual condition, i.e., the multiplication of a matrix with its inverse matrix is not equal to ...

Block Wise Data Hiding with Auxilliary Matrix

This paper introduces a novel method based on auxiliary matrix to hide a text data in an RGB plane. To hide the data in RGB planes of image via scanning, encryption and decryption. To enhance the security, the scanning technique combines two different traversals – spiral and snake traversal. The encryption algorithm involves auxiliary matrix as a payload and consider the least significant bits ...

A Numerical Algorithm for Block-diagonal Decomposition of Matrix ∗-algebras

Motivated by recent interest in group-symmetry in the area of semidefinite programming, we propose a numerical method for finding a finest simultaneous block-diagonalization of a finite number of symmetric matrices, or equivalently the irreducible decomposition of the matrix ∗-algebra generated by symmetric matrices. The method does not require any algebraic structure to be known in advance, wh...

A Novel Hybrid Approach for Fast Block Based Motion Estimation