Title :
Block-diagonal structure of Walsh-Hadamard/discrete cosine transform
Author :
HSU, CHAU-YUN ; WU, JA-LING
Author_Institution :
Tatung Institute of Technology, Department of Electrical Engineering, Taipei, Republic of China
Abstract :
The A-matrix, the conversion matrix for Walsh-Hadamard/discrete cosine transform, is known for its efficient block-diagonal structure. This associates with the even/odd structure of the transform kernels. In the letter we present a direct matrix derivation by using the intrinsic properties of the discrete cosine transform and the Walsh-Hadamard transform.
Keywords :
signal processing; transforms; A-matrix; Walsh-Hadamard transforms; block-diagonal structure; conversion matrix; discrete cosine transform; transform kernels;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19870783