Title :
Hybrid arithmetic-Walsh transform
Author :
Falkowski, Bogdan I. ; Yan, Shixing
Author_Institution :
Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore, Singapore
Abstract :
An idea of a combined arithmetic-Walsh transform is introduced in this article. Recursive relationships between higher and lower matrix orders of hybrid arithmetic-Walsh transform are developed. The new transform has a structure similar to that of the Walsh and Arithmetic transform matrices, so it combines the computational advantages of these two transforms and has similar fast forward and inverse transforms based on recursive Kronecker product equations.
Keywords :
Walsh functions; matrix algebra; transforms; Kronecker product equations; forward transforms; higher matrix orders; hybrid arithmetic-Walsh transform; inverse transforms; lower matrix orders; Arithmetic; Circuit testing; Data communication; Discrete transforms; Equations; Image analysis; Pattern analysis; Performance analysis; Performance evaluation; Speech analysis;
Conference_Titel :
Information, Communications and Signal Processing, 2003 and Fourth Pacific Rim Conference on Multimedia. Proceedings of the 2003 Joint Conference of the Fourth International Conference on
Print_ISBN :
0-7803-8185-8
DOI :
10.1109/ICICS.2003.1292783
