Title :
Properties and relations for hybrid multi-polarity arithmetic-Walsh transform
Author :
Falkowski, Bogdan J. ; Yan, Shixing
Author_Institution :
Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore
Abstract :
A novel combined multi-polarity arithmetic-Walsh transform is introduced in this paper. Recursive relationships between higher and lower matrix orders of hybrid multi-polarity arithmetic-Walsh transform are developed. The new multi-polarity transform has a structure similar to that of the multi-polarity Walsh and multi-polarity 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; recursive estimation; transforms; arithmetic Walsh transform; arithmetic transform matrix; fast forward transform; hybrid Walsh transform; inverse transform; multipolarity Walsh transform; recursive Kronecker product equations; Arithmetic; Circuit testing; Data communication; Discrete transforms; Equations; Filtering theory; Logic design; OFDM; Performance evaluation; Speech processing;
Conference_Titel :
Circuits and Systems, 2005. 48th Midwest Symposium on
Conference_Location :
Covington, KY
Print_ISBN :
0-7803-9197-7
DOI :
10.1109/MWSCAS.2005.1594168
