DocumentCode
3251957
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
fYear
2005
fDate
7-10 Aug. 2005
Firstpage
583
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 2005. 48th Midwest Symposium on
Conference_Location
Covington, KY
Print_ISBN
0-7803-9197-7
Type
conf
DOI
10.1109/MWSCAS.2005.1594168
Filename
1594168
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