DocumentCode
1537593
Title
Family of unified complex Hadamard transforms
Author
Rahardja, Susanto ; Falkowski, Bogdan J.
Author_Institution
Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore
Volume
46
Issue
8
fYear
1999
fDate
8/1/1999 12:00:00 AM
Firstpage
1094
Lastpage
1100
Abstract
Novel discrete orthogonal transforms are introduced in this paper, namely the unified complex Hadamard transforms. These transforms have elements confined to four elementary complex integer numbers which are generated based on the Walsh-Hadamard transform, using a single unifying mathematical formula. The generation of higher dimension transformation matrices is discussed in detail
Keywords
Hadamard transforms; Walsh functions; discrete transforms; signal processing; Walsh-Hadamard transform; discrete orthogonal transforms; elementary complex integer numbers; higher dimension transformation matrices; single unifying mathematical formula; unified complex Hadamard transforms; Boolean functions; Digital signal processing; Discrete transforms; Error correction; Error correction codes; Geometry; Logic design; Polynomials; Signal processing; Signal processing algorithms;
fLanguage
English
Journal_Title
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
Publisher
ieee
ISSN
1057-7130
Type
jour
DOI
10.1109/82.782059
Filename
782059
Link To Document