DocumentCode
1334179
Title
On unitary transform approximations
Author
De Queiroz, Ricardo L.
Author_Institution
Xerox Webster Res. Center, NY, USA
Volume
5
Issue
2
fYear
1998
Firstpage
46
Lastpage
47
Abstract
In this letter, we present a method to find a unitary transform which is the closest to a given square transform matrix in the sense of minimizing the variance of the output error (discrepancy) for given signal statistics. An extension of the result to frequency responses of filterbank transfer matrices is also given along with an example to demonstrate the feasibility of the method.
Keywords
approximation theory; filtering theory; frequency response; matrix algebra; minimisation; signal processing; transforms; filterbank transfer matrices; frequency responses; output error variance minimization; signal statistics; square transform matrix; unitary transform approximations; Adaptive filters; Autocorrelation; Costs; Error analysis; Filter bank; Frequency; Image coding; Matrix decomposition; Singular value decomposition; Statistics;
fLanguage
English
Journal_Title
Signal Processing Letters, IEEE
Publisher
ieee
ISSN
1070-9908
Type
jour
DOI
10.1109/97.659548
Filename
659548
Link To Document