DocumentCode
1134910
Title
Approximation of matrices by Gabor multipliers
Author
Feichtinger, Hans G. ; Hampejs, Mario ; Kracher, Günther
Author_Institution
Dept. of Math., Univ. of Vienna, Austria
Volume
11
Issue
11
fYear
2004
Firstpage
883
Lastpage
886
Abstract
We present a fast Fourier transform based algorithm which allows to obtain the best approximation of a given time-variant linear system by approximating its matrix (in the Hilbert-Schmidt sense) by a Gabor multiplier, using a given tight Gabor frame. We illustrate the approach by approximating the inverse of a slowly time variant filter.
Keywords
fast Fourier transforms; matrix algebra; signal processing; time-varying filters; Gabor multiplier; fast Fourier transform; matrix approximation; signal processing; time variant filter; time-variant linear system; Approximation algorithms; Displays; Fast Fourier transforms; Filtering; Fourier transforms; Gabor filters; Helium; Lattices; Linear approximation; Linear systems; FFT; Fast Fourier transform; Gabor multipliers; Gabor transform; matrix approximation; time-variant filtering;
fLanguage
English
Journal_Title
Signal Processing Letters, IEEE
Publisher
ieee
ISSN
1070-9908
Type
jour
DOI
10.1109/LSP.2004.833581
Filename
1343989
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