DocumentCode
1554132
Title
Convergence of an iterative time-variant filtering based on discrete Gabor transform
Author
Xia, Xiang-Gen ; Qian, Shie
Author_Institution
Dept. of Electr. & Comput. Eng., Delaware Univ., Newark, DE, USA
Volume
47
Issue
10
fYear
1999
fDate
10/1/1999 12:00:00 AM
Firstpage
2894
Lastpage
2899
Abstract
An iterative time-variant filtering based on the discrete Gabor transform (DGT) has been previously proposed by the authors. In this article, we present a proof of the convergence of the iterative algorithm under a sufficient condition on the analysis and synthesis window functions of the DGT. In the meantime, we show that the iterative algorithm refines the least squares solution
Keywords
convergence of numerical methods; discrete transforms; filtering theory; iterative methods; least squares approximations; time-frequency analysis; time-varying filters; analysis window function; convergence; discrete Gabor transform; iterative algorithm; iterative time-variant filtering; least squares solution; sufficient condition; synthesis window function; time-frequency analysis; Convergence; Discrete transforms; Filtering; Fourier transforms; Gabor filters; Iterative algorithms; Least squares methods; Nonlinear filters; Signal analysis; Signal synthesis;
fLanguage
English
Journal_Title
Signal Processing, IEEE Transactions on
Publisher
ieee
ISSN
1053-587X
Type
jour
DOI
10.1109/78.790674
Filename
790674
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