Convergence of an iterative time-variant filtering based on discrete Gabor transform

Xiang Gen Xia; Shie Qian

doi:10.1109/78.790674

Convergence of an iterative time-variant filtering based on discrete Gabor transform

Xiang Gen Xia, Shie Qian

Research output: Contribution to journal › Article › peer-review

30 Citations (Scopus)

Abstract

An iterative time-variant filtering based on the discrete Gabor transform (DGT) has been recently proposed by the authors. In this correspondence, 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.

Original language	English
Pages (from-to)	2894-2899
Number of pages	6
Journal	IEEE Transactions on Signal Processing
Volume	47
Issue number	10
DOIs	https://doi.org/10.1109/78.790674
Publication status	Published - 1999
Externally published	Yes

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abstract = "An iterative time-variant filtering based on the discrete Gabor transform (DGT) has been recently proposed by the authors. In this correspondence, 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.",

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Convergence of an iterative time-variant filtering based on discrete Gabor transform

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