A subband adaptive iterative shrinkage/thresholding algorithm

Ilker Bayram, Ivan Selesnick

Research output: Contribution to journalArticle

Abstract

We investigate a subband adaptive version of the popular iterative shrinkage/thresholding algorithm that takes different update steps and thresholds for each subband. In particular, we provide a condition that ensures convergence and discuss why making the algorithm subband adaptive accelerates the convergence. We also give an algorithm to select appropriate update steps and thresholds for when the distortion operator is linear and time invariant. The results in this paper may be regarded as extensions of the recent work by Vonesch and Unser.

Original languageEnglish (US)
Pages (from-to)1131-1143
Number of pages13
JournalIEEE Transactions on Signal Processing
Volume58
Issue number3 PART 1
DOIs
StatePublished - Mar 2010

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Adaptive algorithms

Keywords

  • Deconvolution
  • Fast algorithm
  • Shrinkage
  • Subband adaptive
  • Thresholding
  • Wavelet regularized inverse problem

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Signal Processing

Cite this

A subband adaptive iterative shrinkage/thresholding algorithm. / Bayram, Ilker; Selesnick, Ivan.

In: IEEE Transactions on Signal Processing, Vol. 58, No. 3 PART 1, 03.2010, p. 1131-1143.

Research output: Contribution to journalArticle

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