Analysis of wavelet-domain Wiener filters

Hyeokho Choi, Richard Baraniuk

Research output: Chapter in Book/Report/Conference proceedingConference contribution

46 Scopus citations

Abstract

We investigate Wiener filtering of wavelet coefficients for signal denoising. Empirically designed wavelet-domain Wiener filters outperform many other denoising algorithms based on wavelet thresholding. However, up to now, it has not been clear how to choose the signal model used to design the filter, because the effect of model selection on the filter performance is difficult to understand. By analyzing the error involved in the Wiener filter designed with an empirically obtained signal model, we show that hard thresholding is typically outperformed by a Wiener filter designed in an alternate wavelet domain. Our analysis furthermore provides a method for selecting the various parameters involved in a wavelet-domain Wiener filtering scheme.

Original languageEnglish
Title of host publicationProceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis
Place of PublicationPiscataway, NJ, United States
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages613-615
Number of pages3
StatePublished - Jan 1 1998
EventProceedings of the 1998 IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis - Pittsburgh, PA, USA
Duration: Oct 6 1998Oct 9 1998

Other

OtherProceedings of the 1998 IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis
CityPittsburgh, PA, USA
Period10/6/9810/9/98

ASJC Scopus subject areas

  • Engineering(all)

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