Lifting construction of non-linear wavelet transforms

Roger L. Claypoole; Richard G. Baraniuk; Robert D. Nowak

Lifting construction of non-linear wavelet transforms

Roger L. Claypoole, Richard G. Baraniuk, Robert D. Nowak

Houston Methodist

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

11 Scopus citations

Abstract

This paper analyzes non-linear wavelet transforms using the lifting construction. The lifting construction exploits a spatial-domain, prediction-error interpretation of the wavelet transform and provides a powerful framework for designing customized transforms. We use the lifting construction to better understand the performance of wavelet transforms that utilize median and Volterra filters.

Original language	English
Title of host publication	Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis
Place of Publication	Piscataway, NJ, United States
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	49-52
Number of pages	4
State	Published - Jan 1 1998
Event	Proceedings of the 1998 IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis - Pittsburgh, PA, USA Duration: Oct 6 1998 → Oct 9 1998

Other

Other	Proceedings of the 1998 IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis
City	Pittsburgh, PA, USA
Period	10/6/98 → 10/9/98

ASJC Scopus subject areas

General Engineering

Cite this

Lifting construction of non-linear wavelet transforms. / Claypoole, Roger L.; Baraniuk, Richard G.; Nowak, Robert D.
Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis. Piscataway, NJ, United States: Institute of Electrical and Electronics Engineers Inc., 1998. p. 49-52.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Claypoole, RL, Baraniuk, RG & Nowak, RD 1998, Lifting construction of non-linear wavelet transforms. in Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis. Institute of Electrical and Electronics Engineers Inc., Piscataway, NJ, United States, pp. 49-52, Proceedings of the 1998 IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis, Pittsburgh, PA, USA, 10/6/98.

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AB - This paper analyzes non-linear wavelet transforms using the lifting construction. The lifting construction exploits a spatial-domain, prediction-error interpretation of the wavelet transform and provides a powerful framework for designing customized transforms. We use the lifting construction to better understand the performance of wavelet transforms that utilize median and Volterra filters.

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Lifting construction of non-linear wavelet transforms

Abstract

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ASJC Scopus subject areas

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