Adaptive wavelet transforms via lifting

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

doi:10.1109/ICASSP.1998.681737

Adaptive wavelet transforms via lifting

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

Houston Methodist

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

150 Scopus citations

Abstract

This paper develops two new adaptive wavelet transforms based on the lifting scheme. 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 adaptively tune a wavelet transform to a desired signal by optimizing data-based prediction error criteria. The performances of the new transforms are compared to existing wavelet transforms, and applications to signal denoising are investigated.

Original language	English (US)
Title of host publication	Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 1998
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1513-1516
Number of pages	4
ISBN (Print)	0780344286, 9780780344280
DOIs	https://doi.org/10.1109/ICASSP.1998.681737
State	Published - 1998
Event	1998 23rd IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 1998 - Seattle, WA, United States Duration: May 12 1998 → May 15 1998

Publication series

Name	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume	3
ISSN (Print)	1520-6149

Other

Other	1998 23rd IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 1998
Country/Territory	United States
City	Seattle, WA
Period	5/12/98 → 5/15/98

ASJC Scopus subject areas

Software
Signal Processing
Electrical and Electronic Engineering

Access to Document

10.1109/ICASSP.1998.681737

Cite this

Claypoole, R. L., Baraniuk, R. G., & Nowak, R. D. (1998). Adaptive wavelet transforms via lifting. In Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 1998 (pp. 1513-1516). Article 681737 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 3). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICASSP.1998.681737

Adaptive wavelet transforms via lifting. / Claypoole, Roger L.; Baraniuk, Richard G.; Nowak, Robert D.
Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 1998. Institute of Electrical and Electronics Engineers Inc., 1998. p. 1513-1516 681737 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 3).

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

Claypoole, RL, Baraniuk, RG & Nowak, RD 1998, Adaptive wavelet transforms via lifting. in Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 1998., 681737, ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, vol. 3, Institute of Electrical and Electronics Engineers Inc., pp. 1513-1516, 1998 23rd IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 1998, Seattle, WA, United States, 5/12/98. https://doi.org/10.1109/ICASSP.1998.681737

Claypoole RL, Baraniuk RG, Nowak RD. Adaptive wavelet transforms via lifting. In Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 1998. Institute of Electrical and Electronics Engineers Inc. 1998. p. 1513-1516. 681737. (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings). doi: 10.1109/ICASSP.1998.681737

Claypoole, Roger L. ; Baraniuk, Richard G. ; Nowak, Robert D. / Adaptive wavelet transforms via lifting. Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 1998. Institute of Electrical and Electronics Engineers Inc., 1998. pp. 1513-1516 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings).

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author = "Claypoole, {Roger L.} and Baraniuk, {Richard G.} and Nowak, {Robert D.}",

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AB - This paper develops two new adaptive wavelet transforms based on the lifting scheme. 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 adaptively tune a wavelet transform to a desired signal by optimizing data-based prediction error criteria. The performances of the new transforms are compared to existing wavelet transforms, and applications to signal denoising are investigated.

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ER -

Adaptive wavelet transforms via lifting

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