Adaptive wavelet transforms via lifting

Author

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

Author_Institution

Dept. of Electr. & Comput. Eng., Rice Univ., Houston, TX, USA

Volume

3

fYear

1998

fDate

12-15 May 1998

Firstpage

1513

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

Keywords

adaptive signal processing; error analysis; prediction theory; wavelet transforms; adaptive wavelet transforms; customized transforms design; data-based prediction error criteria; lifting; performance; prediction-error; signal denoising; spatial-domain; Discrete wavelet transforms; Filter bank; Polynomials; Power engineering and energy; Power engineering computing; Signal denoising; Signal resolution; Wavelet coefficients; Wavelet domain; Wavelet transforms;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech and Signal Processing, 1998. Proceedings of the 1998 IEEE International Conference on

Conference_Location

Seattle, WA

ISSN

1520-6149

Print_ISBN

0-7803-4428-6

Type

conf

DOI

10.1109/ICASSP.1998.681737

Filename

681737