Title :
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
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;
Conference_Titel :
Acoustics, Speech and Signal Processing, 1998. Proceedings of the 1998 IEEE International Conference on
Conference_Location :
Seattle, WA
Print_ISBN :
0-7803-4428-6
DOI :
10.1109/ICASSP.1998.681737
