Title :
Lifting construction of non-linear wavelet transforms
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 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
Keywords :
median filters; prediction theory; signal representation; wavelet transforms; Volterra filters; customized transforms; lifting construction; median filters; nonlinear wavelet transforms; performance; spatial-domain prediction-error interpretation; Discrete wavelet transforms; Filter bank; Low pass filters; Polynomials; Power engineering and energy; Power engineering computing; Wavelet analysis; Wavelet coefficients; Wavelet domain; Wavelet transforms;
Conference_Titel :
Time-Frequency and Time-Scale Analysis, 1998. Proceedings of the IEEE-SP International Symposium on
Conference_Location :
Pittsburgh, PA
Print_ISBN :
0-7803-5073-1
DOI :
10.1109/TFSA.1998.721358
