Wavelet Packets

Abstract

A simple but powerful extension of wavelets and multiresolution analysis is wavelet packets, pioneered by Coifman, Meyer, Wickerhauser, and other researchers (Coifman et al. Signal processing and compression with wavelet packets, 1990, [74], Coifman, Meyer, Orthonormal wavelet packet basis, 1990, [75], Coifman et al. Wavelets and their applications, Jones and Bartlett Publishers, Boston, pp. 453–470, 1992, [78], Wickerhauser, Adapted waveform analysis from theory to software, 1994, [293]). The wavelet transform is generalized to produce a library of orthonormal basis of modulated wavelet packets, where each basis comes with a fast transform.