Wavelets and Multiwavelets

Fritz Keinert1584883049, 9781584883043

First appearing in the late 1980s, wavelets have developed rapidly, and their applications now reach from signal processing to numerical analysis, operator theory, and beyond. Among the generalizations of wavelets that have emerged, multiwavelets stand out because of their potential for short support and for their capability of being both symmetric and orthogonal. Some existing wavelet books have a short section covering multiwavelets, but to date, none offer a comprehensive treatment. Pulling together information scattered throughout the literature of mathematics and engineering, Wavelets and Multiwavelets offers a full exposition of wavelet and multiwavelet theory. Maintaining the delicate balance between mathematical rigor and readability, the author presents the theory of classical wavelets and general m-band multiwavelets in parallel. This provides a more coherent approach and yields alternative proofs and new insights even for standard wavelets. MATLAB routines that allow you to implement and experiment with multiwavelet algorithms are available from the CRC Press Web site.