Wavelet transforms and time frequency signal analysis

by Lokenath Debnath

The last fifteen years have produced major advances in the mathematical theory of wavelet transforms and their applications to science and engineering In an effort to inform researchers in mathematics physics statistics computer science and engineering and to stimulate furtherresearch an NSF CBMS Research Conference on Wavelet Analysis was organized at the University of Central Florida in May 1998 Many distinguished mathematicians and scientists from allover the world participated in the conference and provided a digest of recent developments open questions and unsolved problems in this rapidly growing and important field As a follow up project this monograph was developed from manuscripts sub mitted by renowned mathematicians and scientists who have made important contributions to the subject of wavelets wavelet transforms and time frequency signal analysis This publication brings together current developments in the theory and applications of wavelet transforms and in the field of time frequency signal analysis that are likely to determine fruitful directions for future advanced study and research The last two decades have produced tremendous developments in the mathematical theory of wavelets and their great variety of applications in science and engineering Wavelets allow complex information such as music speech images and patterns to be decomposed into an elementary form called building blocks at different positions and scales The information is reconstructed with high precision In an effort to acquaint researchers in applied mathematics physics statistics computer science and engineering and to stimulate further research a regional research convergence was organized at the University of Central Florida in May 1998 Many distinguished applied mathematicians and engineering scientists participated in the conference and presented a digest of recent developments open questions and unsolved problems in this rapidly growing and importa

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