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Introduction to Wavelets and Wavelet Transforms: A Primer

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Introduction to Wavelets and Wavelet Transforms: A Primer

Uses a mathematical as well as a signal processing viewpoint to give an accurate picture of what can be done and what cannot.
Develops an insight and intuition that is more general and versatile than that based only on Fourier methods.
Uses a language that is a mixture of that from the mathematical and the signal processing literature.
Develops both the signal expansion and the filter bank approaches.
Contains an impressive array of new and exciting generalizations of the basic wavelet system (many which have only been in journals, conference proceedings, and on websites) including M-band wavelets, biorthogonal systems, wavelet packets, and multiwavelets.
Gives an example application of wavelets to an approximate FFT algorithm that has order-N arithmetic complexity.
Contains an extensive guide to other wavelet literature.
Contains MATLAB programs in the appendix of the book and at the author's web page at: http://www-dsp.rice.edu/

This book is the only source available that presents a unified view of the theory and applications of discrete and continuous- time signals. This is the only book to present the mathematical point of view, as well as the discrete-time signal processing perspective. It brings together information previously available only in research papers, in engineering and applied mathematics. Appropriate for researchers and practitioners in signal processing and applied mathematics.