Introduction to Wavelets and Wavelet Transforms: A Primer

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/

<P> <B> </B> This book is the only source available that presents a unified view of the theory and applications of discrete and continuous- time signals. <B> </B> 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. <B> </B> Appropriate for researchers and practitioners in signal processing and applied mathematics. </P>