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Artículo: AMZ-0134896009
Introduction to Wavelets and Wavelet Transforms: A Primer
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Paperback
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0.48 kg
0.48 kg
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- Advanced undergraduate and beginning graduate students, faculty, researchers and practitioners in signal processing, telecommunications, and computer science, and applied mathematics. It assumes a background of Fourier series and transforms and of linear algebra and matrix methods.This primer presents a well balanced blend of the mathematical theory underlying wavelet techniques and a discussion that gives insight into why wavelets are successful in signal analysis, compression, dection, numerical analysis, and a wide variety of other theoretical and practical applications. It fills a gap in the existing wavelet literature with its unified view of expansions of signals into bases and frames, as well as the use of filter banks as descriptions and algorithms.
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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/
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