Wavelets and Wavelet Transforms: An Introduction (English Edition): Classic Original Book Collection ((English Edition))

Author: C. Sidney Burrus
Publisher:
Publish Date: 2005-04-01
Features: This book features: based on Fourier methods, gradually developed into more general methods; integrates content related to wavelet transforms from mathematical and signal processing literature; explains methods for signal expansion and filter banks; includes new extensions of basic wavelet systems, including M-band wavelets, biorthogonal systems, wavelet packets, and multiresolution; presents applications of wavelet transforms using approximate fast Fourier transform algorithms with Nth-order algorithm complexity; provides additional guides to other wavelet literature; appendices contain Matlab programs. This book elaborates on how wavelets are used as analytical tools in information processing, numerical analysis, and mathematical modeling. The book represents signals as expansions in bases and frames, utilizing filter banks for algorithmic descriptions. This unified perspective addresses the shortcomings in existing wavelet literature. The book offers new insights into classic information processing problems, particularly emphasizing signal compression from an application-oriented perspective, involving the latest research findings. It can serve as a textbook for advanced undergraduate and graduate students, suitable for majors in information processing, radio communication, computer science, and applied mathematics, as well as for researchers and professionals in related fields.