This book is intended to serve as an invaluable reference for anyone concerned with the application of wavelets to signal processing. It has evolved from material used to teach "wavelet signal processing" courses in electrical engineering departments at Massachusetts Institute of Technology and Tel Aviv University, as well as applied mathematics departments at the Courant Institute of New York University and cole

Polytechnique in Paris.

Key Features

* Provides a broad perspective on the principles and applications of transient signal processing with wavelets

* Emphasizes intuitive understanding, while providing the mathematical foundations and description of fast algorithms

* Numerous examples of real applications to noise removal, deconvolution, audio and image compression, singularity and edge detection,

multifractal analysis, and time-varying frequency measurements

* Algorithms and numerical examples are implemented in Wavelab, which is a Matlab toolbox freely available over the Internet

* Content is accessible on several level of complexity, depending on the individual reader's needs

New to the Second Edition

* Optical flow calculation and video compression algorithms

* Image models with bounded variation functions

* Bayes and Minimax theories for signal estimation

* 200 pages rewritten and most illustrations redrawn

* More problems and topics for a graduate course in wavelet signal processing, in engineering and applied mathematics

The new edition of this graduate level textbook and reference on the principles and application of wavelets to signal processing includes updated coverage of optical flow calculation and video compression algorithms, image models with bounded variation functions, and Bayes and Minimax theories for signal estimation, as well as extensive rewriting and new illustrations and problems. Algorithms and numerical examples are implemented in Wavelab, a Matlab toolbox available over the Internet. Intuitive understanding is emphasized while providing the mathematical foundations and descriptions of fast algorithms.
Annotation c. Book News, Inc., Portland, OR (booknews.com)

"Mallat has not only written a treatise, but also an excellent graduate

text for students in computer science, electrical engineering, and

mathematics" John J. Benedetto, SIAM review

ce, electrical engineering, and

mathematics" John J. Benedetto, SIAM review

Matlab toolbox freely available over the Internet.

*Content is accessible on several level of complexity, depending on the individual reader's needs.

*Reviews Fourier analysis and elementary signal processing.

*Introduces windowed Fourier transforms, continuous wavelet transforms, and Wigner-Ville transforms.

*Explains the construction of frames, wavelet orthogonal and biorthogonal bases, wavelet packet and local cosine bases.

*Covers basic approximation theory with applications to signal estimation and transform coding.

ansform coding.

et Bases. Wavelet Packet and Local Cosine Bases. An Approximation Tour. Estimations are Approximations. Transform Coding. Appendix A: Mathematical Complements. Appendix B: Software Toolboxes.