Modern signal Processing

Signal processing is everywhere in modern technology. Its mathematical basis and many areas of application are the subject of this 2004 book, based on a series of graduate-level lectures held at the Mathematical Sciences Research Institute. Emphasis is on challenges in the subject, particular techniques adapted to particular technologies, and certain advances in algorithms and theory. The book covers two main areas: computational harmonic analysis, envisioned as a technology for efficiently analysing real data using inherent symmetries; and the challenges inherent in the acquisition, processing and analysis of images and sensing data in general [EMDASH] ranging from sonar on a submarine to a neuroscientist's fMRI study.

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A Wavelet tour of signal processing

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 École 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

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