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Computational Signal Processing with Wavelets

✍ Scribed by Anthony Teolis (auth.)


Publisher
BirkhΓ€user Basel
Year
1996
Tongue
English
Leaves
343
Series
Applied and Numerical Harmonic Analysis
Edition
1
Category
Library

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✦ Synopsis


This unique resource examines the conceptual, computational, and practical aspects of applied signal processing using wavelets. With this book, readers will understand and be able to use the power and utility of new wavelet methods in science and engineering problems and analysis.

The text is written in a clear, accessible style avoiding unnecessary abstractions and details. From a computational perspective, wavelet signal processing algorithms are presented and applied to signal compression, noise suppression, and signal identification. Numerical illustrations of these computational techniques are further provided with interactive software (MATLAB code) that is available on the world wide web.

Topics and Features:

* Continuous wavelet and Gabor transforms
* Frame-based theory of discretization and reconstruction of analog signals is developed
* New and efficient "overcomplete" wavelet transform is introduced and applied
* Numerical illustrations with an object-oriented computational perspective using the Wavelet Signal Processing Workstation (MATLAB code) available

This book is an excellent resource for information and computational tools needed to use wavelets in many types of signal processing problems. Graduates, professionals, and practitioners in engineering, computer science, geophysics, and applied mathematics will benefit from using the book and software tools.

✦ Table of Contents


Front Matter....Pages i-xxiv
Introduction....Pages 1-6
Mathematical Preliminaries....Pages 7-28
Signal Representation and Frames....Pages 29-57
Continuous Wavelet and Gabor Transforms....Pages 59-88
Discrete Wavelet Transform....Pages 89-126
Overcomplete Wavelet Transform....Pages 127-169
Wavelet Signal Processing....Pages 171-261
Object-Oriented Wavelet Analysis with MATLAB 5....Pages 263-312
Back Matter....Pages 313-324

✦ Subjects


Signal, Image and Speech Processing; Communications Engineering, Networks; Computational Mathematics and Numerical Analysis; Computational Science and Engineering; Applications of Mathematics; Fourier Analysis


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