<p><p></p><p>This book provides comprehensive information on the conceptual basis of wavelet theory and it applications. Maintaining an essential balance between mathematical rigour and the practical applications of wavelet theory, the book is closely linked to the wavelet MATLAB toolbox, which is a
Wavelet Theory and Its Applications
โ Scribed by Randy K. Young (auth.)
- Publisher
- Springer US
- Year
- 1993
- Tongue
- English
- Leaves
- 232
- Series
- The Springer International Series in Engineering and Computer Science 189
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
The continuous wavelet transform has deep mathematical roots in the work of Alberto P. Calderon. His seminal paper on complex method of interpolation and intermediate spaces provided the main tool for describing function spaces and their approximation properties. The Calderon identities allow one to give integral representations of many natural operators by using simple pieces of such operators, which are more suited for analysis. These pieces, which are essentially spectral projections, can be chosen in clever ways and have proved to be of tremendous utility in various problems of numerical analysis, multidimensional signal processing, video data compression, and reconstruction of high resolution images and high quality speech. A proliferation of research papers and a couple of books, written in English (there is an earlier book written in French), have emerged on the subject. These books, so far, are written by specialists for specialists, with a heavy mathematical flavor, which is characteristic of the Calderon-Zygmund theory and related research of Duffin-Schaeffer, Daubechies, Grossman, Meyer, Morlet, Chui, and others. Randy Young's monograph is geared more towards practitioners and even non-specialists, who want and, probably, should be cognizant of the exciting proven as well as potential benefits which have either already emerged or are likely to emerge from wavelet theory.
โฆ Table of Contents
Front Matter....Pages i-xiv
Introduction/Background....Pages 1-17
The Wavelet Transform....Pages 19-69
Practical Resolution, Gain, and Processing Structures....Pages 71-122
Wavelet Theory Extensions and Ambiguity Functions....Pages 123-140
Linear Systems Modelling with Wavelet Theory....Pages 141-187
Wideband Scattering and Environmental Imaging....Pages 189-210
Back Matter....Pages 211-223
โฆ Subjects
Circuits and Systems; Signal, Image and Speech Processing; Electrical Engineering; Mathematics, general
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