Wavelets : a mathematical tool for signal processing /
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| Format: | Book |
| Language: | English |
| Published: |
Philadelphia :
Society for Industrial and Applied Mathematics,
[1997]
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| Series: | SIAM monographs on mathematical modeling and computation.
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| Subjects: | |
| Online Access: | Table of contents Publisher description |
Table of Contents:
- Machine derived contents note: Foreword; Preface; Software; Notation; Chapter 1: What are wavelets? Waveform modeling and segmentation; Time-frequency analysis; Fast algorithms and filter banks; Chapter 2: Time-Frequency Localization. Analog filters; RMS bandwidths; The short-time Fourier transform; The integral wavelet transform; Modeling the cochlea; Chapter 3: Multiresolution Analysis. Signal spaces with finite RMS bandwidth; Two simple mathematical representations; Multiresolution analysis; Cardinal splines; Chapter 4: Orthonormal Wavelets. Orthogonal wavelet spaces; Wavelets of Haar, Shannon, and Meyer; Spline wavelets of Battle?Lemarie; and Strm̲berg; The Daubechies wavelets; Chapter 5: Biorthogonal Wavelets. The need for duals; Compactly supported spline wavelets; The duality principle; Total positivity and optimality of time-frequency windows; Chapter 6: Algorithms. Signal representations; Orthogonal decompositions and reconstructions; Graphical display of signal representations; Multidimensional wavelet transforms; The need for boundary wavelets; Spline functions on a bounded interval; Boundary spline wavelets with arbitrary knots; Chapter 7: Applications. Detection of singularities and feature extraction; Data compression; Numerical solutions of integral equations; Summary and Notes; References; Subject Index.