Wavelets. A Tutorial in Theory and Applications

Content: 
Wavelet Analysis and Its Applications, Page ii
Front Matter, Page iii
Copyright, Page iv
Preface, Pages vii-x
Daubechies' xfScaling Function on [0, 3], Pages 3-13
Wavelet Matrices and the Representation of Discrete Functions, Pages 15-50
Wavelets and Generalized Functions, Pages 51-70
Cardinal Spline Interpolation and the Block Spin Construction of Wavelets, Pages 73-90
Polynomial Splines and Wavelets-A Signal Processing Perspective, Pages 91-122
Biorthogonal Wavelets, Pages 123-152
Nonorthogonal Multiresolution Analysis Using Wavelets, Pages 153-178
Wavelets and Other Bases for Fast Numerical Linear Algebra, Pages 181-216
Wavelets with Boundary Conditions on the Interval, Pages 217-236
Local Sine and Cosine Bases of Coifman and Meyer and the Construction of Smooth Wavelets, Pages 237-256
Some Elementary Properties of Multiresolution Analyses of L2(Rn), Pages 259-294
Multidimensional Two–Scale Dilation Equations, Pages 295-323
Multivariate Wavelets, Pages 325-355
Gabor Wavelets and the Heisenberg Group: Gabor Expansions and Short Time Fourier Transform from the Group Theoretical Point of View, Pages 359-397
Windowed Radon Transforms, Analytic Signals, and the Wave Equation, Pages 399-441
Irregular Sampling and Frames, Pages 445-507
Families of Wavelet Transforms in Connection with Shannon's Sampling Theory and the Gabor Transform, Pages 509-528
Wavelets in H2(R): Sampling, Interpolation, and Phase Space Density, Pages 529-540
Orthonormal Wavelets, Analysis of Operators, and Applications to Numerical Analysis, Pages 543-601
Wavelet Transforms and Filter Banks, Pages 603-654
Second Generation Compact Image Coding with Wavelets, Pages 655-678
Acoustic Signal Compression with Wavelet Packets, Pages 679-700
Bibliography, Pages 701-713
Subject Index, Pages 715,717-723
WAVELET ANALYSIS AND ITS APPLICATIONS, Page 725