Wavelets and Signal Processing

Provides a digest of the current developments, open questions and unsolved problems likely to determine a new frontier for future advanced study and research in the rapidly growing areas of wavelets, wavelet transforms, signal analysis, and signal and image processing. Key topics include multivariate wavelets, wavelet transforms, time-frequency signal analysis, self-similarity and intermittency problems in turbulence, wavelet image compression, class of band-limited wavelets and multiresolution analysis. An essential text/reference for advanced students and practitioners in wavelets, and wavelet transforms, signal processing and time-frequency signal analysis. Professionals working in electrical and computer engineering, applied mathematics, computer science, biomedical engineering, physics, optics, and fluid mechanics will also find the book a valuable resource.

I Wavelets and Wavelet Transforms.- 1 The Wavelet Transform and Time-Frequency Analysis.- 2 Multiwavelets in ?n with an Arbitrary Dilation Matrix.- 3 On the Nonexistence of Certain Divergence-free Multiwavelets.- 4 Osiris Wavelets and Isis Variables.- 5 Wavelets for Statistical Estimation and Detection.- II Signal Processing and Time-Frequency Signal Analysis 133.- 6 High Performance Time-Frequency Distributions for Practical Applications.- 7 Covariant Time-Frequency Analysis.- 8 Time-Frequency/Time-Scale Reassignment.- 9 Spatial Time-Frequency Distributions: Theory and Applications.- 10 Time-Frequency Processing of Time-Varying Signals with Nonlinear Group Delay.- 11 Self-Similarity and Intermittency.- 12 Selective Thresholding in Wavelet Image Compression.- 13 Coherent Vortex Simulation of Two-and Three-Dimensional Turbulent Flows Using Orthogonal Wavelets.