Ebook: Wavelets and Signal Processing

"The Editor of this volume has performed a commendable job of compiling a set of articles, a majority of which can be branded as excellent, into a single volume, which includes state-of-the-art theoretical results as well as some applications. The book will be useful for researchers as well as practicing professionals, not only because of its contents, but also because of the fact that it provides directions for future developments." —Journal of the Indian Institute of Science

"A mathematically sound and self-contained presentation on recent advances in the highly applicable field of Gabor analysis.… This book is a must for all interested in signal analysis, and, of course, in particular in Gabor analysis." —Monatschefte für Mathematik

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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.

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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.

Content:
Front Matter....Pages i-xxvii
Front Matter....Pages 1-1
The Wavelet Transform and Time-Frequency Analysis....Pages 3-22
Multiwavelets in ? n with an Arbitrary Dilation Matrix....Pages 23-39
On the Nonexistence of Certain Divergence-free Multiwavelets....Pages 41-54
Osiris Wavelets and Isis Variables....Pages 55-102
Wavelets for Statistical Estimation and Detection....Pages 103-131
Front Matter....Pages 133-133
High Performance Time-Frequency Distributions for Practical Applications....Pages 135-175
Covariant Time-Frequency Analysis....Pages 177-231
Time-Frequency/Time-Scale Reassignment....Pages 233-267
Spatial Time-Frequency Distributions: Theory and Applications....Pages 269-310
Time-Frequency Processing of Time-Varying Signals with Nonlinear Group Delay....Pages 311-359
Self-Similarity and Intermittency....Pages 361-375
Selective Thresholding in Wavelet Image Compression....Pages 377-381
Coherent Vortex Simulation of Two- and Three-Dimensional Turbulent Flows Using Orthogonal Wavelets....Pages 383-432
Back Matter....Pages 433-435

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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.

Content:
Front Matter....Pages i-xxvii
Front Matter....Pages 1-1
The Wavelet Transform and Time-Frequency Analysis....Pages 3-22
Multiwavelets in ? n with an Arbitrary Dilation Matrix....Pages 23-39
On the Nonexistence of Certain Divergence-free Multiwavelets....Pages 41-54
Osiris Wavelets and Isis Variables....Pages 55-102
Wavelets for Statistical Estimation and Detection....Pages 103-131
Front Matter....Pages 133-133
High Performance Time-Frequency Distributions for Practical Applications....Pages 135-175
Covariant Time-Frequency Analysis....Pages 177-231
Time-Frequency/Time-Scale Reassignment....Pages 233-267
Spatial Time-Frequency Distributions: Theory and Applications....Pages 269-310
Time-Frequency Processing of Time-Varying Signals with Nonlinear Group Delay....Pages 311-359
Self-Similarity and Intermittency....Pages 361-375
Selective Thresholding in Wavelet Image Compression....Pages 377-381
Coherent Vortex Simulation of Two- and Three-Dimensional Turbulent Flows Using Orthogonal Wavelets....Pages 383-432
Back Matter....Pages 433-435
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