Lokenath Debnath

Wavelet Transforms and Their Applications (eBook, PDF)

• Format: PDF

Produktbeschreibung

This book is ideal as a standard text in wavelets, wavelet transforms, time-frequency signal analysis, signal and image processing. It will also serve as a reference book for college and university libraries. Mathematicians, physicists, computer engineers, electrical and mechanical engineers, computer scientists, and biomedical engineers will find this is an exceptionally complete and accessible text/reference. It is also suitable as a self-study/reference guide for practitioners and professionals.

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Produktdetails

• Verlag: Birkhäuser Boston
• Seitenzahl: 565
• Erscheinungstermin: 28. Juni 2011
• Englisch
• ISBN-13: 9781461200970
• Artikelnr.: 44194747

Autorenporträt

Lokenath Debnath, Ph.D., is a Professor of Mathematics at The University of Texas-Pan American. He received his Ph.D. in Applied Mathematics from the University of London, and a Ph.D. in Pure Mathematics from the University of Calcutta.  His areas of interest are applied mathematics, applied partial differential equations, integral transforms, fluid dynamics, and continuum mechanics. Firdous Ahmad Shah, Ph.D., is an Assistant Professor in the Post Graduate Department of Mathematics at the University of Kashmir.  His areas of specialization are: wavelets, wavelet packets, applications of wavelets in financial time series, and wavelet neural networks.

Inhaltsangabe

Brief Historical Introduction.- Hilbert Spaces and Orthonormal Systems.- Fourier Transformations and Their Applictions.- The Gabor Transform and Time-Frequency Signal Analysis.- The Wigner-Ville Distribution and Time-Frequency Signal Analysis.- The Wavelet Transforms and Their Basic Properties.- Multiresolution Analysis and Construction of Wavelets.- Extensions of Multiresolution Analysis.- Newland's Harmonic Wavelets.- Wavelet Transform Analysis of Turbulence.

Rezensionen

"It can be seen as a reference text or as a study book, complete with definitions, theorems, proofs and exercises. ... The book is an up to date reference work on univariate Fourier and wavelet analysis including recent developments in multiresolution, wavelet analysis, and applications in turbulence. The systematic construction of the chapters with extensive lists of exercises make it also very suitable for teaching." (Adhemar Bultheel, euro-math-soc.eu, February, 2015)

"The book is primarily aimed at advanced undergraduates and graduate students across all of applied mathematics. It is a good source of information for all professionals interested in wavelet transforms and their applications." (Yuri A. Farkov, zbMATH 1308.42030, 2015)