A Friendly Guide to Wavelets

• Κύριος συγγραφέας: Kaiser, Gerald (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston : Birkhäuser Boston, 2011.
• Σειρά: Modern Birkhäuser Classics
• Θέματα: Mathematics.; Fourier analysis.; Applied mathematics.; Engineering mathematics.; Physics.; Applications of Mathematics.; Signal, Image and Speech Processing.; Mathematical Methods in Physics.; Fourier Analysis.

 I wholeheartedly recommend this book for a solid and friendly introduction to wavelets, for anyone who is comfortable with the mathematics required of undergraduate electrical engineers. The book's appeal is that it covers all the fundamental concepts of wavelets in an elegant, straightforward way. It offers truly enjoyable (friendly!) mathematical exposition that is rich in intuitive explanations, as well as clean, direct, and clear in its theoretical developments. I found Kaiser's straightforward end-of-chapter exercises excellent...Kaiser has written an excellent introduction to the fundamental concepts of wavelets. For a book of its length and purpose, I think it should be essentially unbeatable for a long time. —Proceedings of the IEEE It is well produced and certainly readable...This material should present no difficulty for fourth-year undergraduates...It also will be useful to advanced workers in that it presents a different approach to wavelet theory from the usual one. —Computing Reviews I found this to be an excellent book. It is eminently more readable than the books...which might be considered the principal alternatives for textbooks on wavelets. —Physics Today This volume is probably the most gentle introduction to wavelet theory on the market. As such, it responds to a significant need. The intended audience will profit from the motivation and common-sense explanations in the text. Ultimately, it may lead many readers, who may not otherwise have been able to do so, to go further into wavelet theory, Fourier analysis, and signal processing. —SIAM Review The first half of the book is appropriately named. It is a well-written, nicely organized exposition...a welcome addition to the literature. The second part of the book introduces the concept of electromagnetic wavelets...This theory promises to have many other applications and could well lead to new ways of studying these topics. This book has a number of unique features which...makes it particularly valuable for newcomers to the field. —Mathematical Reviews The book is indeed what its title promises: A friendly guide to wavelets...In short, Kaiser's book is excellently written and can be considered as one of the best textbooks on this topic presently available...it will enjoy wide distribution among mathematicians and physicists interested in wavelet analysis. —Internationale Mathematische Nachrichten For additional review samples and related material, please visit the author's website at www.wavelets.com. 

 Preface -- Suggestions to the Reader -- Symbols, Conventions, and Transforms -- Part I: Basic Wavelet Analysis. Preliminaries: Background and Notation -- Windowed Fourier Transforms -- Continuous Wavelet Transforms -- Generalized Frames: Key to Analysis and Synthesis -- Discrete Time-Frequency Analysis and Sampling -- Discrete Time-Scale Analysis -- Multiresolution Analysis -- Daubechies’ Orthonormal Wavelet Bases -- Part II: Physical Wavelets -- Introduction to Wavelet Electromagnetics -- Applications to Radar and Scattering -- Wavelet Acoustics -- References -- Index.