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Computational Signal Processing with Wavelets (Applied and Numerical Harmonic Analysis)
 
 
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Computational Signal Processing with Wavelets (Applied and Numerical Harmonic Analysis) [Hardcover]

Anthony Teolis (Author)
5.0 out of 5 stars  See all reviews (2 customer reviews)

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Book Description

0817639098 978-0817639099 May 15, 1998 1

This unique resource examines the conceptual, computational, and practical aspects of applied signal processing using wavelets.  With this book, readers will understand and be able to use the power and utility of new wavelet methods in science and engineering problems and analysis. 

The text is written in a clear, accessible style avoiding unnecessary abstractions and details.  From a computational perspective, wavelet signal processing algorithms are presented and applied to signal compression, noise suppression, and signal identification.  Numerical illustrations of these computational techniques are further provided with interactive software (MATLAB code) is available on the world wide web. 

Topics and Features:

* Continuous wavelet and Gabor transforms
* Frame-based theory of discretization and reconstruction of analog signals is developed
* New and efficient "overcomplete" wavelet transform is introduced and applied
* Numerical illustrations with an object-oriented computational perspective using the Wavelet Signal Processing Workstation (MATLAB code) available

This book is an excellent resource for information and computational tools needed to use wavelets in many types of signal processing problems.  Graduates, professionals, and practitioners in engineering, computer science, geophysics, and applied mathematics will benefit from using the book and software tools.  


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Editorial Reviews

Review

"This book provides an expository treatment of wavelets from a signal processing perspective. The focus is on the expansion of signals in overcomplete wavelet systems. All illustrations of the theory are generated in the framework of the Matlab toolbox wavelet signal processing workstation (WSPW) made publicly available by the author.... The last chapter is a manual for WSPW, and the whole book serves as an extended manual."   —Mathematical Reviews

"This book provides a bridge between theory and practice of wavelet-based signal processing and is written for both students and professionals. A solid mathematical foundation is given in the beginning chapters [1–6].... Several applications of wavelet-based signal processing including noise suppression, signal compression, signal identification and digital communication are presented in Chapter 7. Chapter 8 gives numerical illustrations and examples of wavelet methods using MATLAB 5. The accomanying MATLAB-based software is available on the world wide web. Every chapter of the book contains a collection of exercises."   —Zentralblatt MATH

"A self-contained text that is theoretically rigorous while maintaining contact with interesting applications. A particularly noteworthy topic…is a class of ‘overcomplete wavelets’. These functions are not orthonormal and they lead to many useful results."   —Journal of Mathematical Psychology

From the Back Cover

This unique resource examines the conceptual, computational, and practical aspects of applied signal processing using wavelets.  With this book, readers will understand and be able to use the power and utility of new wavelet methods in science and engineering problems and analysis. 

The text is written in a clear, accessible style avoiding unnecessary abstractions and details.  From a computational perspective, wavelet signal processing algorithms are presented and applied to signal compression, noise suppression, and signal identification.  Numerical illustrations of these computational techniques are further provided with interactive software (MATLAB code) that is available on the world wide web. 

Topics and Features:

* Continuous wavelet and Gabor transforms
* Frame-based theory of discretization and reconstruction of analog signals is developed
* New and efficient "overcomplete" wavelet transform is introduced and applied
* Numerical illustrations with an object-oriented computational perspective using the Wavelet Signal Processing Workstation (MATLAB code) available

This book is an excellent resource for information and computational tools needed to use wavelets in many types of signal processing problems.  Graduates, professionals, and practitioners in engineering, computer science, geophysics, and applied mathematics will benefit from using the book and software tools.  


Product Details

  • Hardcover: 352 pages
  • Publisher: Birkhäuser Boston; 1 edition (May 15, 1998)
  • Language: English
  • ISBN-10: 0817639098
  • ISBN-13: 978-0817639099
  • Product Dimensions: 9.4 x 6 x 0.8 inches
  • Shipping Weight: 1.4 pounds (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #1,885,208 in Books (See Top 100 in Books)

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Average Customer Review
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30 of 37 people found the following review helpful:
5.0 out of 5 stars This book is well thought out and "clear" in explanations., January 13, 1999
By A Customer
This review is from: Computational Signal Processing with Wavelets (Applied and Numerical Harmonic Analysis) (Hardcover)
First let me say this is an excellent book for a graduate class about Wavelets! As a Doctoral Student I have limited funds, but this book I had to purchase, and did. I've used Wickerhauser, Strang & Nguyen, Cohen, and other texts for my references but yours is well thought out and "clear". The chapter about Over Complete Wavelets and the Matlab GUI makes this a complete guide to wavelets.
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3 of 4 people found the following review helpful:
5.0 out of 5 stars good book with programming, March 11, 2002
This review is from: Computational Signal Processing with Wavelets (Applied and Numerical Harmonic Analysis) (Hardcover)
as i feel this book covers the fundamentals needed for
proper understanding of wavelets. then it clearely brings
out the topics such as mra, filter bank approaches along
with matlab programs using which one can actually generate
and feel the wavelet concept. in this way the book creates
interest in the reader. Along with this one can also
use wavelets by gopinath and barrus or by goswami.
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Inside This Book (learn more)
First Sentence:
Although the theory of wavelet analysis is a relatively new and still evolving discipline, there is a deep and sophisticated body of work currently available. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
discrete sampling set, wavelet transform magnitude, group representation transform, signal upshifted, best frame bounds, overcomplete wavelet transform, wavelet object, nonexact frame, discrete sample set, wavelet atoms, center test cell, computing cwt, harmonic complex exponentials, wavelet modulation, trial avg, overcomplete wavelet representations, classical sampling theorem, finite energy sequences, magnitude wavelet transform, relative threshold values, dyadic lattice, packet signals, wavelet design, atomic set, filter bank implementation
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Parameter Symbol Values, Dilation Const, Filters High Pass
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