Wavelets and Other Orthogonal Systems with Applications [Hardcover]

Gilbert G. Walter (Author)

Book Description

Publication Date: July 13, 1994 | ISBN-10: 0849378788 | ISBN-13: 978-0849378782

This book makes accessible to both mathematicians and engineers important elements of the theory, construction, and application of orthogonal wavelets. It is integrated with more traditional orthogonal series, such as Fourier series and orthogonal polynomials. It treats the interaction of both with generalized functions (delta functions), which have played an important part in engineering theory but whose rules are often vaguely presented. Unlike most other books that are excessively technical, this text/reference presents the basic concepts and examples in a readable form. Much of the material on wavelets has not appeared previously in book form. Applications to statistics, sampling theorems, and stochastic processes are given. In particular, the close affinity between wavelets and sampling theorems is explained and developed.

Editorial Reviews

About the Author

Walter; Gilbert G. University of Wisconsin, Milwaukee, Wisconsin, USA,

Product Details

• Hardcover: 272 pages
• Publisher: CRC Press (July 13, 1994)
• Language: English
• ISBN-10: 0849378788
• ISBN-13: 978-0849378782
• Product Dimensions: 9.7 x 6.2 x 0.8 inches
• Shipping Weight: 1.3 pounds
• Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
• Amazon Best Sellers Rank: #3,565,478 in Books (See Top 100 in Books)

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Most Helpful Customer Reviews

2 of 2 people found the following review helpful:

5.0 out of 5 stars Well motivated!, March 1, 2003

By 

Palle E T Jorgensen "Palle Jorgensen" (Iowa City, Iowa United States) - See all my reviews
(VINE VOICE)    (REAL NAME)   

This review is from: Wavelets and Other Orthogonal Systems, Second Edition (Studies in Advanced Mathematics) (Hardcover)

The last ten years witnessed quite a few new books on wavelts, but it is an active subject, and it branches out in many
directions. The present book is a second edition[the frst from 1994]. The new one is updated, and has more applications; great
for engineers and others who use wavelets. The thesis in the book is to present wavelts on the same footing as other orthogonal systems, Fourier bases, Legendre and Hermite polynomials ... This gives much more unity to both classical subjects in transform theory, and the new wavelet tools. And the authors do a very nice job of presenting this, even accessible to the novice...To me, the chapters on the Haar systems, Shannon's theory, and stochastic processes, the Karhunen-Loeve
setting, are done really nicely. Highly recommended!