An Introduction to Wavelets, Volume 1 (Wavelet Analysis and Its Applications) [Hardcover]

Charles K. Chui (Author)

Book Description

ISBN-10: 0121745848 | ISBN-13: 978-0121745844 | Publication Date: January 17, 1992 | Edition: 1

An Introduction to Wavelets is the first volume in a new series, WAVELET ANALYSIS AND ITS APPLICATIONS. This is an introductory treatise on wavelet analysis, with an emphasis on spline wavelets and time-frequency analysis. Among the basic topics covered in this book are time-frequency localization, integral wavelet transforms, dyadic wavelets, frames, spline-wavelets, orthonormal wavelet bases, and wavelet packets. In addition, the author presents a unified treatment of nonorthogonal, semiorthogonal, and orthogonal wavelets. This monograph is self-contained, the only prerequisite being a basic knowledge of function theory and real analysis. It is suitable as a textbook for a beginning course on wavelet analysis and is directed toward both mathematicians and engineers who wish to learn about the subject. Specialists may use this volume as a valuable supplementary reading to the vast literature that has already emerged in this field.

Key Features
* This is an introductory treatise on wavelet analysis, with an emphasis on spline-wavelets and time-frequency analysis
* This monograph is self-contained, the only prerequisite being a basic knowledge of function theory and real analysis
* Suitable as a textbook for a beginning course on wavelet analysis

Editorial Reviews

From the Back Cover

An Introduction to Wavelets is the first volume in a new series, Wavelet Analysis and Its Applications. This is an introductory treatise on wavelet analysis , with an emphasis on spline-wavelets and time-frequency analysis. Among the basic topics covered in this book are time-frequency localization, integral wavelet transforms, dyadic wavelets, frames, spline-wavelets, orthonormal wavelet bases, and wavelet packets. In addition, a unified treatment of nonorthogonal, semiorthogonal, and orthogonal wavelets is presented. This monograph is self-contained, the only prerequisite being a basic knowledge of function theory and real analysis. It is suitable as a textbook for a beginning course on wavelet analysis and is directed toward both mathematicians and engineers who wish to learn about the subject. Specialists may use this volume as supplementary reading to the vast literature that has already emerged in this field.

Product Details

• Hardcover: 266 pages
• Publisher: Academic Press; 1 edition (January 17, 1992)
• Language: English
• ISBN-10: 0121745848
• ISBN-13: 978-0121745844
• Product Dimensions: 9.3 x 6.3 x 0.7 inches
• Shipping Weight: 1.4 pounds (View shipping rates and policies)
• Average Customer Review: 5.0 out of 5 stars  See all reviews (3 customer reviews)
• Amazon Best Sellers Rank: #492,246 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

2 of 3 people found the following review helpful:

5.0 out of 5 stars Infinite in all directions., July 9, 2002

By 

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

This review is from: An Introduction to Wavelets, Volume 1 (Wavelet Analysis and Its Applications) (Hardcover)

I have used the book, teaching a beginning course in wavelets, and it went over well with the students: they like that the proofs are clearly spelled out, and that the presentation is systematic. I supplemented it with S Mallat and Y Meyer's books. That was to give the course a more algorithmic slant. However, I feel that there are many valid approaches, and that the subject is infinite in all directions.

5.0 out of 5 stars A mathematician's introduction, May 30, 2011

By 

M. Henri De Feraudy (France) - See all my reviews
(REAL NAME)   

This review is from: An Introduction to Wavelets, Volume 1 (Wavelet Analysis and Its Applications) (Hardcover)

This book will appeal to people who like a "pure mathematics" approach to wavelets.
Engineers might prefer to look elsewhere.
Prior experience in measure theory helps but the reader will be able to make use of this if he/she has not been exposed to this. The book is self contained, aimed at advanced undergraduates or beginning graduates and can be used to introduce Fourier analysis as well.

What I like about the book is how easy it is to follow as everything is made explicit. There are a lot of definitions and rigorous proofs here. If the author wrote other texts I would love to see them.

On the other hand this book was published in 1992 which is a long time ago in this new subject.
So you should supplement this book with some more recent publications.

3 of 11 people found the following review helpful:

5.0 out of 5 stars Great introduction for Wavelet, May 11, 2000

By 

SHIH-CHIN YANG (United States) - See all my reviews

This review is from: An Introduction to Wavelets, Volume 1 (Wavelet Analysis and Its Applications) (Hardcover)

For those who would like to learn the beauty of Wavelet theory, which is a great finding in Mathematics, this book would shed some light on it. Wavelet is elegant, a simple formula leads to so much interests, the application of Wavelet is everywhere, particularly in modern communications and signal processing, and there is still more waiting for people to explore. Enjoy the new journey.