Advances in Gabor Analysis / Edition 1

Hardcover (Print)
Buy New
Buy New from BN.com
$143.20
Used and New from Other Sellers
Used and New from Other Sellers
from $68.54
Usually ships in 1-2 business days
(Save 61%)
Other sellers (Hardcover)
  • All (5) from $68.54   
  • New (3) from $101.12   
  • Used (2) from $68.54   

Overview

Gabor Analysis constitutes a central part of time-frequency analysis. While preserving the symmetry between the time (location) domain and the frequency (wave number) domain it avoids the high degree of redundancy inherent in the continuous short-time Fourier transform. The ability to resolve details of a signal ( or a system impulse response) in a two-dimensional representation, whose coefficients have a very natural interpretation, is the basis for many interesting applications in electrical engineering, or signal-and image processing in general, and thus makes Gabor Analysis an important branch of applied mathematics, whose full recognition lies ahead of us. The proposed book contributes positively to this devleopment.

The aim of the book is to provide an overview of recent developments in the area of Gabor analysis by bringing together the leading scientists of various disciplines related to this subject. Covering theory, numerics, as well as applications of Gabor analysis, the book will not merely be a collection of articles but a nice blend of invited chapters with a consistent presentation. Each chapter contains the most recent research while providing enough background material to put the work into proper context.

Graduate students, practitioners and other researchers in the areas of numerical analysis, electrical engineering and applied mathematics will find this book a current and useful resource.

Read More Show Less

Editorial Reviews

From the Publisher

"The authors have put their effort into writing articles with the necessary background to make their presentations attractive and including a complete set of references. Good introductions and detailed expositions of ideas are given in all the presentations. These features make this book an invaluable tool for researchers interested in signal analysis. The research community will benefit greatly from this publication." —Mathematical Reviews

"The present book can be considered as a continuation of two previous ones: Gabor Analysis and Algorithms: Theory and Applications, H. G. Feichtinger and T. Strohmer, Eds., Birkhäuser 1998, and the book by K. Gröchenig, Foundations of Time-Frequency Analysis, Birkhäuser 2001. It contains survey chapters, but new results that have not been published previously are also included. The introductory chapter of the book, written by H. G. Feichtinger and T. Strohmer, contains a clear outline of the contents as well as some comments on the future developments in Gabor analysis.

Written by leading experts in the field, the volume appeals, by its interdisciplinary character, to a large audience, both novices and experts, theoretically inclined researchers and practitioners as well. It brilliantly illustrates how application areas and pure and applied mathematics can work together with profit for all." —Revue D'Analyse Numérique et de Théorie de L'Approximation, 2004

"A mathematically sound and self-contained presentation on recent advances in the highly applicable field of Gabor analysis.… This book is a must for all interested in signal analysis, and, of course, in particular in Gabor analysis." —Monatschefte für Mathematik

Read More Show Less

Product Details

  • ISBN-13: 9780817642396
  • Publisher: Birkhauser Verlag
  • Publication date: 12/17/2002
  • Series: Applied and Numerical Harmonic Analysis Series
  • Edition description: 2001
  • Edition number: 1
  • Pages: 356
  • Product dimensions: 9.21 (w) x 6.14 (h) x 0.88 (d)

Table of Contents

Foreword
Contributors
1 Introduction 1
2 Uncertainty Principles for Time-Frequency Representations 11
3 Zak Transforms with Few Zeros and the Tie 31
4 Bracket Products for Weyl-Heisenberg Frames 71
5 A First Survey of Gabor Multipliers 99
6 Aspects of Gabor Analysis and Operator Algebras 129
7 Integral Operators, Pseudodifferential Operators, and Gabor Frames 153
8 Methods for Approximation of the Inverse (Gabor) Frame Operator 171
9 Wilson Bases on the Interval 197
10 Localization Properties and Wavelet-Like Orthonormal Bases for the Lowest Landau Level 223
11 Optimal Stochastic Encoding and Approximation Schemes using Weyl-Heisenberg Sets 259
12 Orthogonal Frequency Division Multiplexing Based on Offset QAM 321
Index 353
Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)