Signals and Communication Technology

Positive Trigonometric Polynomials and Signal Processing Applications

Authors: Dumitrescu, Bogdan Alexandru

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eBook $159.00
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  • ISBN 978-1-4020-5125-8
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Hardcover $209.00
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About this book

Positive Trigonometric Polynomials and Signal Processing Applications has two parts: theory and applications. The theory of sum-of-squares trigonometric polynomials is presented unitarily based on the concept of Gram matrix (extended to Gram pair or Gram set). The presentation starts by giving the main results for univariate polynomials, which are later extended and generalized for multivariate polynomials. The applications part is organized as a collection of related problems that use systematically the theoretical results. All the problems are brought to a semidefinite programming form, ready to be solved with algorithms freely available, like those from the library SeDuMi.

Reviews

From the reviews:

"The book under review is a new contribution on the topic, with a focus on signal processing applications. … this is the first self-contained manuscript on this emerging research area, and hence it is a welcome and timely contribution to the technical literature. … use of illustrative numerical examples, accompanied by Matlab scripts, allows the inexperienced reader to grasp the essential ideas without having to understand all the mathematical subtelties. In particular, signal processing engineers should benefit a lot from reading the book … ." (Didier Henrion, Zentralblatt MATH, Vol. 1126 (3), 2008)

"Trigonometric polynomials that are positive on the unit circle play an essential role in a number of digital filtering problems. … The text would be quite suitable for use as the basis of lectures, for it has proofs written out, a survey of the literature and many exercises." (A. Bultheel, Mathematical Reviews, Issue 2007 m)


Table of contents (1 chapters)

Buy this book

eBook $159.00
price for USA (gross)
  • ISBN 978-1-4020-5125-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $209.00
price for USA
  • ISBN 978-1-4020-5124-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Positive Trigonometric Polynomials and Signal Processing Applications
Authors
Series Title
Signals and Communication Technology
Copyright
2007
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-1-4020-5125-8
DOI
10.1007/978-1-4020-5125-8
Hardcover ISBN
978-1-4020-5124-1
Series ISSN
1860-4862
Edition Number
1
Number of Pages
XIV, 242
Topics