Positive Trigonometric Polynomials and Signal Processing Applications (Signals and Communication Technology) - Softcover
Synopsis
This book gathers the main recent results on positive trigonometric polynomials within a unitary framework. The book 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 applications part is organized as a collection of related problems that use systematically the theoretical results.
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Product Description
This book gathers the main recent results on positive trigonometric polynomials within a unitary framework. The book 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 applications part is organized as a collection of related problems that use systematically the theoretical results.
Review
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)
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