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Positive Trigonometric Polynomials and Signal Processing Applications by Bogdan Alexandru Dumitrescu

Positive Trigonometric Polynomials and Signal Processing Applications

by Bogdan Alexandru Dumitrescu
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Book cover type: Hardcover
  • ISBN13: 9781402051241
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 242
  • Original Price: EUR 99.99
  • Language: English
  • Edition: 2007
  • Item Weight: 536 grams
  • BISAC Subject(s): Applied, Linear & Nonlinear Programming, and Electronics / Circuits / General

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.

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