Positive Trigonometric Polynomials and Signal Processing Applications (Signals and Communication Technology) - Hardcover

Dumitrescu, Bogdan Alexandru

 
9781402051241: Positive Trigonometric Polynomials and Signal Processing Applications (Signals and Communication Technology)

Inhaltsangabe

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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