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Könyv Positive Trigonometric Polynomials and Signal Processing Applications Bogdan Alexandru Dumitrescu

Positive Trigonometric Polynomials and Signal Processing Applications

Szerző: Bogdan Alexandru Dumitrescu
Nyelv: Angol
Kötés: Puha kötésű
Kiadó: Springer Netherlands
Elérhetőség: 50 % esély
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58 124 Ft
This book gathers the main recent results on positive trigonometric polynomials within a unitary fra...

Információk a könyvről

Szerző
Bogdan Alexandru Dumitrescu
Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2010
oldal
242
EAN
9789048172887
ISBN
9048172888
Enbook ID
01975476
Kiadó
Springer Netherlands
Súly
397
Méretek
156 x 234 x 13

Teljes leírás

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.Positive and sum-of-squares polynomials have received a special interest in the latest decade, due to their connections with semidefinite programming. Thus, efficient optimization methods can be employed to solve diverse problems involving polynomials. This book gathers the main recent results on positive trigonometric polynomials within a unitary framework; the theoretical results are obtained partly from the general theory of real polynomials, partly from self-sustained developments. The optimization applications cover a field different from that of real polynomials, mainly in signal processing problems: design of 1-D and 2-D FIR or IIR filters, design of orthogonal filterbanks and wavelets, stability of multidimensional discrete-time systems.§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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