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Positive Trigonometric Polynomials and Signal Processing Applications

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 m...

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Bibliographic Details
Main Author: Dumitrescu, Bogdan Alexandru
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 2007, 2007
Edition:1st ed. 2007
Series:Signals and Communication Technology
Subjects:
Optimization
Engineering Mathematics
Mathematical Analysis
Analysis
Electronic Circuits
Signal, Speech And Image Processing
Geometry
Engineering / Data Processing
Electronic Circuits And Systems
Signal Processing
Mathematical Optimization
Mathematical And Computational Engineering Applications
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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505 0 |a POSITIVE POLYNOMIALS -- GRAM MATRIX REPRESENTATION -- MULTIVARIATE POLYNOMIALS -- POLYNOMIALS POSITIVE ON DOMAINS -- DESIGN OF FIR FILTERS -- ORTHOGONAL FILTERBANKS -- STABILITY -- DESIGN OF IIR FILTERS. 
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520 |a 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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