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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Dumitrescu, Bogdan (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Dordrecht : Springer Netherlands, 2007.
Σειρά:Signals and Communication Technology,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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245 1 0 |a Positive Trigonometric Polynomials and Signal Processing Applications  |h [electronic resource] /  |c by Bogdan Dumitrescu. 
264 1 |a Dordrecht :  |b Springer Netherlands,  |c 2007. 
300 |a XIV, 241 p.  |b online resource. 
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490 1 |a Signals and Communication Technology,  |x 1860-4862 
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. 
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. 
650 0 |a Mathematics. 
650 0 |a Mathematical analysis. 
650 0 |a Analysis (Mathematics). 
650 0 |a Geometry. 
650 0 |a Mathematical optimization. 
650 0 |a Applied mathematics. 
650 0 |a Engineering mathematics. 
650 0 |a Electronic circuits. 
650 1 4 |a Mathematics. 
650 2 4 |a Analysis. 
650 2 4 |a Geometry. 
650 2 4 |a Signal, Image and Speech Processing. 
650 2 4 |a Appl.Mathematics/Computational Methods of Engineering. 
650 2 4 |a Optimization. 
650 2 4 |a Circuits and Systems. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9781402051241 
830 0 |a Signals and Communication Technology,  |x 1860-4862 
856 4 0 |u http://dx.doi.org/10.1007/978-1-4020-5125-8  |z Full Text via HEAL-Link 
912 |a ZDB-2-ENG 
950 |a Engineering (Springer-11647)