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Positive Trigonometric Polynomials and Signal Processing Applications - Bogdan Alexandru Dumitrescu
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ISBN: 9789048172887

Positive Trigonometric Polynomials and Signal Processing Applications This book gathers the main recent results on positive trigonometric polynomials within a unitary framework. The book … Meer...

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Bogdan Alexandru Dumitrescu:

Positive Trigonometric Polynomials and Signal Processing Applications - nieuw boek

ISBN: 9789048172887

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 t… Meer...

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Positive Trigonometric Polynomials and Signal Processing Applications - pocketboek

2011

ISBN: 9048172888

[EAN: 9789048172887], Neubuch, [PU: Springer Jan 2011], This item is printed on demand - Print on Demand Titel. Neuware - This book gathers the main recent results on positive trigonometr… Meer...

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Bogdan Alexandru Dumitrescu:
Positive Trigonometric Polynomials and Signal Processing Applications - nieuw boek

ISBN: 9789048172887

Positive Trigonometric Polynomials and Signal Processing Applications Author :Bogdan Alexandru Dumitrescu 9789048172887 9048172888

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Bogdan Alexandru Dumitrescu:
Positive Trigonometric Polynomials and Signal Processing Applications - pocketboek

2010, ISBN: 9789048172887

1st ed. Softcover of orig. ed. 2007, Softcover, Buch, [PU: Springer]

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Bijzonderheden over het boek
Positive Trigonometric Polynomials and Signal Processing Applications (Signals and Communication Technology)

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.

Gedetalleerde informatie over het boek. - Positive Trigonometric Polynomials and Signal Processing Applications (Signals and Communication Technology)


EAN (ISBN-13): 9789048172887
ISBN (ISBN-10): 9048172888
pocket book
Verschijningsjaar: 2011
Uitgever: Springer-Verlag GmbH
256 Bladzijden
Gewicht: 0,392 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2010-06-15T15:58:07+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2016-10-26T06:33:20+02:00 (Amsterdam)
ISBN/EAN: 9789048172887

ISBN - alternatieve schrijfwijzen:
90-481-7288-8, 978-90-481-7288-7


Gegevens van de uitgever

Auteur: Bogdan Alexandru Dumitrescu
Titel: Signals and Communication Technology; Positive Trigonometric Polynomials and Signal Processing Applications
Uitgeverij: Springer; Springer Netherland
242 Bladzijden
Verschijningsjaar: 2011-01-27
Dordrecht; NL
Gewicht: 0,397 kg
Taal: Engels
160,49 € (DE)
164,99 € (AT)
200,20 CHF (CH)
Not available, publisher indicates OP

BC; Previously published in hardcover; Hardcover, Softcover / Mathematik/Analysis; Mathematische Analysis, allgemein; signal processing; algorithms; Positive trigonometric polynomials; semidefinite programming; Interpolation; optimization; multidimensional systems; sum-of-squares polynomials; filter design; B; Analysis; Engineering; Geometry; Signal, Image and Speech Processing; Mathematical and Computational Engineering; Optimization; Circuits and Systems; Geometrie; Bilderfassungssysteme und -technologie; Signalverarbeitung; Mathematik für Ingenieure; Optimierung; Schaltkreise und Komponenten (Bauteile); BB; BB

1. Positive polynomials. 1.1 Types of polynomials. 1.2 Positive polynomials. 1.3 Toeplitz positivity conditions. 1.4 Positivity on an interval. 1.5 Details and other facts. 1.6 Bibliographical and historical notes. 2. Gram matrix representation. 2.1 Parameterization of trigonometric polynomials. 2.2 Optimization using the trace parameterization. 2.3 Toeplitz quadratic optimization. 2.4 Duality. 2.5 Kalman-Yakubovich-Popov lemma. 2.6 Spectral factorization from a Gram matrix. 2.7 Parameterization of real polynomials. 2.8 Choosing the right basis. 2.9 Interpolation representations. 2.10 Mixed representations. 2.11 Fast algorithms. 2.12 Details and other facts. 2.13 Bibliographical and historical notes. 3. Multivariate polynomials. 3.1 Multivariate polynomials. 3.2 Sum-of-squares multivariate polynomials. 3.3 Sum-of-squares of real polynomials. 3.4 Gram matrices of trigonometric polynomials. 3.5 Sum-of-squares relaxations. 3.6 Gram matrices from partial bases. 3.7 Gram matrices of real multivariate polynomials. 3.8 Pairs of relaxations. 3.9 The Gram pair parameterization. 3.10 Polynomials with matrix coefficients. 3.11 Details and other facts. 3.12 Bibliographical and historical notes. 4. Polynomials positive on domains. 4.1 Real polynomials positive on compact domains. 4.2 Polynomials positive on frequency domains. 4.3 Bounded Real Lemma. 4.4 Positivstellensatz. 4.5 Details and other facts. 4.6 Bibliographical and historical notes. 5. Design of FIR filters. 5.1 Design of FIR filters. 5.2 Design of 2-D FIR filters. 5.3 FIR deconvolution. 5.4 Bibliographical and historical notes. 6. Orthogonal filterbanks. 6.1 Two-channel filterbanks. 6.2 Signal-adapted wavelets. 6.3 GDFT modulated filterbanks. 6.4 Bibliographical and historical notes. 7. Stability. 7.1 Multidimensional stability tests. 7.2 Robust stability. 7.3 Convex stability domains. 7.4 Bibliographical and historical notes. 8. Design of IIR filters. 8.1 Magnitude design of IIR filters. 8.2 Approximate linear-phase designs. 8.3 2D IIR filter design. 8.4 Bibliographical and historical notes Appendix A: semidefinite programming. Appendix B: spectral factorization. References.

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