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 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. Bücher / Fremdsprachige Bücher / Englische Bücher / Kinder- & Jugendbücher / Bilderbücher 978-90-481-7288-7, Springer

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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 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. Positive Trigonometric Polynomials and Signal Processing Applications Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher>Kinder- & Jugendbücher>Bilderbücher, Springer

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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 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. 256 pp. Englisch

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ISBN: 9789048172887

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

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2010, ISBN: 9789048172887

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

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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...

## 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...

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...

ISBN: 9789048172887

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

2010, ISBN: 9789048172887

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

auteur: | |

Titel: | |

ISBN: |

** 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.### Andere boeken die eventueel grote overeenkomsten met dit boek kunnen hebben:

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