Positive Trigonometric Polynomials and Signal Processing Applications [electronic resource] / by Bogdan Dumitrescu.

By:

Dumitrescu, Bogdan [author.]

Contributor(s):

SpringerLink (Online service)

Series: Signals and Communication TechnologyPublisher: Dordrecht : Springer Netherlands, 2007Description: XIV, 241 p. online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9781402051258

Subject(s):

Genre/Form:

Electronic books.

Additional physical formats: Printed edition:: No titleDDC classification:

515 23

LOC classification:

QA299.6-433

Online resources:

Click here to access online

Contents:

POSITIVE POLYNOMIALS -- GRAM MATRIX REPRESENTATION -- MULTIVARIATE POLYNOMIALS -- POLYNOMIALS POSITIVE ON DOMAINS -- DESIGN OF FIR FILTERS -- ORTHOGONAL FILTERBANKS -- STABILITY -- DESIGN OF IIR FILTERS.

In: Springer eBooksSummary: 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.

Item type:

eBooks

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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.