Dumitrescu Positive Trigonometric Polynomials and Signal Processing Applications
1. Auflage 2007
ISBN: 978-1-4020-5125-8
Verlag: Springer Netherland
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 241 Seiten, eBook
Reihe: Signals and Communication Technology
ISBN: 978-1-4020-5125-8
Verlag: Springer Netherland
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
POSITIVE POLYNOMIALS.- GRAM MATRIX REPRESENTATION.- MULTIVARIATE POLYNOMIALS.- POLYNOMIALS POSITIVE ON DOMAINS.- DESIGN OF FIR FILTERS.- ORTHOGONAL FILTERBANKS.- STABILITY.- DESIGN OF IIR FILTERS.
