TY  - BOOK
AU  - Dumitrescu,Bogdan
ED  - SpringerLink (Online service)
TI  - Positive Trigonometric Polynomials and Signal Processing Applications
T2  - Signals and Communication Technology,
SN  - 9781402051258
U1  - 519 23
PY  - 2007///
CY  - Dordrecht
PB  - Springer Netherlands
KW  - ENGINEERING
KW  - MATHEMATICS
KW  - MATHEMATICAL OPTIMIZATION
KW  - ENGINEERING MATHEMATICS
KW  - SYSTEMS ENGINEERING
KW  - APPL.MATHEMATICS/COMPUTATIONAL METHODS OF ENGINEERING
KW  - OPTIMIZATION
KW  - SIGNAL, IMAGE AND SPEECH PROCESSING
KW  - CIRCUITS AND SYSTEMS
KW  - APPLICATIONS OF MATHEMATICS
N1  - POSITIVE POLYNOMIALS -- GRAM MATRIX REPRESENTATION -- MULTIVARIATE POLYNOMIALS -- POLYNOMIALS POSITIVE ON DOMAINS -- DESIGN OF FIR FILTERS -- ORTHOGONAL FILTERBANKS -- STABILITY -- DESIGN OF IIR FILTERS
N2  - 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
UR  - http://dx.doi.org/10.1007/978-1-4020-5125-8
ER  -