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 Se Du Mi.
Mục lục
POSITIVE POLYNOMIALS.- GRAM MATRIX REPRESENTATION.- MULTIVARIATE POLYNOMIALS.- POLYNOMIALS POSITIVE ON DOMAINS.- DESIGN OF FIR FILTERS.- ORTHOGONAL FILTERBANKS.- STABILITY.- DESIGN OF IIR FILTERS.
Ngôn ngữ Anh ● định dạng PDF ● Trang 242 ● ISBN 9781402051258 ● Kích thước tập tin 4.5 MB ● Nhà xuất bản Springer Netherland ● Thành phố Dordrecht ● Quốc gia NL ● Được phát hành 2007 ● Có thể tải xuống 24 tháng ● Tiền tệ EUR ● TÔI 2147847 ● Sao chép bảo vệ DRM xã hội