Positive Trigonometric Polynomials and Signal Processing Applications

• Main Author: Dumitrescu, Bogdan (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands, 2007.
• Series: Signals and Communication Technology,
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Geometry.; Mathematical optimization.; Applied mathematics.; Engineering mathematics.; Electronic circuits.; Analysis.; Signal, Image and Speech Processing.; Appl.Mathematics/Computational Methods of Engineering.; Optimization.; Circuits and 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 m...

Table of Contents:

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