Positive Trigonometric Polynomials and Signal Processing Applications

• Main Author: Dumitrescu, Bogdan (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Edition: 2nd ed. 2017.
• Series: Signals and Communication Technology,
• Subjects: Engineering.; Mathematical analysis.; Analysis (Mathematics).; Geometry.; Mathematical optimization.; Applied mathematics.; Engineering mathematics.; Electronic circuits.; Signal, Image and Speech Processing.; Appl.Mathematics/Computational Methods of Engineering.; Circuits and Systems.; Analysis.; Optimization.

This revised edition is made up of two parts: theory and applications. Though many of the fundamental results are still valid and used, new and revised material is woven throughout the text. As with the original book, the theory of sum-of-squares trigonometric polynomials is presented unitarily base...

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
• Optimization with the Atomic Norm
• Appendix A: Semidefinite Programming
• Appendix B: Spectral Factorization.