Positive Trigonometric Polynomials and Signal Processing Applications

✍ Scribed by Bogdan Dumitrescu

Publisher: Springer
Year: 2017
Tongue: English
Leaves: 282
Series: Signals and Communication Technology
Edition: 2ed.
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

This book gathers the main recent results on positive trigonometric polynomials within a unitary framework. The book 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 applications part is organized as a collection of related problems that use systematically the theoretical results.

✦ Table of Contents

Front Matter....Pages i-xvi
Positive Polynomials....Pages 1-21
Gram Matrix Representation....Pages 23-69
Multivariate Polynomials....Pages 71-121
Polynomials Positive on Domains....Pages 123-147
Design of FIR Filters....Pages 149-177
Orthogonal Filterbanks....Pages 179-203
Stability....Pages 205-225
Design of IIR Filters....Pages 227-242
Optimization with the Atomic Norm....Pages 243-262
Back Matter....Pages 263-276

✦ Subjects

Polynomials;Signal processing -- Mathematical models;Toeplitz matrices

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