ENGLISH

Positive Trigonometric Polynomials and Signal Processing Applications

By Bogdan Dumitrescu

Book information

Publisher
Springer
Year
2017
ISBN
3319536877, 978-3-319-53687-3, 978-3-319-53688-0, 3319536885
Language
english
Format
PDF
Filesize
4 MB (3986222 bytes)
Series
Signals and Communication Technology
Edition
2ed.
Pages
276\282
Library
kolxoz
Time added
2017-10-15 16:00:00
Polynomials;Signal processing -- Mathematical mode

Description

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. 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

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