ENGLISH

Positive Trigonometric Polynomials and Signal Processing Applications

By Bogdan Dumitrescu

Book information

Publisher
Springer International Publishing AG
Year
2017
DOI
10.1007/978-3-319-53688-0
ISSN
1860-4870
Language
english
Format
PDF
Filesize
6 MB (5907554 bytes)
Series
Signals and Communication Technology
Edition
Second
Pages
282\282
Time added
2017-03-25 17:06:20

Description

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 based on the concept of Gram matrix (extended to Gram pair or Gram set). The programming environment has also evolved, and the book’s examples are changed accordingly. The applications section is organized as a collection of related problems that use systematically the theoretical results. All the problems are brought to a semi-definite programming form, ready to be solved with algorithms freely available, like those from the libraries SeDuMi, CVX and Pos3Poly. A new chapter discusses applications in super-resolution theory, where Bounded Real Lemma for trigonometric polynomials is an important tool. This revision is written to be more appealing and easier to use for new readers.

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