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Positive Trigonometric Polynomials and Signal Processing Applications

Positive Trigonometric Polynomials and Signal Processing Applications

Paperback

Series: Signals and Communication Technology

Technology & EngineeringGeneral Mathematics

ISBN10: 3319852175
ISBN13: 9783319852171
Publisher: Springer Nature
Published: Jul 21 2018
Pages: 276
Weight: 0.91
Height: 0.62 Width: 6.14 Depth: 9.21
Language: English

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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