Positive Trigonometric Polynomials and Signal Processing Applications

  • Bogdan Dumitrescu

Part of the Signals and Communication Technology book series (SCT)

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Bogdan Dumitrescu
    Pages 1-20
  3. Bogdan Dumitrescu
    Pages 21-64
  4. Bogdan Dumitrescu
    Pages 65-113
  5. Bogdan Dumitrescu
    Pages 115-136
  6. Bogdan Dumitrescu
    Pages 137-165
  7. Bogdan Dumitrescu
    Pages 167-190
  8. Bogdan Dumitrescu
    Pages 191-210
  9. Bogdan Dumitrescu
    Pages 211-224
  10. Back Matter
    Pages 225-241

About this book


Positive Trigonometric Polynomials and Signal Processing Applications 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 presentation starts by giving the main results for univariate polynomials, which are later extended and generalized for multivariate polynomials. The applications part is organized as a collection of related problems that use systematically the theoretical results. All the problems are brought to a semidefinite programming form, ready to be solved with algorithms freely available, like those from the library SeDuMi.


Interpolation Positive trigonometric polynomials algorithms filter design multidimensional systems optimization semidefinite programming signal processing sum-of-squares polynomials

Authors and affiliations

  • Bogdan Dumitrescu
    • 1
    • 2
  1. 1.Tampere University of TechnologyFinland
  2. 2.“Politehnica” University of BucharestRomania

Bibliographic information

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