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.Let us first note that, using the generalized trace parameterization (3.32), the problem (3.48) can be cast into the following ... Example 3.17 Let uscompute the minimum value on the unit bicircle of the polynomial R(z)=5+(z 1 + za11 )+(z 1z2 +anbsp;...

Title | : | Positive Trigonometric Polynomials and Signal Processing Applications |

Author | : | Bogdan Alexandru Dumitrescu |

Publisher | : | Springer Science & Business Media - 2007-04-27 |

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