Semidefinite descriptions of cones defining spectral mask constraints

Leonid Faybusovich (leonid.faybusovich.1nd.edu)

Abstract: We discuss in detail an additive structure of cones of trigonometric polynomials nonnegative on the union of finite number of pairwise disjoint segments of the unit circle. We derive new descriptions of these cones in terms of semidefinite constraints. We explain the results of M. Krein and A. Nudelman providing a description of dual cones in terms of the same type of constraints

Keywords: semidefinite reductions, filtering, cones of squares

Category 1: Applications -- Science and Engineering

Category 2: Linear, Cone and Semidefinite Programming (Semi-definite Programming )

Citation: Research Report,March 2004, University of Notre Dame

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Entry Submitted: 04/07/2004
Entry Accepted: 04/07/2004
Entry Last Modified: 04/07/2004

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