ICASSP 2006 - May 15-19, 2006 - Toulouse, France

Technical Program

Paper Detail

Paper:SPTM-P7.4
Session:Stationary Signals and Spectrum Analysis
Time:Thursday, May 18, 10:00 - 12:00
Presentation: Poster
Topic: Signal Processing Theory and Methods: Stationary Signals and Spectrum Analysis
Title: Design of 2-D FIR Filters Using Positive Trigonometric Polynomials
Authors: Bogdan Dumitrescu, Tampere University of Technology, Finland
Abstract: We propose a method for the minimax design of 2-D FIR filters based on a parameterization of multivariate trigonometric polynomials that are positive on a given frequency domain. The parameterization uses sum-of-squares polynomials and so semidefinite programming (SDP) is applicable. The frequency domain is expressed via the positivity of some trigonometric polynomials. The degree of sum-of-square polynomials must be bounded and so the method is in principle suboptimal, but the 2-D FIR filter designs we study numerically suggest that near-optimal results are obtained.



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