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. |