Paper: | SPTM-P1.3 |
Session: | Multi-rate Signal Processing and Wavelets |
Time: | Tuesday, May 16, 10:30 - 12:30 |
Presentation: |
Poster
|
Topic: |
Signal Processing Theory and Methods: Multi-rate Signal Processing and Wavelets |
Title: |
SYMMETRIC ORTHOGONAL COMPLEX-VALUED FILTER BANK DESIGN BY SEMIDEFINITE PROGRAMMING |
Authors: |
Ha Kha, Hoang D. Tuan, University of New South Wales, Australia; Ba-Ngu Vo, University of Melbourne, Australia; Truong Q. Nguyen, University of California, San Diego, United States |
Abstract: |
A new design method for complex-valued two-channel FIR filter banks with both orthogonality and symmetry properties is developed. Based on a novel linear matrix inequality (LMI) characterization of trigonometric curves, the optimal design of the perfect reconstruction filter bank is reformulated as a semi-definite programme. The dimension of the resulting semi-definite programme is further reduced by exploiting the strong convex duality. Consequently, the globally optimal solution can be effectively found for any practical filter length and desired regularity order. |