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

Technical Program

Paper Detail

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.



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