Title :
Symmetric Orthogonal Complex-Valued Filter Bank Design by Semidefinite Programming
Author :
Kha, H.H. ; Tuan, H.D. ; Vo, B. ; Nguyen, T.Q.
Author_Institution :
Sch. of Electr. Eng. & Telecommun., New South Wales Univ., Sydney, NSW
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
Keywords :
FIR filters; channel bank filters; linear matrix inequalities; mathematical programming; LMI; linear matrix inequality; semidefinite programming; symmetric orthogonal complex-valued filter bank; two-channel FIR filter banks; Design methodology; Filter bank; Finite impulse response filter; Image reconstruction; Linear matrix inequalities; Nonlinear distortion; OFDM modulation; Quantization; Symmetric matrices; Telecommunication computing;
Conference_Titel :
Acoustics, Speech and Signal Processing, 2006. ICASSP 2006 Proceedings. 2006 IEEE International Conference on
Conference_Location :
Toulouse
Print_ISBN :
1-4244-0469-X
DOI :
10.1109/ICASSP.2006.1660630
