Title :
Symmetric Orthogonal Complex-Valued Filter Bank Design by Semidefinite Programming
Author :
Kha, Ha Hoang ; Tuan, Hoang Duong ; Vo, Ba-Ngu ; Nguyen, Truong Q.
Author_Institution :
Univ. of New South Wales, Sydney
Abstract :
A new design method for complex-valued two-channel finite impulse response (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 perfect-reconstruction filter banks is cast into a semidefinite programming (SDP) problem. The dimension of the resulting SDP problem is further reduced by exploiting convex duality. Consequently, the globally optimal solution can be found for any practical filter length and desired regularity order.
Keywords :
FIR filters; channel bank filters; computational geometry; curve fitting; linear matrix inequalities; mathematical programming; optimisation; complex-valued two-channel finite impulse response filter bank; linear matrix inequality; optimal design; orthogonality property; perfect-reconstruction filter bank; semidefinite programming; symmetry property; trigonometric curve; Design methodology; Distortion; Filter bank; Finite impulse response filter; Linear matrix inequalities; Linear programming; Nonlinear equations; OFDM modulation; Polynomials; Prototypes; Complex-valued filter bank; semidefinite programming (SDP); trigonometric polynomial;
Journal_Title :
Signal Processing, IEEE Transactions on
DOI :
10.1109/TSP.2007.896288
