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

Volume

3

fYear

2006

fDate

14-19 May 2006

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech and Signal Processing, 2006. ICASSP 2006 Proceedings. 2006 IEEE International Conference on

Conference_Location

Toulouse

ISSN

1520-6149

Print_ISBN

1-4244-0469-X

Type

conf

DOI

10.1109/ICASSP.2006.1660630

Filename

1660630