Symmetric Orthogonal Complex-Valued Filter Bank Design by Semidefinite Programming

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...

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Bibliographic Details
Main Authors: Kha, H.H., Tuan, H.D., Vo, B., Nguyen, T.Q.
Format: Conference Proceeding
Language:English
Subjects:
Design methodology
Filter bank
Finite impulse response filter
Image reconstruction
Linear matrix inequalities
Nonlinear distortion
OFDM modulation
Quantization
Symmetric matrices
Telecommunication computing
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Summary: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
ISSN:1520-6149
2379-190X
DOI:10.1109/ICASSP.2006.1660630