Symmetric Orthogonal Complex-Valued Filter Bank Design by Semidefinite Programming

Authors:
Ha Kha;Hoang Tuan;Ba-Ngu Vo;T.Q. Nguyen
Affiliations:
Univ. of New South Wales, Sydney;-;-;-
Venue:
IEEE Transactions on Signal Processing
Year:
2007

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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.