Symmetric Orthogonal Complex-Valued Filter Bank Design by Semidefinite Programming
Symmetric Orthogonal Complex-Valued Filter Bank Design by Semidefinite Programming
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DOI：
10.1109/icassp.2006.1660630
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发表时间：
2006-05
影响因子：
5.4
通讯作者：
H. H. Kha-H.;H. Tuan;B. Vo;Truong Q. Nguyen
中科院分区：
文献类型：
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作者：
H. H. Kha-H.;H. Tuan;B. Vo;Truong Q. Nguyen
提出了一种具有正交性和对称性的复值双通道有限脉冲响应滤波器组的新设计方法。基于一种新颖的三角曲线线性矩阵不等式（LMI）表征，将完全重构滤波器组的优化设计问题转化为半定规划问题。利用凸对偶性进一步降低了所得到的SDP问题的维数。因此，对于任何实际的滤波器长度和期望的正则顺序，都可以找到全局最优解。
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.