摘要
本文将具有精确重建特性的余弦调制正交镜象滤波器组的设计问题转化为一种带二次约束的最小二乘（ＱＣＬＳ）优化问题，其中所有的约束矩阵都是对称正定的．为了有效地求解该类ＱＣＬＳ优化问题，文中构造了一个代价函数，从而很容易地获得了该问题的全局最优解．最后给出的两个设计实例验证了本文方法的正确性和有效性．
The design problem of cosine modulated QMF banks satisfying the perfect reconstruction property has been formulated as a quadratic constrained least squares(QCLS)optimization problem whose constrained matrices are symmetric and positive definite.In order to efficiently solve this kind of QCLS optimization problems,we construct a cost function which is a convex function of our desired prototype filter coefficients.So a global minimum of this problem can be easily obtained.Results of two digital design examples are presented to support our derivatives and analyses in this paper.
出处
《电子学报》
EI
CAS
CSCD
北大核心
1999年第1期58-61,共4页
Acta Electronica Sinica
基金
中国博士后科学基金
国家自然科学基金
关键词
信号处理
多速率信号处理
滤波器组
PR-CMFB
Cosine modulated quadrature mirror filter(CM QMF) banks,Signal processing,Multirate signal processing,Filter bank,Global optimization,Penalty function approach(PFA)
