数字IIR滤波器FIR逼近的LMI方法

An LMI Approach to FIR Approximation for Digital IIR Filters

基于有界实引理(BRL),使FIR滤波器逼近数字IIR滤波器问题变换为具线性矩阵不等式(LM I)约束的凸次优化问题,提出了具H∞误差范数的IIR滤波器FIR逼近方法,数值计算证实了该方法的有效性。

Based on the bounded real lemma （BRL）, a new method to approximate an IIR filter by an FIR filter is proposed,which directly yields an optimal approximation with respect to the H∞ error norm by reducing the design problem to convex suboptimal problem subject to linear matrix inequality （LMI） ,and the effec- tiveness of proposed method in this paper is checked out by a numerical example.