设计线性时变递归数字滤波器的时域最小平方误差法

A Time-Domain Least Square Error Method for Designing Linear Time-Variant Recursive Digital Filters

提出了设计线性时变递归数字滤波器的一种新方法。其基本思想是在最小平方误差意义下，用与左边系数为常数的线性时变差分方程相应的广义脉冲响应逼近给定的广义脉冲响应。该方法的主要特点是计算量小、占用存储空间少、容易判别其稳定性。最后举例验证了新方法并与其它时域设计方法作了比较。

A new method for the design of linear time-variant recursive digital filters is proposed in this paper. Its main idea is that the coefficients of a linear time-variant difference equation with the left constant coefficients are found to approximate the desired impulse response in the least square error sense. This method has the advantages of saving computation time and storage space, and determining its stability easily. Finally, several examples are presented to illustrate the new method and to compare with the other time-domain design methods.