有理分式反Z变换的实用方法

THE RATIONAL FRACTION INVERSE Z-TRANSFORM-A Proven Approach

安徽大学无线电系

本文给出的有理分式反Z变换方法可以同时给出因果和逆因果两种序列.由于它避免了现有三种反Z变换方法所必需的确定分式极点的困难及误差,所以使用起来较为方便和精确.它可用来研究子波信号的延迟性质与系统(如滤波器)稳定性和可逆性,还可用来求解线性系统的差分方程,确定分式零点与极点的定位范围.

By using the given approach, the RATIONAL FRACTION INVERSE Z-TRANSFORM, 2 sequences i.e. casuality and reverse casuality could be given out simultaneously, Because one can extricate oneself from the "hard nut" come across while determining the poles of fraction and their errors, which are considered essential in making the 3 existing approaches of INVERSE Z-TRANSFORM, so it is easier to perform and the result turns out accurately. Also, it helps examine the signal delay of wavelet as well as the stabilility and reversibility of system(e.g.filter) and solve the difference equation of linear system and define the location range of zero and pole of fraction.