对z变换基本性质的进一步讨论

Further Discussion on Basic Properties of Z Transform

z变换的基本性质在z变换分析法中占有非常重要的地位。给出了z变换基本性质的几点注记。值得指出的是,时域卷积定理对单边z变换未必成立,利用初值定理可求出任意序列值,终值定理在使用过程中要特别注意。通过举例对以上几个问题加以了说明。

The basic properties of z transform play an important role in z transform analysis method. In this paper, some notes on the basic properties of z transform are given and several meaningful results are pointed out. To begin with, the convolution theorem in time domain may not hold for the unilateral z transform. Then, the arbitrary sequence values can be obtained by utilizing initial value theorem. Furthermore, special attention should be paid in application of final value theorem. Finally, the above problems are illustrated by examples.