离散系统非整时移定理分析

The Analysis of Non-integran Time-shift Theorems in Discrete-time Systems

本文提出了异步z-变换的概念,由此研究了具有非整时移离散序列任意时移定理,给出显式的有理时移定理.文中证明通常的离散时移定理是上述定理的特例,最后分析了非整时移近似处理产生的频域误差。

This paper gives the concept of asynchronous z-transform,by use of which the arbitary time-shift theorem is deduced for discrete-time systems with non-integral time-shifts, and a rational time-shift theorem is given. It is proved thai the usual time-shift theorem is a special case of theorem 1 here. At the end of paper, the error, which appears when the approximate estimate of non-integral time-shift is used, is analyzed in the frequency-domain.