无时限序列通过LSI系统的间接z域分析方法

Indirect z-Domain Analysis Method for Non-Time-Limited Sequence Passing Through the LTI System

提出了一种无时限序列通过LSI系统的间接z域分析方法。基于序列分解的概念,将无时限复指数序列分解为反因果序列和因果序列之和,利用LSI因果系统响应的可加性,给出系统零状态响应的间接z域分析方法,然后将周期序列分解为反因果周期序列和因果周期序列之和,利用LSI因果稳定系统响应的可加性,给出系统零状态响应的间接z分析方法,有效地解决了无时限序列通过LSI系统时系统零状态响应的z域求解问题。

An indirect z-domain analysis method for non-time-limited sequence passing through the LTI system is proposed. First of all, based on the concept of sequence decomposition, the non-time-limited complex exponential sequence is decomposed into the sum of anti-causal sequence and causal sequence, and an indirect z-domain analysis method for zero-state response of the system is presented by using the additivity of LTI causal system response. Then, the periodic sequence is decomposed into the sum of anticausal periodic sequence and causal periodic sequence, and by using the additivity of LSI causal stability system response, an indirect z-analysis method for zero-state response of the system is presented, which effectively solves the z-domain problem of zero-state response of the system when the time-free sequence passes through the LSI system.