Lecture 36 :
Analysis of LTI Systems with Rational System Functions
Objectives
Scope of this Lecture:
Previously we
understood the meaning of causal systems, stable systems
and instable systems
using the concept of ROC. Here we will delve deeper into the
previously established concepts by studying
several theorems and other properties.
We shall derive necessary and sufficient conditions for causality and stability of both discrete and continuous rational systems.
We shall look at plotting of poles and zeros.
We shall even prove some theorems.
By taking inverse transform of the rational system function, one can arrive at
linear constant coefficient difference/differential equations.
