Module 4 : Laplace and Z Transform
Lecture 36 : Analysis of LTI systems with rational system functions
 

System Defination of Causal Rational System and Linear Constant Coefficient Difference equation

(a) Continuos system :-
The system function can be written as ,
Taking the inverse Laplace transform we have ,

 

(b) Discrete system :-

It is always possible to write the system function this way for a Causal rational discrete system .
Taking the inverse z-transform of the above equation we have ,