Module 1 : Signals in Natural Domain
Lecture 11 : Differential and Difference Equations
 
   Conclusion:
    In this lecture you have learnt:
The derivative operator system is LSI.
In case of a derivative operator system, a bounded input does not lead to a bounded output which becomes obvious at points where the derivative of the input signals tends to infinity. Thus the system is not stable.
The derivative operator system is invertible upto an additive constant.
The systems defined by linear constant coefficient differential equations for continuous variables (and for discrete variables, the corresponding equations are called the linear constant coefficient difference equations) are causal.
Iinteger delay is not exactly realizable in a continuous system.
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