Module 1 : Signals in natural domain
Lecture 10 : Properties of LTI Systems
 
b) Continuous Time:

Proof:

Thus we proved that convolution is commutative in both discrete and continuous variables.

Thus the following two systems : One with input signal x(t) and impulse response h(t) and the other with input signal h(t) and impulse response x(t) both give the same output y(t).

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