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Electronics and Communication Engineering (ECE) : Signals and Systems - Quiz(MCQ)
What is the commutative property?
A)
x(n)h(n)=h(n)x(n)
B)
x(n)*h(n)=h(n)*x(n)
C)
x(n)+h(n)=h(n)+x(n)
D)
x(n)**h(n)=h(n)**x(n)

Correct Answer : Option (B) :   x(n)*h(n)=h(n)*x(n)


Explanation : The commutative property is x(n)*h(n)=h(n)*x(n), where x(n) is the input and h(n) is the impulse response of the ∂(n) input of an LTI system.
∑x[k]h[n-k], when we change the variables to n-k to k-n makes it equal to LHS and RHS.

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