1.

Whether the system described by the input-output equations y(n)=x(n)-x(n-1) a Time-variant system.(a) True(b) FalseThis question was addressed to me in an internship interview.This intriguing question comes from Discrete Time Systems in division Discrete Time Signals and Systems of Digital Signal Processing

Answer»

The CORRECT choice is (b) False

The explanation: If the INPUT is DELAYED by k units then the output will be y(N,k)=x(n-k)-x(n-k-1)

If the output is delayed by k units then y(n-k)=x(n-k)-x((n-k)-1)

=>y(n,k)=y(n-k). Hence the system is time-invariant.



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