Answer:
The system can be described by a convolution
Explanation:
Thinking process:
If we consider a discrete input to a linear time-invariant system, then the system will be periodic with respect to the period, say N. This therefore, means that the output must also be periodic. The proof is as follows:
The LTI system can be written for the system where:
y (n+N) = ∑[tex]h(k)x(n + N - k)[/tex]
= ∑[tex]h(k)x(n-k)\\= y(n)[/tex]
From the proof, it turns out that y(y + N) = y(n) for any value of n, then the output will be the periodic with the period N.
