(Solution) - Consider a discrete time system with input x n and output y n -(2025 Original AI-Free Solution)

Discipline:

Type of Paper:

Academic Level: Undergrad. (yrs 3-4)

Paper Format: APA

Pages: 5 Words: 1375

Download Solution ($11.00) Write My Paper Afresh

Buy For $11.00

Paper Details

Consider a discrete-time system with input x[n] and output y[n]. When the input is
x[n] = (1/4)n u[n],
the output is
y[n] = (1/2)n for all n.
Determine which of the following statements is correct:
The system must be LTI.
The system could be LTI.
The system cannot be LTI.
If your answer is that the system must or could be LTI, give a possible impulse response. If your answer is that the system could not be LTI, explain clearly why not.