Consider a discrete-time system with input x[n] and output y[n]. When the input is
the output is
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.
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