Consider a discrete-time system with input x[n] and output y[n]. When the input is x[n] = (1/4)
Question:
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.
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Related Book For
Discrete Time Signal Processing
ISBN: 978-0137549207
2nd Edition
Authors: Alan V. Oppenheim, Rolan W. Schafer
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