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Let P be linearity, Q be time-in variance, R be causality and S be stability. A discrete-time system has the input output relationship—
where s(n) is the input and y(n) is the output. The above system has the properties—
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- P, S but not Q, R
- P, Q S but not R
- P, Q, R, S
- Q, R, S but not P
Correct Option: A
The given system is linear since there is no constant term with input x(t) and no square of input x(t).
The system is not causal since for any value of n its output depends upon the future value of the input
The system is stable, since this system BIBO stable.
The system is time variant since for different instant of time we get different output.
Hence alternative (A) is the correct choice.
