GATE EC 2003 Set 1 Q62 — LTI Systems

Let $\mathrm{P}$ be linearity, $\mathrm{Q}$ be time-invariance, $\mathrm{R}$ be causality and $\mathrm{S}$ be stability. A discrete-time system has the input-output relationship,

$$y(n)=\left\{\begin{array}{ll} x(n) & n \geq 1 \\ 0, & n=0 \\ x(n+1), & n \leq-1 \end{array}\right.$$

where $x(n)$ is the input and $y(n)$ is the output. The above system has the properties