1.

Consider a single input single output discrete-time system with x[n] as input and y[n] as output. Where the two are related as\(y\left[ n \right] = \left\{ {\begin{array}{*{20}{c}} {\;n\left| {x\left[ n \right]} \right|,\;}\\ {x\left[ n \right] - x\left[ {n - 1} \right],} \end{array}} \right.\begin{array}{*{20}{c}} {\;for\;0 \le n \le 10}\\ {otherwise.} \end{array}\)Which one of the following statements is true about the system?

A. It is casual and stable
B. It is causal but not stable
C. It is not causal but stable
D. It is neither causal nor stable
Answer» B. It is causal but not stable


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