Q140
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 [ n ] = \ n | x [ n ] |, & for\,0 n 10 x [ n ] - x [ n - 1 ], & otherwise . Which one of the following statements is true about the system?
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\{ {\matrix{ {n\left| {x\left[ n \right]} \right|,} & {{\rm{for}}\,0 \le n \le 10} \\ {x\left[ n \right] - x\left[ {n - 1} \right],} & {{\rm{otherwise}}} \\ } } \right.
Which one of the following statements is true about the system?
y\left[ n \right] = \left\{ {\matrix{ {n\left| {x\left[ n \right]} \right|,} & {{\rm{for}}\,0 \le n \le 10} \\ {x\left[ n \right] - x\left[ {n - 1} \right],} & {{\rm{otherwise}}} \\ } } \right.
Which one of the following statements is true about the system?
A.
It is causal and stable
AnswerB.
It is causal but not stable
C.
It is not causal but stable
D.
It is neither causal nor stable
Answer: Option A
Solution
Answer: Option A
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