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Official PYQ · 2017

GATE EC 2017 Set 1 Q6 — LTI Systems

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Consider a single input single output discrete-time system with x[n]x[ n ] as input and y[n]y [ n ] as output, where the two are related asy[n]={n∣x[n]∣, for  0≤n≤10x[n]–x[n−1],otherwise.y [ n ]= \begin{cases} n \mid x [ n ] \mid, & \text{ for } \ 0\leq n\leq 10\\ x [ n ] – x [ n-1 ], & \text{otherwise.}\end{cases} Which one of the following statements is true about the system?

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Answer: A

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