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Official PYQ · 2006

GATE EC 2006 Set 1 Q74 — LTI Systems

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Common Data for Questions 74, 75:
Let g(t)=p(t)∗p(t)g(t)=p(t)^{*} p(t), where * denotes convolution and p(t)=u(t)−u(t−1)p(t)=u(t)-u(t-1) with u(t)u(t) being the unit step function

The impulse response of filter matched to the signal s(t)=g(t)−δ(t−2)∗g(t)s(t)=g(t)-\delta(t-2)^{*} g(t) is given as

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Answer: D

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