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Official PYQ · 2006

GATE EC 2006 Set 1 Q75 — Analog Communications

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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


  An Amplitude Modulated signal is given as
xAM(t)=100(p(t)+0.5g(t))cos⁡ωctx_{\mathrm{AM}}(t)=100(p(t)+0.5 g(t)) \cos \omega_{c} t
in the interval 0≤t≤10 \leq t \leq 1. One set of possible values of the modulating signal and modulation index would be

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Answer: A

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