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Official PYQ · 2005

GATE EC 2005 Set 1 Q59 — Continuous-time Signals

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The output y(t)y(t) of a linear time invariant system is related to its input x(t)x(t) by the following equation:

y(t)=0.5x(t−td+T)+x(t−td)+0.5x(t−td−T)y(t)=0.5 x\left(t-t_{d}+\mathrm{T}\right)+x\left(t-t_{d}\right)+0.5 x\left(t-t_{d}-\mathrm{T}\right).

The filter transfer function H(ω)\mathrm{H}(\omega) of such a system is given by

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Answer: A

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