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Official PYQ · 2018

GATE EC 2018 Set 1 Q54 — Continuous-time Signals

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A band limited low-pass signal x(t)x(t) of bandwidth 5 kHz5\:kHz is sampled at a sampling rate fsf_{s}.The signal x(t)x(t) is reconstructed using the reconstruction filter H(f)H(f) whose magnitude response is shown below:

                   

The minimum sampling rate fs(in kHz)f_{s}(\text{in}\: kHz) for perfect reconstruction of x(t)x(t) is ________.

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Answer: 13:13

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