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GATE EC 2014 Set 1 — Question 28

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NAT+1 / -0MediumSampling TheoremContinuous-Time SignalsSignals & Systems

Signals & Systems → Continuous-Time Signals → Sampling Theorem

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Question

Consider two real valued signals, x(t)x(t) band-limited to [−500 Hz,500 Hz][-500 \text{ Hz}, 500 \text{ Hz}] and y(t)y(t) band-limited to [−1 kHz,1 kHz][-1 \text{ kHz}, 1 \text{ kHz}]. For z(t)=x(t)⋅y(t)z(t) = x(t) \cdot y(t), the Nyquist sampling frequency (in kHz) is ______.
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