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Calculate the minimum sampling rate to avoid aliasing when a continuous-time signal is given by x(t) = 5 cos 400πt

Calculate the minimum sampling rate to avoid aliasing when a continuous-time signal is given by x(t) = 5 cos 400πt Correct Answer 400 Hz

Concept:

Minimum sampling rate to avoid aliasing:

fs = 2fm = (Nyquist rate)

Calculation:

Given that, ωm = 400 π

fm = 200 Hz = maximum frequency of signal

Sampling frequency fs = 2 × 200 = 400 Hz

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