Calculate the Nyquist rate for sampling when a continuous time signal is given by: x(t) = 5 cos 100πt +10 cos 200πt - 15 cos 300πt

Calculate the Nyquist rate for sampling when a continuous time signal is given by: x(t) = 5 cos 100πt +10 cos 200πt - 15 cos 300πt Correct Answer 300 Hz

Minimum sampling rate to avoid aliasing fs = 2fm= (Nyquist rate)

ωm = max {100π, 200π, 300π} = 300π

fm = 150 Hz = maximum frequency of signal

Sampling frequency or Nyquist rate; fs = 2 × 150 = 300 Hz

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Assertion (A): Nyquist rate of sampling is the theoretical minimum sampling rate at which the signal can be sampled and still be reconstructed from its samples. Reason (R): When the Nyquist rate sampling is used, only an ideal low pass filter can be used to extract signal x(t) from sampled signal xs(t). Code: