(a) Evaluate the effect of a frequency error ∆f in the local carrier frequency of the detector, measured with respect to the carrier frequency of the incoming DSB-SC wave.
(b) For the case of a sinusoidal modulating wave, show that because of this frequency error, the demodulated wave exhibits beats at the error frequency. Illustrate your answer with a sketch of this demodulated wave. (A beat refers to a signal whose frequency is the difference between the frequencies of two input signals.)
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