A signal m(t) is multiplied by a sinusoidal waveform of frequency fc such that v(t)=m(t) cos 2pfct If Fourier transform of m(t) is M(f), Fourier transform of v(t) will be

1. 

A signal m(t) is multiplied by a sinusoidal waveform of frequency fc such that
v(t)=m(t) cos 2pfct
If Fourier transform of m(t) is M(f), Fourier transform of v(t) will be
[A]. 0.5 M(f + fc)
[B]. 0.5 M(f - fc)
[C]. 0.5 M(f + fc) + 0.5 M(f - fc)
[D]. 0.5 M(f - fc) + 0.5 M(f - fc)

Answer: Option C

Explanation:

It is a modulation process. The resultant has (f + fc) and (f - fc) terms.

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