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Signals and Systems - Engineering

Q1:

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)

ANS:C - 0.5 M(f + fc) + 0.5 M(f - fc)

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