Question

A signal m(t) is multiplied by a sinusoidal waveform of frequency fc such that

v(t)=m(t) cos 2πfct

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: (c).0.5 M(f + fc) + 0.5 M(f - fc)

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

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