Problems with Fourier Transform

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mngeow

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Hi , I'm having problems with this fourier transform question from school.

If the Fourier transform of v(t) is V (f), show that the Fourier transform of e(j2ft) * v(t) is V (f − f0).

I know that the fourier transform of e(j2ft) is d(f-nfo) , where d(f-nfo) is a unit impulse centered at -fo Hz. I also know that V(f) = ∫-∞ v(t)e-(j2ft) dt. Where V(f) is the fourier transform of v(t) , and n = 1. Equating both of the equations together , I'd get the result d(f-nfo) * V(f).

I'm kinda stuck at this point.
 

Hi, multiplication in time domain is equivalent of convolution in frequency domain.so you need calculate each part in frequency domain and then convolve them.any way I think your result of primary question is wrong.
Regards
 

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