mngeow
Newbie level 5
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.
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.