- #1
thedean515
- 11
- 0
Homework Statement
I'd like to prove a F/T pair and to confim if they are correct.
s(t) = A Sin[w0 t] * rect[t/T - T/2] ... (1)
it's Fourier transform is
S(f) = exp(-j w T)*T/2*A* {Sinc[(w+w0)T/2/Pi] + Sinc[(w-w0)T/2/Pi]} ...(2)
where rect is rectangular function
Homework Equations
I can prove rect[t/T] -> T Sinc[Pi f T]
The Attempt at a Solution
I tried to use mathematica, but it didn't give me as good results as (2)
Somebody can prove it?