# Fourier Transform using Modulation

1. Sep 17, 2011

### Apple&Orange

1. The problem statement, all variables and given/known data

Find the Fourier Transforms

f1(t) = $\frac{2}{3-it}$

f2(t) = $\frac{2}{3-it}$cos(t)

2. Relevant equations

F{H(t)et} = $\frac{-1}{-1-it}$

F{f(t)cos($\omega$t)} = $\frac{1}{2}$[F($\omega$+$\omega$0+F($\omega$-$\omega$0)]

3. The attempt at a solution

For the first question, my answer was 4*pi*H(-$\omega$)e3$\omega$ from using the first eqaution F{H(t)et} = $\frac{-1}{-1-it}$ and using symmetry

From there, I don't know how I would use the second equation to answer the second question.

Last edited: Sep 17, 2011