# Fourier transformation

1. Jan 30, 2014

### nikki92

1. The problem statement, all variables and given/known data
x(t) = 5cos(2*pi*1000*t) and g(t) = ∑ from n=-infinity to infinity delta(t-n/10000)

find fourier transform of x(t) and g(t) and the product of the two

3. The attempt at a solution

x(w) = 5*sqrt(pi/2) [delta(w-2000pi)+delta(w+2000pi)]

g(w) = 1

so would the product of the two just be the x(w) ?

2. Jan 31, 2014

### vela

Staff Emeritus
$G(\omega)$ isn't equal to 1. That's the Fourier transform of a single delta function. You have a train of delta functions.