# Fourier Transform Confusion

1. Jan 4, 2007

### engcon

Hi, I got a problem in which I have to find the Fourier Transform of a function f(t) defined:

f(t) = { 1 - |t|, |t| < 1
0, |t| > 1 }

Well , I found the Fourier transform by working out the integral f(t)e^(-iwt) with the limits being -inf to +inf (and I got the right answer).

Now, since f(t) is an even function, does that mean I can use the Fourier cosine transform?

I tried to work it out and got a different answer, and basically I'm confused?

Any help is appreciated, thanks!

2. Jan 4, 2007

### eng_pro

yeah i have the same problem here!

3. Jan 4, 2007

### cristo

Staff Emeritus
Yes, the function is even, and so you can use the Fourier cosine transform. However, since you've not posted your solution, I can't see why you're getting a different answer.

Your user-name is very similar to the OP's. Coincidence?

4. Jan 4, 2007

### eng_pro

yes i did it

i used: Fcosine = 2*int (1-t) cos (wt) dt from 0 to1

5. Jan 4, 2007

### eng_pro

yep it is coincidence..i don't know the OP's username k