Fourier Transform Confusion

  • Thread starter engcon
  • Start date
12
0
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? :frown:

Any help is appreciated, thanks!
 
7
0
yeah i have the same problem here!
 

cristo

Staff Emeritus
Science Advisor
8,056
72
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.

yeah i have the same problem here!
Your user-name is very similar to the OP's. Coincidence?
 
7
0
yes i did it

i used: Fcosine = 2*int (1-t) cos (wt) dt from 0 to1
 
7
0
yep it is coincidence..i don't know the OP's username k
 

Related Threads for: Fourier Transform Confusion

  • Last Post
Replies
7
Views
702
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
5
Views
708
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
4
Views
2K
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
10
Views
2K
  • Last Post
Replies
8
Views
1K

Hot Threads

Top