Understanding Fourier Transforms: Solving Confusion with Even Functions

[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!

 

[eng_pro]

yeah i have the same problem here!

 

[cristo]

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?

 

[eng_pro]

yes i did it

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

 

[eng_pro]

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