Having trouble with the following finding the fourier integral representation for the following:

f(t) = te^-|t|

Ive got answer but I need verfication

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- May 28th 2008, 02:27 AMtaltasFourier integral representation
Having trouble with the following finding the fourier integral representation for the following:

f(t) = te^-|t|

Ive got answer but I need verfication - May 28th 2008, 05:45 AMmr fantastic
- May 28th 2008, 09:54 AMbcvw85
I've been working on a similar problem myself, i've plotted the graph in MATLAB and see that it is an odd function, equating all A terms to 0.

I'm having trouble doing the integral of t*exp(-abs(t))sin(wt) thought. Any help would be greatly appreciated!! - May 28th 2008, 11:45 AMCaptainBlack
You will have to sort out the constants and a few other things yourself, but we are interested in:

Split the integral into two parts:

in the second integral change the variable :

Now the second integral is minus the complex conjugate of the first so we can write:

and the integral inside the rightmost brackets can be done by parts.

RonL