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How FFT workks? (analytical example)
*To*: mathgroup at smc.vnet.net
*Subject*: [mg127424] How FFT workks? (analytical example)
*From*: juan miguel <juanmixp at gmail.com>
*Date*: Mon, 23 Jul 2012 19:56:32 -0400 (EDT)
*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com
*Delivered-to*: mathgroup-newout@smc.vnet.net
*Delivered-to*: mathgroup-newsend@smc.vnet.net
First of all, thanks for reading my post.
Well, the problem is the next one:
I have to make an Inverse Fast Fourier Transfrom of a function, but I'm not sure how it works. To do this, I have used a function whose Inverse Fourier Transform is analytical
-G
f(w)= -------
w+iG/2
So the analytical solution can be easily calculated:
Assuming[G > 0,InverseFourierTransform[f[w], w, t]]
and the solution is:
i Exp(-t G /2)Sqrt(2*pi)G*HeavisideTheta[t]
And now I can Plot this function (the imaginary part)
Well, what I want is to get exactly the same result using the subrutine Fast Fourier Transfrom (InverseFourier) with that function, but I do not know how to this.
It is very important for me, because the function that I have to use has not analytical solution and I have to be sure about what I am doing
Thanks
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