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How to understand the symbolic inverse fourier transform result?

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FastCar
FastCar on 22 Nov 2020
Commented: FastCar on 29 Nov 2020
Dear all,
I need to perform a symbolic inverse fourier transformate. I tried the following
syms alpha lambda n positive %alpha, lambda and n are real positive variables
syms w vc real %w and vc are real variables
PSD = (alpha/(alpha+1)*dirac(w)+1/(alpha+1)*n*sin(pi/n)/(2*pi*vc)*1/(1+(abs(w)/vc)^n))
ifourier(PSD)
and I got as result
(alpha/(alpha + 1) + (n*sin(pi/n)*(fourier(heaviside(w)/((w/vc)^n + 1), w, -x) + fourier(heaviside(-w)/((-w/vc)^n + 1), w, -x)))/(2*vc*pi*(alpha + 1)))/(2*pi)
but I am not able to understand the part
fourier(heaviside(w)/((w/vc)^n + 1), w, -x)
what does it mean?
Many thanks

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Answers (1)

Swetha Polemoni
Swetha Polemoni on 29 Nov 2020
Hi Fast Car,
This issue of working with ifourier has been brought to the notice of developers. They may investigate the matter further.

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FastCar
FastCar on 29 Nov 2020
Ok, many thanks. I do not know why your previous answer and my comment are not visible anymore. If you can, please keep me posted.
Many thanks
Fast car

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