How to understand the symbolic inverse fourier transform result?

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FastCar
FastCar 2020-11-22
评论： FastCar 2022-6-17
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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回答（1 个）

Swetha Polemoni
Swetha Polemoni 2020-11-29
Hi Fast Car,
This issue of working with ifourier has been brought to the notice of developers. They may investigate the matter further.
  2 个评论
FastCar
FastCar 2020-11-29
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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