How to understand the symbolic inverse fourier transform result?

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FastCar
FastCar el 22 de Nov. de 2020
Comentada: FastCar el 17 de Jun. de 2022
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

Respuestas (1)

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