How to understand the symbolic inverse fourier transform result?

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FastCar
FastCar 2020년 11월 22일
댓글: FastCar 2022년 6월 17일
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

답변 (1개)

Swetha Polemoni
Swetha Polemoni 2020년 11월 29일
Hi Fast Car,
This issue of working with ifourier has been brought to the notice of developers. They may investigate the matter further.
  댓글 수: 2
FastCar
FastCar 2020년 11월 29일
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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