MATLAB: Output of inverse fourier command not giving expected result in MATLAB

digital signal processingimage processingmathematicsMATLABsignal

I am reading book of alex palamides chapter 6 fourier transform and i am trying to compute inverse transform of a function but when i write the code of book in MATLAB,i do not get expected answer(as written in book)
Snapshot of book attached and output of inverse fourier command is highlighted(it contains heaviside term)
but when i write same code in my MATLAB , i get answer = (exp(-t)*(sign(t) + 1))/2
my code is as follow:
clc
clear all
syms w t
X=1/(1+j*w);
ifourier(X,t)
Capture.PNG

Best Answer

The expressions are equivalent when you use the definition that Heaviside at 0 is 1/2 (there is more than one way to define Heaviside(0))
You might be to use the rewrite() 'heaviside'
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