Inverse Fourier transform of unilateral exponential function - ifourier MATLAB

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Hi everyone. How can I get the inverse Fourier tranform of unilateral exponential? I tried with the following code:
close all
clear all
syms t f
a=sym('a','positive');
y=ifourier(1/(a + pi*f*2i),t)
the result is Y=(exp(-(a*t)/(2*pi))*(sign(t) + 1))/(4*pi). Instead I'd like to get Y=exp(-a*t)*heaviside(t).
Thank you for your time.

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