Inverse Fourier Transform: Frequency to time domain

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I want to obtain the scale of time after doing an ifft.
let I have
w=0:0.001:20 % w represents frequency
E(w)= a(w)exp(i(w-w0))
I want to obtain E(t) by E(t)=ifft(E(w))..
My question is what is the time scale representaion to get the time profile of E(t)?
Kindly help!

Accepted Answer

Ameer Hamza
Ameer Hamza on 13 Oct 2020
If 'w'
w = 0:0.001:20
is frequency of complete fft in rad/s. Then the sampling frequency is
Fs = (w(2)-w(1))*numel(w)/(2*pi); % sampling frequency
Ts = 1/Fs; % sampling time-step
and the corresponding time vector is
t2 = Ts*(0:numel(f)-1);

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