Inverse Fourier Transform: Frequency to time domain

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!

Answer 1

[Ameer Hamza]

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);