How to get an inverse fourier transform of a experimental frequency domain signal?

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I just use digital processing signal punctually and right know I need a just simple thing.

I have an IFR in time domain that magnitude and phase are known and the angular frequency as well. I mean, I just know:

w = w0:dw:wf;
H(jw) = modH.*exp(j.*argH)

Applying the inverse Fourier transform, I get the IRF in time domain h(t) that I know that is non-causal. How can I obtain h(t) in MATLAB with a correct time axis?

In advanced, I appreciate any help!

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