Erik,
You do it via Wiener deconvolution. I'll put together an example and an explanation. I've never done a decon in the frequency domain using what is traditionally a time domain operation. So it will take careful thought.
The Wiener inverse is fiddly. You have to add white noise to the zero lag value of the autocorrelation to pre-whiten the spectrum or it will blow up badly. I've got a file folder showing the effects of different levels of pre-whitening from a grad school project.
Have Fun!
Reg
