We demonstrate the use of Bayesian analysis methods for the extraction
of information from time-domain Voigt functions. In several forms of
time-domain spectroscopy the physically interesting spectrum consists
of a single exponentially decaying function. Often, however, this spec
trum is contaminated by the presence of a non-exponentially decaying '
'instrumental'' contribution. Here we demonstrate the use of Bayesian
analysis to extract the exponential term from a Voigt function in whic
h the instrumental contribution has been modeled by a Gaussian decay.
The extension to other instrumental contributions is straightforward.