On the discrete spectral densities of Markov pulse trains

General formulae and existence criteria are derived for the discrete power spectral densities of first-order Markov pulse trains, viz., infinite pulse trains in which each pulse corresponds to one member of a finite set of specified waveforms and depends statistically on the previous pulse alone. These results are obtained through a distribution theoretic decomposition of the spectral formulation given for such pulse trains by Huggins and Zadeh.