Markov chains for modeling and analyzing digital data signals

Digital data transmission signals may be considered as some specific stochastic process controlled by a Markov chain. Briefly going into the presentation and evaluation of the power density spectra (PDS) of such processes, one of our major concerns deals with the computational effort. By some special grouping among the employed signal elements and a corresponding partitioning of the controlling transition matrix, the formula for the desired PDS can be simplified to an Euclidean vector norm expression. By means of several PDS graphs the relevance of such an analysis to evaluate or design real transmission systems may be appreciated.