The Power Spectral Measure

Abstracts

The notion of power spectral measure for wide-sense stationary point processes is a natural extension of the analogous notion for wide-sense stationary stochastic processes, the Bochner spectral measure. In this chapter, particular attention will be paid to the power spectra of complex signals based on point processes such as those arising in communications in the presence of reflections for instance. The main result with respect to this goal is a simple universal formula from which a number of specific power spectra can be obtained at little expense.