This paper gives a literature review of detection theory and information theory in the Poisson regime, where the channel model is a Poisson point process whose instantaneous rate is controlled by the input. I. Communication under the Poisson Regime In the semi-classical model of photodetection, the output of the photodetector (e.g. a p-i-n diode) is the superposition of two independent Poisson ...

We show that a Poisson cluster point process is a nearest-neighbour Markov point process 2] if the clusters have uniformly bounded diameter. It is typically not a nite-range Markov point process in the sense of Ripley and Kelly 12]. Furthermore, when the parent Poisson process is replaced by a Markov or nearest-neighbour Markov point process, the resulting cluster process is also nearest-neighb...

The prototype Texture Analyser at Fontainebleau permits very swift simulations of many random processes, be they point processes or random set processes .We shall illustrate, with some examples of general processes, the possibilities of this apparatus. Three kinds of processes are presented here:-The Poisson point process-Cluster Processes ("shooting" scheme)-Hard-Core processes (repulsion mode...

We introduce an analytical model of the influence of paralyzable dead time on registered photon-correlation functions. Distortions of correlation functions in the case of the Poisson point process, the doubly stochastic Poisson point process, and the pairwise point process are calculated. The model permits the analysis of detection systems with constant and random dead times. The results of the...

the use of stokes boundary values problems for the determination of the geoid requires that gravity anomalies (as boundary values) are known on geoid (as boundary). while, the gravity observations are measured on the earth's surface, to obtain boundary data, the surface gravity anomalies does are downward from the terrain onto geoid. for downward continuation (dwc) of surface gravity anoma...

We construct explicitly a bridge process whose distribution, in its own filtration, is the same as the difference of two independent Poisson processes with the same intensity and its time 1 value satisfies a specific constraint. This construction allows us to show the existence of Glosten-Milgrom equilibrium and its associated optimal trading strategy for the insider. In the equilibrium the ins...