Communication Network Theory

Transformations of Poisson Streams and Their Application to Communication Systems

A. D. Vainshtein, A. Ya. Kreinin


Abstract: We study the correlation properties of a sequence of transformations of a Poisson stream. The jth transformation changes the coordinate $x_i(j)$ of the point $i$ according to $x_i(j =x_i(j-1)+S_{ij}$, $j\geq 1$, where $S_{ij}$ are jointly independent positive random variables exponentially distributed with the parameter $\mu_j$, $x_i(0)$ is the initial coordinate of the point $i$.

UDC: 621.391.1:519.28

Received: 12.09.1984
Revised: 11.11.1985

 English version: Problems of Information Transmission, 1986, 22:4, 326–334

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