Large Deviation Principle for Empirical SINR Measure of Critical Telecommunication Networks

Enoch Sakyi-Yeboah; Charles Kwofie; Kwabena Doku-Amponsah

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arXiv · 2005.05165

Large Deviation Principle for Empirical SINR Measure of Critical Telecommunication Networks

Enoch Sakyi-Yeboah·Charles Kwofie·Kwabena Doku-Amponsah

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Abstract

For a \emph{ powered Poisson process}, we define \emph{Signal-to-Interference-plus-Noise Ratio}(SINR) and thesinr network as a Telecommunication Network. We define the Empirical Measures (\emph{empirical powered measure}, \emph{empirical link measure} and \emph{empirical sinr measure}) of a class of Telecommunication Networks. For this class of Telecommunication Network we prove a joint large deviation principle for the empirical measures of the Telecommunication Networks. All our rate functions are expressed in terms of relative entropies.

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Enoch Sakyi-Yeboah, Charles Kwofie, Kwabena Doku-Amponsah. 2020-05-11. Large Deviation Principle for Empirical SINR Measure of Critical Telecommunication Networks. https://arxiv.org/abs/2005.05165

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