临界通信网络经验SINR测度的大偏差原理
Large Deviation Principle for Empirical SINR Measure of Critical Telecommunication Networks
摘要：
对于\emph{ powered Poisson process}，我们定义\emph{Signal-to-Interference-plus-Noise Ratio}（SINR），并且将该SINR网络定义为电信网络。定义了一类电信网络的经验测度（\emph{empirical powered measure}，\emph{empirical link measure}和\emph{empirical sinr measure}）.对于这类电信网络，我们证明了电信网络的经验测度的联合大偏差原理。我们所有的速率函数都用相对熵表示。
英文摘要：
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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