  The article obtains large deviation asymptotic for sub-critical communication
networks modelled as signal-interference-noise-ratio(SINR) random networks. To
achieve this, we define the empirical power measure and the empirical
connectivity measure, as well as prove joint large deviation principles(LDPs)
for the two empirical measures on two different scales. Using the joint LDPs,
we prove an Asymptotic equipartition property(AEP) for wireless
telecommunication Networks modelled as the subcritical SINR random networks.
Further, we prove a Local Large deviation principle(LLDP) for the sub-critical
SINR random network. From the LLDPs, we prove the large deviation principle,
and a classical McMillan Theorem for the stochastic SINR model processes. Note
that, the LDPs for the empirical measures of this stochastic SINR random
network model were derived on spaces of measures equipped with the $\tau-$
topology, and the LLDPs were deduced in the space of SINR model process without
any topological limitations. We motivate the study by describing a possible
anomaly detection test for SINR random networks.
