The statistical average carrier-to-interference ratio (CIR) of an ad hoc CSMA/CA wireless network providing multiple service-classes

This work characterizes the statistically expected carrier-to-interference ratio (CIR, C/R) of an ad hoc CSMA/CA wireless communication network, via Monte Carlo simulations. This paper is first in the open literature to model an ad hoc network accounting for all these following factors: (1) more realistic modeling of the network nodes´ spatial distribution us via a two-dimensional Poisson process, whereby the network nodes are randomly placed arbitrarily on a two-dimensional plane (instead of the nodes locating deterministically at regularly spaced grid points), (2) suppression of nodes within the carrier-sensing range of a transmitting node, to micmac the CSMA/CA medium access control (MAC) protocol (i.e. a node would self-restrain from transmission if close to a transmitting node), (3) microscopic Rayleigh fading, (4) propagation-distance-dependent path-loss, and (5) more than one service class. Monte Carlo simulations of a CSMA/CA ad hoc network generate the CIR data, whose statistical expected value and dependence on node´s spatial Poisson intensity and relative power level are investigated.