Indexed on: 27 Jun '12Published on: 27 Jun '12Published in: Wireless Personal Communications
A probabilistic method is developed here to model the beacon period length (BPL) defined in the ECMA-368 and ECMA-387 standards for the distributed reservation protocol. The model computes the probability mass function (PMF) of the BPL in a superframe which will be used in modeling of throughput, delay, fairness, power and other major distributed medium access control layer parameters of the emerging ultra wideband and 60- GHz millimeter wave wireless personal area networks. The model relates the PMF of the BPL to the network density, antenna beamwidth, and the transmission range of the devices assuming that the devices are distributed in an outdoor environment based on Two-dimensional Poisson distribution. The proposed model is evaluated by simulating different scenarios in the network and the results show that on average, the model for the average BPL has an absolute error of 1.57 %.