Loss performance model for wireless channels with autocorrelated arrivals and losses

In this paper we firstly propose simple and computationally efficient wireless channel modeling algorithm that explicitly takes into account firstand second-order statistics of frame error observations. For this purpose we use discrete-time Markov modulated processes with at most single event (error) at any time slot. We then adopt the special solution of the inverse eigenvalue problem initially proposed in [1] and show that its complexity significantly decreases when the time series is covariance stationary binary in nature. Then, we identify a class of priority queuing systems of G+G/GI/1/K type capable to model the frame transmission process over wireless channels with correlated arrival and loss processes. Using the proposed frame error process, performance evaluation model of the wireless channel at the datalink layer is then reduced to the spacial case of ∑ iD-BMAPi/D/1/K queuing system with non-preemptive priority discipline. The proposed queuing representation allows to capture forward error correlation (FEC) and automatic ∗Dmitri Moltchanov, e-mail: [email protected], tel.: +358 331154709, Fax: +358 331154988 1 repeat request (ARQ) functionality of the data-link layer as well as distributional and autocorrelational properties of the frame arrival and frame loss processes. This model is further analyzed for a number of performance parameters of interest including probability function of the number of frames in the system and probability function of the number of lost frames. It is shown that the channel response in terms of the mean number of frames in the buffer and the mean number of lost frames varies substantially for different firstand second-order frame error and arrival statistics. This impact of statistics is also different for normal (ρ < 1) and overloaded conditions (ρ ≥ 1) of ∑iD-BMAPi/D/1/K queuing system.