Performance analysis of the ranging process in fixed and mobile broadband wireless access systems based on OFDMA

In this letter, we consider a ranging procedure occurred in broadband wireless access systems based on the Wireless MAN-OFDMA (Metropolitan Area Network -Orthogonal Frequency Division Multiple Access). The ranging collision may be occurred when multiple subscribers select the same ranging codes from the given ranging code pool and range the BS by transmitting those identical ranging codes at the same time frame. We propose a mathematical performance model to analyze the probability of ranging collision affected by both the capacity of the ranging code pool and the rate of the MSS arriving to the system and investigate the numerical results of the proposed model. By the proposed model and its numerical results, we can estimate the capacity of ranging code pool to be necessary to BS(Base Station). We compare the analytical results with the simulated results to validate the proposed mathematical model is correct.