Abstract
The recent emergence of the cognitive radio standard IEEE 802.22 is finally empowering network operators with a new platform for their abundant services. Likewise previous wireless standards, where the modeling helped in a better understanding of the concepts and played an important role in extending the outreach of the technology and subsequent innovations, the modeling of IEEE 802.22 wireless regional area networks (WRANs) is a necessity. In this work, we accomplish this task using the theory of queues. To that end, we model the dynamics of each cognitive user, termed customer premises equipments (CPE) according to the standard terminology, with a 2-D Markov chain. Given this model, we show that a WRAN cell can be modeled as a Jackson network. We also find the probability mass function (PMF) and cumulative distribution function (CDF) of the CPE queue length, from which any higher moment can be derived. Notable is the fact that said PMF is expressed in an exact closed-form. In addition to the nodal analysis, a WRAN cell-level discussion is conducted by finding the stability condition and peer-to-peer delay. Moreover, we provide preliminary results on the resource allocation in WRANs, which is a very important area of focus and discovery for an efficient deployment and operation of future WRANs.
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