Some Useful Distributions and Probabilities for Cellular Networks

Details Some Useful Distributions and Probabilities for Cellular Networks Some Useful Distributions and Probabilities for Cellular Networks

2011-09-14

arxiv.org/abs/1109.2992v1

Computer Science

Networking and Internet Architecture

7 pages, 6 figures, conference

Scientific paper

The cellular network is one of the most useful networks for wireless communications and now universally used. There have been a lot of analytic results about the performance of the mobile user at a specific location such as the cell center or edge. On the other hand, there have been few analytic results about the performance of the mobile user at an arbitrary location. Moreover, to the best of our knowledge, there is no analytic result on the performance of the mobile user at an arbitrary location considering the mobile user density. In this paper, we use the stochastic geometry approach and derive useful distributions and probabilities for cellular networks. Using those, we analyze the performance of the mobile user, e.g., outage probability at an arbitrary location considering the mobile user density. Under some assumptions, those can be expressed by closed form formulas. Our analytic results will provide a fundamental framework for the performance analysis of cellular networks, which will significantly reduce the burden of network-level simulations.

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