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Analytical Modeling of Heterogeneous Cellular Networks by Sayandev Mukherjee

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3  Poisson point processes

This chapter will serve as a quick review of the essential results in the theory of Poisson point processes (PPPs) that we shall use for our analysis later in the book. However, we shall first take a step back and discuss point processes in general and their applicability to our wireless deployments of interest. Then we shall provide arguments in support of the use of Poisson point processes before summarizing the most important mathematical results. This chapter is not meant to be an exhaustive treatment of the theory of PPPs – for that, see Kingman (1993). The principal theorems will be quoted with citations only to appropriate references, but heuristic arguments will be provided to help the reader understand them. ...

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