Abstract:In this paper, we consider a Cox point process driven by the Manhattan Poisson line process. We calculate the exact cumulative distribution function (CDF) of the path distance (L1 norm) between a randomly selected intersection and the k-th nearest node of the Cox process. The CDF is expressed as a sum over the integer partition function p(k), which allows us to numerically evaluate the CDF in a simple manner for practical values of k. These distance distributions can be used to study the k-coverage of broadcas… Show more
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