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One- and two-dimensional ad hoc wireless networks with uniformly distributed (static) nodes and networks with nodes which move according to the random waypoint mobility model are considered. The inter-distance distributions between any two nodes within these networks are obtained. The network connectivity is considered and the minimum transmission range is derived. The bit error rate performance is then analytically evaluated in the connected regions of the networks taking into account the effect of path loss and Nakagami- m or Rician fading. It is shown that increasing the number of users increases the network connectivity, decreases the minimum transmission range, and improves the performance. It is also shown that node mobility enhances the network connectivity and performance.
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Farhadi et al. (2006) studied this question.