Random power control in wireless ad hoc networks

In this letter, we present stochastic analysis of two power control schemes for wireless ad hoc networks: random-vs. fixed power controls. Using numerical examples, we show that randomizing transmit power has positive effect of reducing high interferences to the other nodes, and improves network connectivity, in high-density networks. However, the fixed power control is more favorable in low-density environments. In this letter, we derive a formula of such cross-over (density) point at which superiority of each power control is switched.