Discrete location-dependent power control in wireless clustered ad hoc networks

A discrete power control scheme based on the locations of receivers is proposed in a wireless clustered ad hoc network. Transmitters in the network form a homogeneous Poisson point process (PPP) on the plane ℝ², and each of them has a random number of receivers that are distributed in a cluster with N tessellated layers. There are N discrete transmit powers used by each transmitter and which power is used depends on which layer the desired receiver is located in a cluster. The outage probabilities for receivers at different layers are derived. The optimal power control scheme of maximizing the redefined transmission capacity (TC) in our setting is found and it has the effect of balancing the spatial throughput achieved by receivers at all layers such that throughput fairness among receivers is achieved. Simulation results show that the proposed discrete power control significantly improves TC and outperforms other previous power control schemes in a Poisson-distributed wireless ad hoc network.