Random Power Control in Poisson Networks
This paper studies power control strategies in interference-limited wireless networks with Poisson distributed nodes. The authors concentrate on two sets of strategies: Single-Node Optimal Power Control (SNOPC) strategies and Nash Equilibrium Power Control (NEPC) strategies. SNOPC strategies maximize the expected throughput of the power controllable link given that all the other transmitters do not use power control. Under NEPC strategies, no individual node of the network can achieve a higher expected throughput by unilaterally deviating from these strategies. This paper shows that under mean and peak power constraints at each transmitter, the SNOPC and NEPC strategies are ALOHA-type random on-off power control policies, whose transmit powers and transmit probabilities depends on the knowledge about the network at each transmitter.