Interference in Large Wireless Networks
Foundations and Trends® in Networking
Stochastic Geometry and Wireless Networks: Volume II Applications
Foundations and Trends® in Networking
Tradeoff power control for cellular systems
GLOBECOM'09 Proceedings of the 28th IEEE conference on Global telecommunications
An overview of the transmission capacity of wireless networks
IEEE Transactions on Communications
Spectrum sharing between wireless networks
IEEE/ACM Transactions on Networking (TON)
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We consider a new approach to power control in decentralized wireless networks, termed fractional power control (FPC). Transmission power is chosen as the current channel quality raised to an exponent -s, where s is a constant between 0 and 1. The choices s = 1 and s = 0 correspond to the familiar cases of channel inversion and constant power transmission, respectively. Choosing s isin (0,1) allows all intermediate policies between these two extremes to be evaluated, and we see that usually neither extreme is ideal. We derive closed-form approximations for the outage probability relative to a target SINR in a decentralized (ad hoc or unlicensed) network as well as for the resulting transmission capacity, which is the number of users/m2 that can achieve this SINR on average. Using these approximations, which are quite accurate over typical system parameter values, we prove that using an exponent of s* = 1/2 minimizes the outage probability, meaning that the inverse square root of the channel strength is a sensible transmit power scaling for networks with a relatively low density of interferers. We also show numerically that this choice of s is robust to a wide range of variations in the network parameters. Intuitively, s* = 1/2 balances between helping disadvantaged users while making sure they do not flood the network with interference.