## Optimal Power Control in Interference Limited Fading Wireless Channels with Outage Probability SpecificationsS. Kandukuri and S. Boyd
We propose a new method of power control for interference limited wireless
networks with Rayleigh fading of both the desired and interference signals. Our
method explicitly takes into account the statistical variation of both the
received signal and interference power, and optimally allocates power subject
to constraints on the probability of fading induced outage for each
transmitter/receiver pair. We establish several results for this type of
problem. For the case in which the only constraints are those on the outage
probabilities, we give a fast iterative method for finding the optimal power
allocation. We establish tight bounds that relate the outage probability to an
easily computed signal-to-interference margin, when statistical variation of
the signal and interference powers are ignored. This allows us to show that
well-known methods for allocating power, based on Perron-Frobenius eigenvalue
theory, can be used to determine power allocations that are provably close to
achieving optimal ( |