Power Allocation with Outage Probability Constraints in Lognormal Fading Wireless Channels: A Relaxation Approach

This paper concerns stochastic power allocation in lognormal fading wireless channels. We consider an outage-based quality of service (QoS) specification which requires that, for each transmitter/receiver pair, the outage probability is kept below a given level. We show that the problem of finding a minimal power allocation to achieve this QoS goal over log-normal fading wireless channels (with statistically independent fadings) can be relaxed as a posynomial program, which can be furthered solved by the very efficient interior-point method.