Minimum outage transmission over fading channels with delay constraint

We consider a block flat fading channel, where both the transmitter and receiver have perfect knowledge of the channel gain of the current block, but have no knowledge of future blocks. For a delay constraint of K blocks, and a target rate R₀, we derive the optimum power adaptation strategy that would minimize the probability of outage, which is equivalent to finding the outage capacity. Both, short term and long term power constraints are considered. Significant power gains are afforded by the strategy for all SNRs, even for small K