IEEE Signal Processing Letters · 2009 · 47 citations · 10 references
EngineeringElectrical EngineeringMathematicsOptimizationProbability TheoryWireless CommunicationsChannel EstimationInterference ManagementOptimization Under UncertaintyStochastic OptimizationWireless Channel ModelingWireless NetworksChance-constrained OptimizationGaussian DistributionsInterferenceInterference ModelingPower AllocationPower Management StrategiesStochastic Channel ModelingWorst-case Optimization
<para xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> We consider a downlink wireless system with a multi-antenna base station (BS) and single-antenna users. The error in the channel knowledge at the BS is assumed to have Gaussian distribution. Power allocation strategies are designed in order to satisfy the users' quality-of-service targets with certain probabilities. Conservative solutions of the problems are found by applying the Vysochanskii–Petunin inequality in combination with the theory of interference functions. Significant performance improvements are obtained comparing with methods based on the worst-case optimization. </para>
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Continuous Univariate Distributions.
Yasuhiro Omori, Norman L. Johnson, S. Kotz et al. · Journal of the American Statistical Association · 1995 · 9.3K citations