Several methods have been proposed to approximate the sum of correlated lognormal RVs.However the accuracy of each method relies highly on the region of the resulting distributionbeing examined, and the individual lognormal parameters, i.e., mean and variance. There is nosuch method which can provide the needed accuracy for all cases. This paper propose auniversal yet very simple approximation method for the sum of correlated lognormals based onlog skew normal approximation. The main contribution on this work is to propose an analyticalmethod for log skew normal parameters estimation. The proposed method provides highlyaccurate approximation to the sum of correlated lognormal distributions over the whole rangeof dB spreads for any correlation coefficient. Simulation results show that our methodoutperforms all previously proposed methods and provides an accuracy within 0.01 dB for allcases.
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