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Mixture Lognormal Approximations to Lognormal Sum Distributions

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4 Author(s)
Liu, Z. ; Univ. of Moncton, Moncton ; Almhana, J. ; Wang, F. ; McGorman, R.

In wireless communication, co-channel interference is usually characterized by a sum of lognormal random variables. Since calculating the exact distribution of a lognormal sum has a lot of challenges, lognormal distributions are often used to approximate lognormal sum distributions. However, it has been shown that lognormal approximations can only capture a certain part of the body of a lognormal sum distribution, which implies that to accurately approximate a lognormal sum distribution, one has to resort to non-lognormal approximations. In this paper we propose to use a two-component mixture lognormal model to approximate lognormal sum distributions. Numerical examples are provided to compare the proposed mixture lognormal approximation with the existing ones.

Published in:

Communications Letters, IEEE  (Volume:11 ,  Issue: 9 )