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An Optimal Lognormal Approximation to Lognormal Sum Distributions

IEEE Transactions on Vehicular Technology, 2004
Sums of lognormal random variables occur in many problems in wireless communications because signal shadowing is well modeled by the lognormal distribution. The lognormal sum distribution is not known in the closed form and is difficult to compute numerically.
Norman C Beaulieu
exaly   +2 more sources

Approximating Lognormal Sum Distributions With Power Lognormal Distributions

IEEE Transactions on Vehicular Technology, 2008
In wireless communications, cochannel interference is usually characterized by a sum of lognormal random variables. Since the characteristic function of a lognormal distribution lacks explicit expression, and numerical calculation of a lognormal sum distribution is very challenging, lognormal distributions are often used to approximate lognormal sum ...
J Almhana
exaly   +2 more sources

Mixture Lognormal Approximations to Lognormal Sum Distributions

IEEE Communications Letters, 2007
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.
J Almhana
exaly   +2 more sources

Lognormal and Mixed Gaussian–Lognormal Kalman Filters

Monthly Weather Review, 2023
Abstract In this paper we present the derivation of two new forms of the Kalman filter equations; the first is for a pure lognormally distributed random variable, while the second set of Kalman filter equations will be for a combination of Gaussian and lognormally distributed random variables.
Steven J. Fletcher   +8 more
openaire   +1 more source

Lognormal Mixture Shadowing

IEEE Transactions on Vehicular Technology, 2015
Modeling the variations in the local mean received power, the shadow fading is a relatively understudied effect in the literature. The inaccuracy of the universally accepted lognormal model is shown in many works. However, proposing other statistical distributions, such as gamma, which are not stemmed from the natural underlying physical process ...
Saliha Buyukcorak   +2 more
openaire   +2 more sources

On the Capacity of FSO Links under Lognormal and Rician-Lognormal Turbulences

2014 IEEE 80th Vehicular Technology Conference (VTC2014-Fall), 2014
A unified capacity analysis under weak and composite turbulences of a free-space optical (FSO) link that accounts for pointing errors and both types of detection techniques (i.e. intensity modulation/direct detection as well as heterodyne detection) is addressed in this work.
Imran Shafique Ansari   +2 more
openaire   +1 more source

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