IEEE Communications Letters
IEEE Transactions on Communications
On the capacity of log-normal fading channels
IEEE Transactions on Communications
A tight closed-form approximation of the log-normal fading channel capacity
IEEE Transactions on Wireless Communications
Spectrum allocation in tiered cellular networks
IEEE Transactions on Communications
On the statistics of signal-to-interference plus noise ratio in wireless communications
IEEE Transactions on Communications
Exponential effective SINR approximations for OFDM/OFDMA-based cellular system planning
IEEE Transactions on Wireless Communications
IEEE Transactions on Communications
An accurate model for interference from spatially distributed shadowed users in CDMA uplinks
GLOBECOM'09 Proceedings of the 28th IEEE conference on Global telecommunications
Cooperative spectrum sensing over correlated log-normal sensing and reporting channels
GLOBECOM'09 Proceedings of the 28th IEEE conference on Global telecommunications
Numerical computation of the lognormal sum distribution
GLOBECOM'09 Proceedings of the 28th IEEE conference on Global telecommunications
Interference and deployment issues for cognitive radio systems in shadowing environments
ICC'09 Proceedings of the 2009 IEEE international conference on Communications
IEEE Transactions on Communications
Low complexity receivers for coherent amplify-and-forward cooperative systems
IEEE Transactions on Communications
Moment-matched lognormal modeling of uplink interference with power control and cell selection
IEEE Transactions on Wireless Communications
On the effect of correlation on the performance of dual diversity receivers in lognormal fading
IEEE Communications Letters
A semianalytical PDF of downlink SINR for femtocell networks
EURASIP Journal on Wireless Communications and Networking - Special issue on femtocell networks
Efficient OFDM-based WLAN-multicast with feedback aggregation, power control and rate adaptation
Computer Communications
Wireless Personal Communications: An International Journal
Wireless Personal Communications: An International Journal
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A simple, novel, and general method is presented in this paper for approximating the sum of independent or arbitrarily correlated lognormal random variables (RV) by a single lognormal RV. The method is also shown to be applicable for approximating the sum of lognormal-Rice and Suzuki RVs by a single lognormal RV. A sum consisting of a mixture of the above distributions can also be easily handled. The method uses the moment generating function (MGF) as a tool in the approximation and does so without the extremely precise numerical computations at a large number of points that were required by the previously proposed methods in the literature. Unlike popular approximation methods such as the Fenton-Wilkinson method and the Schwartz-Yeh method, which have their own respective short-comings, the proposed method provides the parametric flexibility to accurately approximate different portions of the lognormal sum distribution. The accuracy of the method is measured both visually, as has been done in the literature, as well as quantitatively, using curve-fitting metrics. An upper bound on the sensitivity of the method is also provided.