Title :
Generalized Moment Matching for the Linear Combination of Lognormal RVs - Application to Outage Analysis in Wireless Systems
Author :
Pratesi, M. ; Santucci, F. ; Graziosi, F.
Author_Institution :
Dept. of Electr. Eng., L´´Aquila Univ.
Abstract :
Moving from the need for a simple and versatile method for outage computation in various contexts of interest in wireless communications, in this paper we propose a lognormal approximation for the linear combination of a set of lognormal random variables (RV) with one-sided random weights. The approximation is based on a generalization of the well known moment matching approximation (MMA) for the sum of lognormal RVs, and it allows quite simple handling of the power sum of interfering signals even in rather complicated scenarios. Specifically, composite multiplicative channel models with unequal parameters can be handled, and generic (unequal) correlation patterns for some channel components can be handled with reference to any pair of signals. At this stage of the computation, only moments of the random weights are required. The probability density function of the random weight for the useful signal component may be required in computing outage probability, and numerical methods may be only required to solve a single integral at this second stage. The suitability of the approximation is examined by evaluating outage performance for various values of system parameters in the context of interest of composite Nakagami-lognormal channels in reuse-based systems
Keywords :
Nakagami channels; approximation theory; correlation methods; probability; radiofrequency interference; Nakagami-lognormal channels; channel models; correlation patterns; generalized moment matching; interfering signals; lognormal RV; moment matching approximation; outage probability; probability density function; reuse-based systems; signal component; wireless systems; Context; Fading; Land mobile radio; Mobile communication; Multiple access interference; Narrowband; Probability; Shadow mapping; Statistics; Wireless communication;
Conference_Titel :
Personal, Indoor and Mobile Radio Communications, 2006 IEEE 17th International Symposium on
Conference_Location :
Helsinki
Print_ISBN :
1-4244-0329-4
Electronic_ISBN :
1-4244-0330-8
DOI :
10.1109/PIMRC.2006.254250