Average SIR estimation in cellular networks with best server policy

The evaluation of the Signal to Interference Ratio (SIR) in cellular networks is of primary importance for network dimensioning. For static studies, which evaluate cell capacity and coverage, as well as for dynamic studies, which consider arrivals and departures of mobile stations (MS), the SIR is always an important input. Contrary to most of the analytical works evaluating SIR, we assume in this paper that the MS is attached to the best server, i.e., to the base station (BS) from which it receives the highest power. This is a policy that is more realistic than the classical assumption that considers MSs to be attached to the nearest BS. The exact formulation of the SIR is however in this case uneasy to handle and numerical methods remain heavy. In this paper, we thus propose an approximate analytical study based on truncated lognormal distributions that provides very close results to Monte Carlo simulations.

[1]  Tjeng Thiang Tjhung,et al.  Distribution of SIR and BER performance of DS-CDMA systems in lognormally shadowed Rician channels , 1998, 1988 IEEE 5th International Symposium on Spread Spectrum Techniques and Applications - Proceedings. Spread Technology to Africa (Cat. No.98TH8333).

[2]  Andrew J. Viterbi,et al.  Other-cell interference in cellular power-controlled CDMA , 1994, IEEE Trans. Commun..

[3]  Marceau Coupechoux,et al.  Spatial Outage Probability for Cellular Networks , 2007, IEEE GLOBECOM 2007 - IEEE Global Telecommunications Conference.

[4]  A. G. Williamson,et al.  Other-cell interference in CDMA systems , 2004 .

[5]  Marceau Coupechoux,et al.  Effect of shadowing on outage probability in fluid cellular radio networks , 2008, 2008 6th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks and Workshops.

[6]  Thomas Mathew,et al.  Confidence intervals for limited moments and truncated moments in normal and lognormal models , 2009 .

[7]  A. Viterbi CDMA: Principles of Spread Spectrum Communication , 1995 .

[8]  Marceau Coupechoux,et al.  Effect of shadowing on outage probability in fluid cellular radio networks , 2008, WiOpt 2008.

[9]  Tjeng Thiang Tjhung,et al.  Distribution of SIR and performance of DS-CDMA systems in lognormally shadowed Rician channels , 2000, IEEE Trans. Veh. Technol..

[10]  Gordon L. Stuber,et al.  Principles of Mobile Communication , 1996 .

[11]  Marceau Coupechoux,et al.  Impact of Topology and Shadowing on the Outage Probability of Cellular Networks , 2009, 2009 IEEE International Conference on Communications.

[12]  S. S. Kolahi Other cells interferences of power controlled CDMA systems , 2002, 2002 IEEE International Conference on Personal Wireless Communications.

[13]  Stephen V. Hanly,et al.  Calculating the outage probability in a CDMA network with spatial Poisson traffic , 2001, IEEE Trans. Veh. Technol..