DocumentCode :
2422759
Title :
A new tractable model for cellular coverage
Author :
Andrews, Jeffrey G. ; Baccelli, François ; Ganti, Radha Krishna
Author_Institution :
Dept. of ECE, Univ. of Texas at Austin, Austin, TX, USA
fYear :
2010
fDate :
Sept. 29 2010-Oct. 1 2010
Firstpage :
1204
Lastpage :
1211
Abstract :
Cellular networks are usually modeled by placing the base stations according to a regular geometry such as a grid, with the mobile users scattered around the network either as a Poisson point process (i.e. uniform distribution) or deterministically. These models have been used extensively for cellular design and analysis but suffer from being both highly idealized and not very tractable. Thus, complex simulations are used to evaluate key metrics such as coverage probability for a specified target rate (equivalently, the outage probability) or average/sum rate. We develop general models for multi-cell signal-to-noise-plus-interference ratio (SINR) based on homogeneous Poisson point processes and derive the coverage probability, which is one minus the outage probability. Under very general assumptions, the resulting expressions for the SINR cumulative distribution function involve quickly computable integrals, and in some important special cases of practical interest these integrals can be simplified to common integrals (e.g., the Q-function) or even to exact and quite simple closed-form expressions. We compare our coverage predictions to the standard grid model and an actual base station deployment. We observe that the proposed model is pessimistic (a lower bound on coverage) whereas the grid model is optimistic. In addition to being more tractable, the proposed model may better capture the increasingly opportunistic and dense placement of base stations in urban cellular networks with highly variable coverage radii.
Keywords :
cellular radio; probability; stochastic processes; telecommunication network planning; Poisson point process; base station deployment; cellular coverage; coverage probability; cumulative distribution function; multi-cell signal-to-noise-plus-interference ratio; outage probability; standard grid model; tractable model; urban cellular networks; Base stations; Biological system modeling; Fading; Interference; Mobile communication; Signal to noise ratio;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Communication, Control, and Computing (Allerton), 2010 48th Annual Allerton Conference on
Conference_Location :
Allerton, IL
Print_ISBN :
978-1-4244-8215-3
Type :
conf
DOI :
10.1109/ALLERTON.2010.5707051
Filename :
5707051
Link To Document :
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