Effects of spatial receiver distributions on the user capacity of broadcast channels

In this paper, a broadcast channel is considered in which receivers are randomly distributed on the plane. It is assumed that the x and y coordinates of receivers positions are Gaussian-distributed random variables with the same variance. Hence, the distance between each transmitter–receiver pair an...

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Bibliographic Details
Published in:International journal of electronics and communications 2014-01, Vol.68 (1), p.79-83
Main Authors: Etminan, Jalil, Keshavarz, Hengameh
Format: Article
Language:English
Subjects:
Broadcast channels
Minimum-rate constraint
Path loss
Power allocation
User capacity
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Summary:In this paper, a broadcast channel is considered in which receivers are randomly distributed on the plane. It is assumed that the x and y coordinates of receivers positions are Gaussian-distributed random variables with the same variance. Hence, the distance between each transmitter–receiver pair and consequently, the path loss term is random. It is shown that as the total number of receivers, n, in the broadcast channel goes to infinity, the maximum number of active receivers (i.e. user capacity) scales with (α/Rmin)lnbn where b=(RminP1/α)/(ασ2). Convergence of numerical results to the theoretical bounds in practical situations and the user capacity dependency on system parameters are shown in simulations results.
ISSN:1434-8411
1618-0399
DOI:10.1016/j.aeue.2013.09.002