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Erschienen in:
01.11.2016
Effects of shadowing on the number of active users in random multi-user channels
Erschienen in: Wireless Networks | Ausgabe 8/2016
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Abstract
Prior work has addressed the effects of multipath fading and path loss separately for broadcast and multiple-access channels. It has been shown that the number of simultaneously active users are of the order \(\Theta (\ln (\ln (n)))\) for random channel gains with exponentially-decaying tails, where n is the total number of users. Furthermore, it has been shown that assuming path loss is dominant and ignoring multipath fading, the user capacity (i.e. the maximum number of simultaneously active users in a wireless system) of multi-user channels is of the order \(\Theta (\ln (n))\) when the users are spatially distributed on the plane with a Gaussian or Uniform distribution. In this paper, we study the shadowing effects on the number of active users for broadcast and multiple-access channels in which the users are randomly distributed on the plane. It is shown that as the total number of users in the multi-user channel goes to infinity, the number of active users is of the order \(\Theta (\sqrt{\ln (n)}).\)