On the Optimal Number of Active Receivers in Fading Broadcast Channels

Authors:
H. Keshavarz;Liang-Liang Xie;R. R. Mazumdar
Affiliations:
Dept. of Electr. & Comput. Eng., Univ. of Waterloo, Waterloo, ON;-;-
Venue:
IEEE Transactions on Information Theory
Year:
2008

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Abstract

For broadcast channels, a power allocation scheme is proposed to maximize the number of active receivers, for each of which, a minimum rate Rmin > 0 can be achieved. Under the assumption of independent Rayleigh-fading channels for different receivers, as the total number of receivers n goes to infinity, the maximum number of active receivers is shown to be arbitrarily close to ln(Pln n)/Rmin with probability approaching 1, where P is the total transmit power.