On the Optimal Number of Active Receivers in Fading Broadcast Channels
Hengameh Keshavarz, Liang‐Liang Xie, Ravi R. Mazumdar · IEEE Transactions on Information Theory · 2008
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)/Rminwith probability approaching 1, where P is the total transmit power.