On the Optimal Number of Active Receivers in Fading Broadcast Channels

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(P ln n)/Rmin with probability approaching 1, where P is the total transmit power.

• Type: Journal
• Year: 2008
• Where: TIT
• Authors: Hengameh Keshavarz, Liang-Liang Xie, Ravi R. Mazumdar
• Keywords: Active Receivers, Minimum Rate Rmin, Power Allocation Scheme, TIT 2008