User Capacity Scaling Laws For Fading Broadcast Channels Affected By Channel Estimation

It has already been shown that in rate-constrained broadcast channels, under the assumption of independentrayleigh, rician and nakagami fading channels for different receivers, the user capacity (i.e. the maximum numberof users that can be activated simultaneously) scales double logarithmically with the total number of users. however,to achieve the aforementioned result, it is assumed that channel state information (csi) is perfectly known to thereceivers. in practical situations, the receivers do not have access to the true csi and they only know estimatedchannels. in this paper, the effects of channel estimation is analyzed on the user capacity of rate-constrained broadcastchannels. in particular, the minimum mean square error (mmse) channel estimation scheme is considered andthe effects of this estimation method on the user capacity is investigated. under the assumption of commonly usedfading channels for different receivers, it is shown that the user capacity still scales double logarithmically; however,there is a gap depending on channel estimators accuracy between the upper and lower bound of the user capacity.the bound will be asymptotically tight if the variance of the channel estimator remains constant.