Asymptotic throughput analysis of multiuser diversity

In this paper, we provide an asymptotic performance analysis of channel-aware packet scheduling based on extreme value theory. We first address the average throughput of systems with a homogeneous average signal-to-noise ratio (SNR) and obtain its asymptotic expression. Compared to the exact throughput expression, the asymptotic one, which is applicable to a broader range of fading channels, is more concise and easier to get insights. The accuracy of the asymptotic results is confirmed by numerical simulation. Furthermore, we investigate the asymptotic average throughput of the normalized-SNR-based scheduling, which can provide fairness for a system with heterogeneous SNRs. The results show that the average throughput in this case is less than that in the homogeneous case with a power constraint.