Asymptotic throughput analysis for channel-aware scheduling

In this paper, we provide an asymptotic performance analysis of channel-aware packet scheduling based on the 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 with the exact throughput expression, the asymptotic one, which is applicable to a broader range of fading channels, is more concise and easier from which to get insights. Furthermore, we confirm the accuracy of the asymptotic results by theoretical analysis and numerical simulation. For a system with heterogeneous SNRs, normalized-SNR-based scheduling needs to be used for fairness. We also investigate the asymptotic average throughput of the normalized-SNR-based scheduling, and prove that the average throughput in this case is less than that in the homogeneous case with a power constraint