Limitation of the cost of coordination and contention among a large number of nodes calls for grant-free approaches, exploiting physical layer techniques to solve collisions. Successive Interference Cancellation (SIC) is becoming a key building block of multiple access channel receiver, in an effort to support massive Internet of Things (IoT). In this paper, we explore the large-scale performance of SIC in a theoretical framework. A general model of a SIC receiver is stated for a shared channel with $n$ transmitters. The asymptotic sum-rate performance is characterized as $n \rightarrow \infty$, for a suitably scaled target Signal to Noise Interference Ratio (SNIR). The probability distribution of the number of correctly decoded packets is shown to tend to a deterministic distribution asymptotically for large values of $n$. The asymptotic analysis is carried out for any probability distribution of the wireless channel gain, assuming that the average received power level is same for all nodes, through power control.

翻译：大量节点间协调与竞争的成本限制催生了免授权方法，利用物理层技术解决碰撞问题。逐次干扰消除（SIC）正成为多址接入信道接收机的关键构建模块，以支持大规模物联网（IoT）。本文在理论框架下探索了SIC的大规模性能。针对一个共享信道中的$n$个发射机，建立了SIC接收机的通用模型。在目标信干噪比（SNIR）适当缩放的情况下，刻画了$n \rightarrow \infty$时的渐近和速率性能。结果表明，正确解码数据包数量的概率分布在$n$较大时渐近趋于确定性分布。该渐近分析适用于任意无线信道增益概率分布，假设所有节点通过功率控制达到相同平均接收功率水平。