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接入方法，其利用物理层技术解决冲突问题。为支持大规模物联网（IoT）应用，连续干扰消除（SIC）正逐渐成为多址接入信道接收机的关键组成部分。本文在理论框架下探讨SIC的大规模性能。针对具有$n$个发射机的共享信道，建立了SIC接收机的通用模型。在适当缩放目标信噪干扰比（SNIR）的条件下，刻画了当$n \rightarrow \infty$时的渐近和速率性能。研究表明，当$n$值较大时，正确解码数据包数量的概率分布渐近收敛于确定性分布。该渐近分析适用于无线信道增益的任意概率分布，并假设通过功率控制使所有节点的平均接收功率水平保持一致。