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Poisson Receivers: A Probabilistic Framework for Analyzing Coded Random Access
IEEE/ACM Transactions on Networking ( IF 3.7 ) Pub Date : 2021-01-22 , DOI: 10.1109/tnet.2021.3050485
Che-Hao Yu , Lin Huang , Cheng-Shang Chang , Duan-Shin Lee

In this article, we develop a probabilistic framework for analyzing coded random access. Our framework is based on a new abstract receiver (decoder), called a Poisson receiver, that is characterized by a success probability function of a tagged packet subject to a Poisson offered load. We show that various coded slotted ALOHA (CSA) systems are Poisson receivers. Moreover, Poisson receivers have two elegant closure properties: (i) Poisson receivers with packet routing are still Poisson receivers, and (ii) Poisson receivers with packet coding are still Poisson receivers. These two closure properties enable us to use smaller Poisson receivers as building blocks for analyzing a larger Poisson receiver. As such, we can analyze complicated systems that are not possible by the classical tree evaluation method. In particular, for CSA systems with both spatial diversity and temporal diversity, we can use the framework of Poisson receivers to compute the exact (asymptotic) throughput. We demonstrate that our framework can be used to provide differentiated services between ultra-reliable low-latency communication (URLLC) traffic and enhanced mobile broadband (eMBB) traffic. By conducting extensive simulations, we also verify that our theoretical results match extremely well with the simulation results.

中文翻译:

泊松接收器:用于分析编码随机访问的概率框架

在本文中,我们开发了一个用于分析编码随机访问的概率框架。我们的框架基于称为Poisson接收器的新抽象接收器(解码器),其特征在于受Poisson提供的负载的带标记数据包的成功概率函数。我们证明了各种编码时隙ALOHA(CSA)系统都是泊松接收器。此外,泊松接收器具有两种优雅的闭合特性:(i)泊松接收器具有分组路由 仍然是泊松接收器,并且(ii)泊松接收器具有 分组编码仍然是泊松接收器。这两个封闭属性使我们能够使用较小的Poisson接收器作为分析较大Poisson接收器的基础。这样,我们可以分析经典树评估方法无法实现的复杂系统。特别是,对于同时具有空间分集和时间分集的CSA系统,我们可以使用泊松接收器的框架来计算精确的(渐近)吞吐量。我们证明我们框架可用于在超可靠的低延迟通信(URLLC)流量和增强型移动宽带(eMBB)流量之间提供差异化​​服务。通过进行广泛的仿真,我们还验证了我们的理论结果与仿真结果非常匹配。
更新日期:2021-01-22
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