On the Stability Regions of Coded Poisson Receivers with Multiple Classes of Users and Receivers

Abstract

Motivated by the need to provide differentiated quality-of-service (QoS) in grant-free uplink transmissions in 5G networks and beyond, we extend the probabilistic analysis of coded Poisson receivers (CPR) to the setting with multiple classes of users and receivers. For such a CPR system, we prove (under certain technical conditions) that there is a region, called the stability region in this paper. Each transmitted packet can be successfully received with probability 1 when the offered load to the system is within the stability region. On the other hand, if the offered load is outside the stability region, there is a nonzero probability that a packet will fail to be received. We then extend the stability region to the $\epsilon$-stability region for CPR systems with decoding errors. We also demonstrate the capability of providing differentiated QoS in such CPR systems by comparing the stability regions under various parameter settings.

arXiv comment15 pages, 7 figures

References in corpus (5)

• Spatially-Coupled Random Access on Graphs
• Exploiting Capture Effect in Frameless ALOHA for Massive Wireless Random Access
• Graph-Based Random Access for the Collision Channel without Feedback: Capacity Bound
• Poisson Receivers: a Probabilistic Framework for Analyzing Coded Random Access
• ALOHA Receivers: a Network Calculus Approach for Analyzing Coded Multiple Access with SIC

Cited by in corpus (2)

• ALOHA Receivers: a Network Calculus Approach for Analyzing Coded Multiple Access with SIC
• A Mathematical Theory for Learning Semantic Languages by Abstract Learners