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

arXiv: https://arxiv.org/abs/2107.10696 · HTML: https://mlsanity.com/paper/2107.10696/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 22 Jul 2021.

## Built on by (most cited first, 1 of 1)

- [A Mathematical Theory for Learning Semantic Languages by Abstract Learners](https://mlsanity.com/paper/2404.07009/) (2024)

## Abstract (arXiv)

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 ε-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.