On the Stability Regions of Coded Poisson Receivers with Multiple Classes of Users and Receivers
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arXiv
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| Format: | Preprint |
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2021
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| _version_ | 1866916845700775936 |
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| author | Chang, Chia-Ming Lin, Yi-Jheng Chang, Cheng-Shang Lee, Duan-Shin |
| author_facet | Chang, Chia-Ming Lin, Yi-Jheng Chang, Cheng-Shang Lee, Duan-Shin |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2107_10696 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | On the Stability Regions of Coded Poisson Receivers with Multiple Classes of Users and Receivers Chang, Chia-Ming Lin, Yi-Jheng Chang, Cheng-Shang Lee, Duan-Shin Networking and Internet Architecture Information Theory 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. |
| title | On the Stability Regions of Coded Poisson Receivers with Multiple Classes of Users and Receivers |
| topic | Networking and Internet Architecture Information Theory |
| url | https://arxiv.org/abs/2107.10696 |