Takahashi, Yuhei and Fukui, Daiki and Song, Guanghui and Kimura, Tomotaka and Liu, Zilong and Cheng, Jun (2026) Irregular Repetition Slotted ALOHA with Multi-Antenna Reception over Rayleigh Block Fading Channels. In: 2026 IEEE International Symposium on Information Theory (ISIT), 2026-06-28 - 2026-07-03, Guangzhou, China. (In Press)
Takahashi, Yuhei and Fukui, Daiki and Song, Guanghui and Kimura, Tomotaka and Liu, Zilong and Cheng, Jun (2026) Irregular Repetition Slotted ALOHA with Multi-Antenna Reception over Rayleigh Block Fading Channels. In: 2026 IEEE International Symposium on Information Theory (ISIT), 2026-06-28 - 2026-07-03, Guangzhou, China. (In Press)
Takahashi, Yuhei and Fukui, Daiki and Song, Guanghui and Kimura, Tomotaka and Liu, Zilong and Cheng, Jun (2026) Irregular Repetition Slotted ALOHA with Multi-Antenna Reception over Rayleigh Block Fading Channels. In: 2026 IEEE International Symposium on Information Theory (ISIT), 2026-06-28 - 2026-07-03, Guangzhou, China. (In Press)
Abstract
We study irregular repetition slotted ALOHA (IRSA) with multi-antenna reception over Rayleigh block fading channels. An exact closed-form expression for the average decoding error probability ¯ϵm,L is derived for collision sizes m = 1 and m = 2 by applying the inclusion–exclusion principle, which generalizes known single-antenna results and remains valid for any finite number of antennas. Using this result, we develop a density-evolution-based analysis of multi-antenna IR-SA systems and characterize belief-propagation (BP) thresholds. Numerical results for the corresponding maximum a posteriori (MAP) decoding thresholds and converse bounds are also presented, demonstrating threshold saturation with spatial coupling.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Additional Information: | Published proceedings: _not provided_ |
| Uncontrolled Keywords: | Belief propagation threshold; irregular repetition slotted ALOHA; multi-antenna reception; random access; Rayleigh fading; successive interference cancellation |
| Subjects: | Z Bibliography. Library Science. Information Resources > ZR Rights Retention |
| Divisions: | Faculty of Science and Health Faculty of Science and Health > Computer Science and Electronic Engineering, School of |
| SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
| Depositing User: | Unnamed user with email elements@essex.ac.uk |
| Date Deposited: | 14 Apr 2026 16:31 |
| Last Modified: | 14 Apr 2026 16:32 |
| URI: | http://repository.essex.ac.uk/id/eprint/43123 |
Available files
Filename: Final_Submission__ISIT_Takahashi_Irregular_Repetition_Slotted_ALOHA_with_Multi_Antenna.pdf
Licence: Creative Commons: Attribution 4.0