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arXiv 2209.14767cs.ITmath.IT
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时相关瑞利衰落信道下HARQ-IR的分析

Analysis of HARQ-IR over Time-Correlated Rayleigh Fading Channels

Zheng Shi, Haichuan Ding, Shaodan Ma, Kam-Weng Tam

摘要:

本文研究了混合自动重传请求与增量冗余(HARQ-IR)在瑞利衰落信道下的性能。与以往的分析不同,本文考虑了信道的时间相关性。在时间相关的衰落信道下,多个HARQ传输中的互信息是相关的,使得分析具有挑战性。利用多项式拟合技术,导出了累积互信息的概率分布函数。三个有意义的性能指标,包括中断概率,平均传输次数和长期平均吞吐量(LTAT),然后推导出封闭形式。此外,HARQ-IR的分集阶数也进行了研究。证明了通过HARQ-IR可以实现全分集,即,即使在时间相关的衰落信道下,分集阶数也等于传输次数。这些分析结果通过仿真验证,并使各种系统参数对性能的影响的评估。特别地,结果揭示了时间相关性对中断和吞吐量性能的负面影响。结果还表明,虽然更多的传输将提高中断性能,他们可能不会有利于LTAT时,时间相关性高。最后讨论了最大化LTAT的最优速率设计,并证明了LTAT的显著改善。

英文摘要:

In this paper, performance of hybrid automatic repeat request with incremental redundancy (HARQ-IR) over Rayleigh fading channels is investigated. Different from prior analysis, time correlation in the channels is considered. Under time-correlated fading channels, the mutual information in multiple HARQ transmissions is correlated, making the analysis challenging. By using polynomial fitting technique, probability distribution function of the accumulated mutual information is derived. Three meaningful performance metrics including outage probability, average number of transmissions and long term average throughput (LTAT) are then derived in closed-forms. Moreover, diversity order of HARQ-IR is also investigated. It is proved that full diversity can be achieved by HARQ-IR, i.e., the diversity order is equal to the number of transmissions, even under time-correlated fading channels. These analytical results are verified by simulations and enable the evaluation of the impact of various system parameters on the performance. Particularly, the results unveil the negative impact of time correlation on the outage and throughput performance. The results also show that although more transmissions would improve the outage performance, they may not be beneficial to the LTAT when time correlation is high. Optimal rate design to maximize the LTAT is finally discussed and significant LTAT improvement is demonstrated.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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