arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1104.1745cs.ITmath.IT
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随机数用户的多用户分集

Multi-User Diversity with Random Number of Users

Adarsh B. Narasimhamurthy, Cihan Tepedelenlioglu, Yuan Zhang

摘要:

当系统中的用户数是随机的时,考虑多用户分集。建立了出错率作为用户数(确定性)函数的完全单调性,并证明了在任意平均信噪比下,用户数的随机化总是导致系统平均性能的恶化。此外,使用随机排序理论,不同的用户分布的系统性能的比较框架。对于泊松分布的用户,在出错率的随机和确定性的用户数的情况下的差异示出渐近接近零的平均用户数趋于无穷大的任何固定的平均SNR。相反,对于有限的平均用户数和高信噪比,它被发现,用户数量的随机化显着恶化的性能,和衰落下的分集阶数是由最小可能的用户数占主导地位。对于在瑞利衰落信道上通信的泊松分布用户,进一步给出了平均出错率的封闭形式结果,并给出了遍历容量的渐近缩放定律.仿真结果证实了我们的分析结果。

英文摘要:

Multi-user diversity is considered when the number of users in the system is random. The complete monotonicity of the error rate as a function of the (deterministic) number of users is established and it is proved that randomization of the number of users always leads to deterioration of average system performance at any average SNR. Further, using stochastic ordering theory, a framework for comparison of system performance for different user distributions is provided. For Poisson distributed users, the difference in error rate of the random and deterministic number of users cases is shown to asymptotically approach zero as the average number of users goes to infinity for any fixed average SNR. In contrast, for a finite average number of users and high SNR, it is found that randomization of the number of users deteriorates performance significantly, and the diversity order under fading is dominated by the smallest possible number of users. For Poisson distributed users communicating over Rayleigh faded channels, further closed-form results are provided for average error rate, and the asymptotic scaling law for ergodic capacity is also provided. Simulation results are provided to corroborate our analytical findings.

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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