arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2406.07352cs.ITmath.ITmath.PR
收藏

智能反射面辅助的同构无线网络随机分析

Stochastic Analysis of Homogeneous Wireless Networks Assisted by Intelligent Reflecting Surfaces

Ali H. Abdollahi Bafghi, Mahtab Mirmohseni, Masoumeh Nasiri-Kenari, Behrouz Maham, Umberto Spagnolini

AI总结:

针对BS、用户与IRS均按独立同构PPP分布的无线网络,论文采用均匀随机服务策略并推导信号、干扰、容量及中断概率的解析界,揭示IRS密度提升会同时增强信号与干扰但降低中断概率。

摘要:

本文研究多个IRS(智能反射面)在同构无线网络中的存在所带来的影响;在该网络中,所有BS(基站)、用户(U)和IRS均按照独立的同构PPP(泊松点过程)在空间上分布,密度分别为$λ_{\ m BS}\ m{[BS/m^2]}$、$λ_{\ m U}\ m{[U/m^2]}$和$λ_{\ m IRS}\ m{[IRS/m^2]}$。我们对BS和IRS采用均匀随机服务策略,以在网络中形成随机对称性。我们分析网络性能,并研究IRS的存在对网络性能的影响。为此,针对系统中的一个典型用户,我们推导了期望信号功率(二阶统计矩)以及由BS和其他用户造成的干扰功率期望的解析上界和下界。随后,我们得到了典型用户期望信号功率与干扰功率概率衰减的解析上界(这给出了累积分布函数(CDF)的下界)。此外,我们推导了一个典型用户容量概率衰减的上界,由此得到中断概率的下界。在数值结果中,我们观察到期望信号功率和干扰功率的数值计算结果接近所推导出的下界,并表明参数${(λ_{\ m IRS})}$的增大会导致期望信号和干扰信号功率同时增大。我们还观察到,参数$λ_{\ m IRS}$的增大会导致中断概率降低。

英文摘要:

In this paper, we study the impact of the existence of multiple IRSs in a homogeneous wireless network, in which all BSs, users (U), and IRSs are spatially distributed by an independent homogeneous PPP, with density $λ_{\rm BS}\rm{[BS/m^2]}$, $λ_{\rm U}\rm{[U/m^2]}$, and $λ_{\rm IRS}\rm{[IRS/m^2]}$, respectively. We utilize a uniformly random serving strategy for BS and IRS to create stochastic symmetry in the network. We analyze the performance of the network and study the effect of the existence of the IRS on the network performance. To this end, for a typical user in the system, we derive analytical upper and lower bounds on the expectation of the power (second statistical moment) of the desired signal and the interference caused by BSs and other users. After that, we obtain analytical upper bounds on the decay of the probability of the power of the desired signal and the interference for the typical user (which results in a lower bound for the cumulative distribution function (CDF)). Moreover, we derive upper bounds on the decay of the probability of the capacity of one typical user, which results in a lower bound for the outage probability. In the numerical results, we observe that the numerical calculation of the power of the desired signal and the interference is near the derived lower bounds and we show that the increment of the parameter ${(λ_{\rm IRS})}$ causes increment in powers of both the desired and interference signals. We also observe that the increment of the parameter ${λ_{\rm IRS}}$ causes the decrement of outage probability.

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。

↑