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The Meta Distributions of the SIR/SNR and Data Rate in Coexisting Sub-6GHz and Millimeter-Wave Cellular Networks
IEEE Open Journal of the Communications Society Pub Date : 2020-08-18 , DOI: 10.1109/ojcoms.2020.3017216
Hazem Ibrahim , Hina Tabassum , Uyen Trang Nguyen

Using stochastic geometry tools, we develop a systematic framework to characterize the meta distributions of the downlink SIR/SNR and data rate of the typical device in a cellular network with coexisting sub-6GHz and millimeter wave (mm-wave) spectrums. Macro base-stations (MBSs) transmit on sub-6GHz channels (which we term “microwave” channels), whereas small base-stations (SBSs) communicate with devices on mm-wave channels. The SBSs are connected to MBSs via a microwave ( $\mu $ wave) wireless backhaul. The $\mu $ wave channels are interference limited and mm-wave channels are noise limited; therefore, we have the meta distribution of SIR and SNR in $\mu $ wave and mm-wave channels, respectively. To model the line-of-sight (LOS) nature of mm-wave channels, we use Nakagami-m fading model. To derive the meta distribution of SIR/SNR, we characterize the conditional success probability (CSP) (or equivalently reliability) and its $b^{\mathrm {th}}$ moment for the typical device (a) when it associates to a $\mu $ wave MBS for direct transmission, and (b) when it associates to a mm-wave SBS for dual-hop transmission (backhaul and access transmission). Performance metrics such as the mean and variance of the local delay (network jitter), mean of the CSP (coverage probability), and variance of the CSP are derived. Closed-form expressions are presented for special scenarios. The extensions of the developed framework to the $\mu $ wave-only network or mm-wave only networks where SBSs have mm-wave backhauls are discussed. Numerical results validate the analytical results. Insights are extracted related to the reliability, coverage probability, and latency of the considered network.

中文翻译:

低于6GHz和毫米波蜂窝网络共存的SIR / SNR和数据速率的元分布

使用随机几何工具,我们开发了一个系统框架,以表征具有6GHz以下和毫米波(mm-wave)频谱共存的蜂窝网络中典型设备的下行链路SIR / SNR的元分布和数据速率。宏基站(MBS)在6 GHz以下的信道(我们称为“微波”信道)上传输,而小型基站(SBS)与毫米波信道上的设备进行通信。SBS通过微波连接到MBS( $ \亩$ 波)无线回传。的 $ \亩$ 波通道受干扰限制,毫米波通道受噪声限制;因此,我们具有SIR和SNR的元分布 $ \亩$ 波和毫米波通道。为了模拟毫米波信道的视线(LOS)性质,我们使用Nakagami-m衰落模型。为了得出SIR / SNR的元分布,我们描述了条件成功概率(CSP)(或等效可靠性)及其特征 $ b ^ {\ mathrm {th}} $ 典型设备(a)与某个设备关联的时刻 $ \亩$ 波MBS 直接 (b)与毫米波SBS相关联以用于 双跳传输(回程和接入传输)。得出性能指标,例如本地延迟的平均值和方差(网络抖动),CSP的平均值(覆盖概率)和CSP的方差。针对特殊情况,提供了封闭形式的表达式。已开发框架的扩展 $ \亩$ 讨论了SBS具有毫米波回程的纯波网络或仅毫米波网络。数值结果验证了分析结果。提取与所考虑网络的可靠性,覆盖率和延迟有关的见解。
更新日期:2020-09-15
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