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Coverage probability analysis of three uplink power control schemes: Stochastic geometry approach

机译：三种上行链路功率控制方案的覆盖概率分析：随机几何方法

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In cellular networks, each mobile station adjusts its power level under control of its base station, i.e., through uplink transmit power control, which is essential to reach desired signal-to-interference-plus-noise ratio (SINR) at the base station and to limit inter-cell interference. The optimal levels of transmit power in a network depend on path loss, shadowing, and multipath fading, as well as the network configuration. However, since path loss is distance dependent and the cell association distances are correlated due to the cell association policies, the performance analysis of the uplink transmit power control is very complicated. Consequently, the impact of a specific power control algorithm on network performance is hard to quantify. In this paper, we analyze three uplink transmit power control schemes. We assume the standard power-law path loss and composite Rayleigh-lognormal fading. Using stochastic geometry tools, we derive the cumulative distribution function and the probability density function of the uplink transmit power and the resulting network coverage probability. It is shown that the coverage is highly dependent on the severity of shadowing, the power control scheme, and its parameters, but invariant of the density of deployment of base stations when the shadowing is mild and power control is fractional. At low SINRs, compensation of both path loss and shadowing improves the coverage. However, at high SINRs, compensating for path loss only improves coverage. Increase in the severity of shadowing significantly reduces the coverage.
机译：在蜂窝网络中，每个移动台都在其基站的控制下，即通过上行链路发射功率控制，来调整其功率电平，这对于在基站和基站上达到所需的信干噪比（SINR）至关重要。限制小区间干扰。网络中的最佳发射功率水平取决于路径损耗，阴影和多径衰落以及网络配置。但是，由于路径损耗是与距离相关的，并且由于小区关联策略，因此小区关联距离相关，因此上行链路发送功率控制的性能分析非常复杂。因此，难以量化特定功率控制算法对网络性能的影响。在本文中，我们分析了三种上行链路发射功率控制方案。我们假设标准的幂律路径损耗和复合瑞利对数正态衰落。使用随机几何工具，我们可以得出上行链路发射功率的累积分布函数和概率密度函数，以及得出的网络覆盖概率。结果表明，覆盖范围高度依赖于阴影的严重性，功率控制方案及其参数，但是当阴影较轻且功率控制为零时，基站的部署密度不变。在低SINR时，对路径损耗和阴影的补偿可改善覆盖范围。但是，在高SINR时，补偿路径损耗只会提高覆盖范围。阴影严重性的增加会大大降低覆盖率。

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