Sensitivity and Asymptotic Analysis of Inter-Cell Interference Against Pricing for Multi-Antenna Base Stations

We thoroughly investigate the downlink beamforming problem of a two-tier network in a reversed time-division duplex system, where the interference leakage from a tier-2 base station (BS) toward nearby uplink tier-1 BSs is controlled through pricing. We show that soft interference control through the pricing mechanism does not undermine the ability to regulate interference leakage while giving flexibility to sharing the spectrum. Then, we analyze and demonstrate how the interference leakage is related to the variations of both the interference prices and the power budget. Moreover, we derive a closed-form expression for the interference leakage in an asymptotic case, where both the charging BSs and the charged BS are equipped with a large number of antennas, which provides further insights into the lowest possible interference leakage that can be achieved by the pricing mechanism.

我们深入研究了反向时分双工系统中双层网络的下行链路波束成形问题，在该系统中，通过定价控制二级基站（BS）对附近一级上行链路基站的干扰泄漏。我们表明，通过定价机制进行的软干扰控制在给予频谱共享灵活性的同时，不会削弱调节干扰泄漏的能力。然后，我们分析并展示了干扰泄漏如何与干扰价格和功率预算的变化相关。此外，我们推导出了一种渐近情况下干扰泄漏的闭式表达式，在这种情况下，收费基站和被收费基站都配备了大量天线，这进一步深入了解了定价机制可实现的最低可能干扰泄漏。