A Fast Coordinate Descent Algorithm Improving both Coverage and Capacity in Cellular Networks

Wei An, Yaxi Liu, W. Huangfu
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Abstract

It is an essential task for mobile operators to extend the coverage and improve the capacity by adjusting the radio parameters in cellular networks, especially in self-organizing networks. In the existing algorithm, the decoration of target local performance is neglected, which severely deteriorates the algorithm efficiency. In this paper, we propose a hierarchy-induced coordinate descent algorithm, which focuses on the local decoration of the target function to solve the coverage and capacity optimization problems by obtaining the optimal antenna tilt and azimuth settings in cellular networks. Such algorithm alternatively executes the optimization step decision where the original complex constrained optimization problem is converted into a non-constrained simple one with the penalty term and the optimization variable selection that balances the influences of the hierarchy and the distance according to different system parameter settings. Besides, in the optimization step decision mentioned above, we adopt the non-linear interpolation to obtain the optimal optimization direction and its corresponding length.
一种提高蜂窝网络覆盖和容量的快速坐标下降算法
在蜂窝网络中,特别是自组织网络中,通过调整无线参数来扩大覆盖范围和提高容量是移动运营商面临的重要任务。现有算法忽略了对目标局部性能的修饰,严重降低了算法效率。本文提出了一种层次诱导的坐标下降算法,该算法通过对目标函数进行局部修饰,通过获得蜂窝网络中最优的天线倾角和方位角设置来解决覆盖和容量优化问题。该算法交替执行优化步骤决策,将原来复杂的约束优化问题转化为无约束的简单问题,并根据不同的系统参数设置设置惩罚项和平衡层次和距离影响的优化变量选择。此外,在上述优化步长决策中,我们采用非线性插值来获得最优的优化方向及其对应的长度。
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