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Optimization of primary exclusive region in spatial grid-based spectrum database using stochastic Geometry

机译：基于随机几何的空间网格光谱数据库中主要排他区域的优化

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In database-driven spectrum sharing for 5G mobile networks, a primary user (PU) may experience harmful interference caused by unpredictable propagation paths, even when secondary users (SUs) follow a spectrum sharing policy established on the basis of a database. A framework for determining the optimal radius of a circular primary exclusive region (PER) on the basis of SU's information has been proposed. However, a practical PER can be complex-shaped and should be designed on the basis of the directivity of the PU antenna, and the SU information in each region. In this paper, we present a stochastic geometry analysis in a spatial grid-based spectrum database, and propose a design for an optimal complex-shaped PER. The database determines the transmission probability of the SUs on each divided annular sector. By regarding the SU's locations on each annular sector as an inhomogeneous Poisson point process, we analytically derive a PU's outage probability (OP), where the PU's OP is defined as the probability that the aggregate interference power at a PU from the SUs exceeds a threshold. Using the derived expression, we formulate an optimization problem to maximize the number of transmitting SUs, which optimizes the SU's transmission probability on each annular sector. Then, we numerically evaluate the solution of the optimization problem in various scenarios. The results show that the accuracy of the PER improves as the grid size decreases. In addition, we successfully design a complex-shaped PER with holes in which the SUs are permitted to transmit.
机译：在5G移动网络的数据库驱动频谱共享中，主要用户（PU）可能会遇到不可预测的传播路径造成的有害干扰，即使次要用户（SU）遵循基于数据库建立的频谱共享策略也是如此。已经提出了用于基于SU的信息确定圆形主要排他区域（PER）的最佳半径的框架。但是，实际的PER可能是复杂的形状，应根据PU天线的方向性和每个区域中的SU信息进行设计。在本文中，我们提出了基于空间网格的频谱数据库中的随机几何分析，并提出了一种优化的复杂形状PER的设计。该数据库确定SU在每个分割的环形扇区上的传输概率。通过将SU在每个环形扇区上的位置视为不均匀的Poisson点过程，我们可以分析得出PU的中断概率（OP），其中PU的OP定义为来自SU的PU上的总干扰功率超过阈值的概率。使用推导的表达式，我们制定了一个优化问题，以最大化发送SU的数量，从而优化SU在每个环形扇区上的发送概率。然后，我们在各种情况下对优化问题的解决方案进行数值评估。结果表明，PER的精度随着网格尺寸的减小而提高。此外，我们成功设计了带有孔的复杂形状的PER，SU可以在其中穿孔。

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