Analytical and Closed-Form Expressions for the Distribution of Path Loss in Hexagonal Cellular Networks
Analytical and Closed-Form Expressions for the Distribution of Path Loss in Hexagonal Cellular Networks
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DOI：
10.1007/s11277-010-9962-2
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发表时间：
2011-10
影响因子：
2.2
通讯作者：
K. Baltzis
中科院分区：
文献类型：
--
作者：
K. Baltzis
开发预测无线系统中路径损耗的模型是值得的，因为它们提供了有价值的信息，而不需要昂贵且耗时的测量。在蜂窝系统的建模和仿真中，路径损耗计算中的一个常见假设是蜂窝的圆形。然而，尽管这种方法很简单，但它也有一定的缺点。本文提出了一种考虑六边形单元的替代方法。给出了路径损耗统计量的精确解析和近似闭合表达式。讨论了圆胞近似的有效性。模拟结果和与文献中测量数据的比较验证了公式的准确性。最后，我们研究了小区大小和传播介质特性对路径损耗的影响。推导出的表达式简化了无线网络的分析和系统级仿真。与其他方法相比，当采用六角形单元时，它们在计算路径损耗方面给出了更准确的结果。
The development of models that predict path loss in a wireless system is worthwhile since they offer valuable information without the need of expensive and time consuming measurements. In the modeling and simulation of cellular systems, a common assumption in path loss calculation is the circular shape of the cells. However, despite its simplicity, this approach has certain drawbacks. This paper proposes an alternative method that considers hexagonal-shaped cells. Exact analytical and approximate closed-form expressions for the path loss statistics are derived. The validity of the circular cell approximation is discussed. Simulated results and comparisons with measurement data in the literature validate the accuracy of the formulation. Finally, we investigate the impact of the size of the cells and the characteristics of the propagation medium on the path loss. The derived expressions simplify the analysis and system-level simulation of wireless networks. Compared to other methods, they give more accurate results in the calculation of path loss when hexagonal-shaped cells are employed.