This paper introduces a new stochastic geometry-based model to analyze the Request-to-Send/Clear-to-Send (RTS/CTS) handshake mechanism in wireless local area networks (WLANs). We develop an advanced hard-core point process model, termed the dual-zone hard-core process (DZHCP), which extends traditional hard-core models to capture the spatial interactions and exclusion effects introduced by the RTS/CTS mechanism. This model integrates key parameters accounting for the thinning effects imposed by RTS/CTS, enabling a refined characterization of active transmitters in the network. Analytical expressions are derived for the intensity of the DZHCP, the mean interference, and an approximation of the success probability, providing insight into how network performance depends on critical design parameters. Our results provide better estimates of interference levels and success probability, which could inform strategies for better interference management and improved performance in future WLAN designs.

翻译：本文提出了一种基于随机几何的新型随机模型，用于分析无线局域网中的请求发送/允许发送握手机制。我们构建了一种称为双区硬核过程的先进硬核点过程模型，该模型扩展了传统硬核模型，以捕捉RTS/CTS机制引入的空间交互与排斥效应。该模型整合了关键参数，用以刻画RTS/CTS机制所产生的稀释效应，从而实现对网络中活跃发射节点的精细化表征。我们推导了DZHCP的强度、平均干扰以及成功概率近似值的解析表达式，揭示了网络性能如何依赖于关键设计参数。研究结果提供了对干扰水平与成功概率的更优估计，可为未来无线局域网设计中实现更优干扰管理与性能提升的策略提供理论依据。