For vehicular networks, safety distances are important, but existing spatial models fail to characterize this parameter, especially for inter-lane communications. This work proposes a Matern hard-core processes based framework to appraise the performance of signal fractions (SF), where the hard-core distance is used to depict safety distances. By considering both semicircle and omnidirectional antennas, we derive high-accurate closed-form probability density functions of communication distances to acquire the complementary cumulative distribution function of SF. The derived expressions theoretically demonstrate that the nearest vehicle within the safety distance follows a uniform distribution and there is an upper limit for SF in terms of the transmit power.

翻译：对于车辆网络来说,安全距离很重要,但现有的空间模型无法说明这一参数的特点,特别是对于线路间通信而言。这项工作提议了一个基于母体核心过程的框架,用以评估信号分数的性能,其中硬核心距离用来描述安全距离。通过考虑半圆形天线和全向天线,我们得出通信距离的高准确度封闭式概率密度功能,以获得SF的互补累积分布功能。从理论上讲,衍生的表达方式表明,安全距离内最近的车辆遵循统一分布,而SF在传输功率方面有一个上限。