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基于核估计的北斗RDSS传输延时随机数生成法

RDSS Transmission Delay Random Number Generation Method Based on Kernel Estimation

    摘要
  • 摘要: 北斗卫星导航系统（BDS）采用卫星无线电导航业务(RNSS)和卫星无线电测定业务(RDSS)双模结构体制,不但具有全球定位系统(GPS)等系统的导航、定位和授时功能,同时还提供双向短报文信息服务,在多个民用领域有着非常广阔的潜在应用前景. 传输成功率和传输延时是北斗短报文的两个重要性能参数,北斗短报文技术在各行业的推广应用以及相关系统的建设都急需这两个性能参数作为参考. 本文测试了北斗短报文的通信性能,提出基于核密度估计建立北斗短报文传输时延概率模型并生成时延伪随机数的方法. 通过MATLAB对北斗RDSS实测时延数据进行核密度估计并绘制概率密度估计值曲线;利用权重系数组合多个高斯函数对概率密度估计值曲线进行拟合,获得时延的概率密度分布函数,并采用舍选法实现北斗RDSS传输延时伪随机数的生成.

     

    Abstract: BeiDou satellite navigation system adopts RNSS and RDSS dualmode structure system, which not only has the navigation, positioning and timing functions of GPS and other systems, but also provides bidirectional short message information service, which has a very wide potential application in many civil fields. Transmission success rate and transmission delay are two important performance parameters of BeiDou short message. These two performance parameters are urgently needed as reference for the promotion and application of BeiDou short message technology in various industries and the construction of related systems. This paper tests the communication performance of BeiDou short message, proposing a method based on the kernel density estimation in order to establish the Beidou short message transmission delay probability model and generate the delay pseudorandom number. The kernel density of Beidou RDSS measured time delay is estimated by MATLAB and the probability density estimation curve is drawn. The probability density function of the time delay is obtained by fitting the probability density estimation curve with multiple normal distributions. The rejection method realizes the generation of the pseudorandom number of the Beidou RDSS transmission delay.

     

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