基于“当前”统计模型的卡尔曼滤波在北斗单向授时中的应用  

Application of Kalman filter based on current statistical model in BDS one-way timing

作　　者：柯腾伦 孙光辉 吴荣刚 丁凯生 陈睿容 KE Tenglun;SUN Guanghui;WU Ronggang;DING Kaisheng;CHEN Ruirong(Beijing Remote Sensing Equipment Institute,Beijing 100080,China;National Key Laboratory of Rader Signal Processing,Xidian University,Xi an 710071,China)

机构地区：[1]北京遥感设备研究所,北京100086 [2]西安电子科技大学雷达信号处理全国重点实验室,西安710071

出　　处：《导航定位与授时》2023年第3期39-48,共10页Navigation Positioning and Timing

摘　　要：为了提高北斗单向授时的授时精度,提出了一种基于“当前”统计模型的卡尔曼滤波单向授时方法。将“当前”统计模型应用于接收机时钟频率漂移的建模以建立状态方程,使用经过卡尔曼滤波后的钟差和钟速对本地时钟进行修正。实验结果表明,在选取合适的机动频率和最大频率漂移的情况下,相比于未滤波修正,温补晶振时钟的峰峰值最多可以减小36.7%,标准差最多可以减小42.5%;恒温晶振时钟的峰峰值最多可以减小71.8%,标准差最多可以减小67.0%。基于“当前”统计模型的卡尔曼滤波单向授时方法,可以有效地降低观测量的误差与噪声对于接收机钟差与钟速的影响,从而提高授时精度。In order to improve the timing accuracy of Beidou one-way timing,a Kalman filtering one-way timing method based on the current statistical model is proposed.The state equation is established by applying the current statistical model to the receiver clock frequency drift.The local clock is corrected by the clock offset and clock drift filtered by Kalman filter.The experimental results show that with the appropriate maneuvering frequency and maximum frequency drift,compared to unfiltered correction,the peak-to-peak value of the temperature compensated crystal oscillator clock can be reduced by up to 36.7%,and the standard deviation can be reduced by up to 42.5%.The peak-to-peak value of the oven-controlled crystal oscillator clock can be reduced by up to 71.8%,and the standard deviation can be reduced by up to 67.0%.The Kalman filtering one-way timing method based on the current statistical model can effectively reduce the impact of observation errors and noise on the receiver clock offset and clock drift,and thereby improving the timing accuracy.

关 键 词：北斗单向授时 “当前”统计模型 接收机时钟 卡尔曼滤波 

分 类 号：TN996[电子电信—信号与信息处理]