基于最大似然估计的锁频环改进算法
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摘要
在森林、室内、高空轨道等弱信号环境中,卫星导航接收机已不能使用传统锁频环正常跟踪接收信号多普勒频率,针对这一问题,基于最大似然估计提出了一种改进的锁频环算法,在传统锁频环混频器之前加入最大似然估计模块,给出了该算法的推导过程,结合传统锁频环的实现结构,提出一种整合了该算法的实现方案。仿真结果表明,该算法比传统锁频环在频率跟踪性能上有很大的改进。
In such environments as forests?indoor rooms and high-altitude orbits with weak signals?the satellite navigation receiver can not use the traditional Frequency-Locked Loop(FLL) to track the Doppler frequency of received signal normally.To solve this problem?an improved algorithm of FLL based on maximum likelihood estimation is proposed.In this algorithm?the maximum likelihood estimation module is inserted before the mixer of the traditional FLL.The proposed algorithm is formulated in detail.Based on the structure of traditional FLL ?an implementation scheme is also proposed to enhance its performance.Simulation results show that:Compared with the traditional FLL ?the improved algorithm has a great improvement on the performance of frequency tracking.
In such environments as forests?indoor rooms and high-altitude orbits with weak signals?the satellite navigation receiver can not use the traditional Frequency-Locked Loop(FLL) to track the Doppler frequency of received signal normally.To solve this problem?an improved algorithm of FLL based on maximum likelihood estimation is proposed.In this algorithm?the maximum likelihood estimation module is inserted before the mixer of the traditional FLL.The proposed algorithm is formulated in detail.Based on the structure of traditional FLL ?an implementation scheme is also proposed to enhance its performance.Simulation results show that:Compared with the traditional FLL ?the improved algorithm has a great improvement on the performance of frequency tracking.
引文
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[10] HE Z?PETOVELLO M.Performance comparison of Kalman filter and maximum likelihood carrier phase tracking for weak GNSS signal[C]//International Conference on Indoor Positioning and Indoor Navigation (IPIN)?IEEE? 2015.doi:10.1109/IPIN.2015.7346959.
[11] WON J H?PANY T?ELSSFELLER B.Noniterative filter-based maximum likelihood estimators for GNSS tracking[J].IEEE Transactions on Aerospace and Electronic Systems?2012?48(2):1100-1114.
[12] 郇浩,陶选如,陶然.多普勒频率变化率快速最大似然估计辅助的高动态载波跟踪环路[J].电子与信息学报,2014?36(3):577-582.
[13] PSIAKI M L?JUNG H.Extended Kalman filter methods for tracking weak GPS signals[C]//Proceedings of 14th International Technical Meeting of the Satellite Division of the U.S.Institute of Navigation?2002:2539-2553.
[14] 欧春湘,杨嘉伟,胡强.基于卡尔曼滤波的锁频环改进算法[J].系统工程与电子技术,2014?36(12):2371-2375.
[15] TANG X H?FALCO G?FALLETTI E?et al.Theoretical analysis and tuning criteria of the Kalman filter-based tracking loop[J].GPS Solutions?2015?19(3):489-503.
[16] MEHRABI H?VOOSOGHI B.Recursive moving least squares[J].Engineering Analysis with Boundary Elements?2015?58:119-128.
[2] PSIAKI M L.Smoother-based GPS signal tracking in a software receiver[C]//Proceedings of 14th International Technical Meeting of the Satellite Division of the U.S.Institute of Navigation?2001:2900-2913.
[3] LIU Y?ZHANG J?ZHU Y B.Weak satellite signal tracking loop based on traditional tracking framework[J].Wireless Personal Communications?2013?70(4):1761-1775.
[4] BORIO D.Double phase estimator:new unambiguous binary offset carrier tracking algorithm[J].IET Radar?Sonar and Navigation?2014?8(7):729-741.
[5] BABU S R?WANG J L.Analysis of INS derived Doppler effects on carrier tracking loop[J].The Journal of Navigation?2005?58(3):493-507.
[6] PROGRI I F?KELLEY C W?GAO G J?et al.Discrete vs continuous carrier tracking loop theory?implementation? and testing with large BT[C]//The 20th Intemational Technical Meeting of the Satellite Division of the U.S.Institute of Navigation?2007:2584-2610.
[7] RONCAGLIOLO P A?GARCIA J G?MURAVCHIK C H.Pull-out probability and tracking threshold analysis for high dynamics GNSS carrier loops[C]//Proceedings of the 21th International Technical Meeting of the Satellite Division of the U.S.Institute of Navigation?2008:221-228.
[8] 程乃平,任宇飞,吕金飞.高动态扩频信号的载波跟踪技术研究[J].电子学报,2003?31(12A):2147-2150.
[9] 姜毅,张淑芳,胡青.一种低复杂度GPS载波跟踪环路设计[J].电子学报,2010?38(12):2822-2826.
[10] HE Z?PETOVELLO M.Performance comparison of Kalman filter and maximum likelihood carrier phase tracking for weak GNSS signal[C]//International Conference on Indoor Positioning and Indoor Navigation (IPIN)?IEEE? 2015.doi:10.1109/IPIN.2015.7346959.
[11] WON J H?PANY T?ELSSFELLER B.Noniterative filter-based maximum likelihood estimators for GNSS tracking[J].IEEE Transactions on Aerospace and Electronic Systems?2012?48(2):1100-1114.
[12] 郇浩,陶选如,陶然.多普勒频率变化率快速最大似然估计辅助的高动态载波跟踪环路[J].电子与信息学报,2014?36(3):577-582.
[13] PSIAKI M L?JUNG H.Extended Kalman filter methods for tracking weak GPS signals[C]//Proceedings of 14th International Technical Meeting of the Satellite Division of the U.S.Institute of Navigation?2002:2539-2553.
[14] 欧春湘,杨嘉伟,胡强.基于卡尔曼滤波的锁频环改进算法[J].系统工程与电子技术,2014?36(12):2371-2375.
[15] TANG X H?FALCO G?FALLETTI E?et al.Theoretical analysis and tuning criteria of the Kalman filter-based tracking loop[J].GPS Solutions?2015?19(3):489-503.
[16] MEHRABI H?VOOSOGHI B.Recursive moving least squares[J].Engineering Analysis with Boundary Elements?2015?58:119-128.