基于改进EEMD和LSSVM的单频周跳探测与修复方法

doi:10.3969/j.issn.1000-1158.2019.03.23

摘要
图/表
参考文献(16)
相关文章 (15)

全文: PDF (1740 KB) HTML (1 KB)
输出: BibTeX | EndNote (RIS)

摘要针对GPS载波相位观测值小周跳探测与修复的困难,提出了一种利用改进的集总平均经验模态分解进行单频载波相位周跳探测、并用最小二乘支持向量机算法预测来修复周跳的方法。首先利用相位观测值及伪距观测值构造周跳探测量;其次对探测量进行改进的集总平均经验模态分解,得到多个本征模式分量,取相关系数较高的IMF分量进行Hilbert谱分析,用Hilbert谱中模极大值的位置来判断周跳发生位置;最后对相关系数较高的IMF分量利用最小二乘支持向量机方法进行预测,比对发生周跳历元的载波实测值与预测值以修复周跳。实验表明,此方法可成功探测并修复一周的小周跳。

	服务

	把本文推荐给朋友
	加入我的书架
	加入引用管理器
	E-mail Alert
	RSS
	作者相关文章
	朱江淼
	闫迪
	高源
	陈烨
	王星

关键词 ：计量学, 周跳探测, GPS载波相位, 经验模态分解, 周跳修复, 最小二乘支持向量机

Abstract：To solve the problem that it is difficult to detect and repair the small cycle-slip, a method which uses modified EEMD to detect the cycle-slip and uses LSSVM to repair the cycle-slip is proposed. First, pseudorange and carrier-phase measurements are used to construct the cycle-slip detectable quantity; Second, the quantity is decomposed by MEEMD; as a result, it can obtain some intrinsic mode functions (IMF). Choose the IMFs which possessed relatively high correlativity with the detectable quantity to do the analysis use Hilbert. And the Hilbert modulus maximum is applied to judge if the cycle-slip appeared and its epoch. Finally, the value at these epochs for every IMFs whose correlation is high is predicted by the LSSVM. Compare the predictive value with the real value and the cycle-slip can be repaired. The experiments show that this method can successfully detect and repair the cycle-slip as small as one cycle.

Key words： metrology cycle-slip detection GPS carrier phase MEEMD cycle-slip reparation LSSVM

收稿日期: 2018-04-12 发布日期: 2019-04-19

PACS:

TB973

基金资助:国家自然科学基金(2013YQ090943,20140010)

通讯作者: 闫迪 E-mail: yandiemail@163.com

作者简介: 朱江淼(1972-),女,北京人,北京工业大学副教授,主要从事信号与信息处理、时间频率及脉冲参数数据处理。Email:zhujiangmiao@bjut.edu.cn

引用本文:

朱江淼,闫迪,高源,陈烨,王星. 基于改进EEMD和LSSVM的单频周跳探测与修复方法[J]. 计量学报, 2019, 40(3): 491-497.
ZHU Jiang-miao,YAN Di,GAO Yuan,CHEN Ye,WANG Xing. The Method for Single-frequency Cycle-slip Detection and Reparation Based on Modified EEMD and LSSVM. Acta Metrologica Sinica, 2019, 40(3): 491-497.

链接本文:

http://jlxb.china-csm.org:81/Jwk_jlxb/CN/10.3969/j.issn.1000-1158.2019.03.23 或 http://jlxb.china-csm.org:81/Jwk_jlxb/CN/Y2019/V40/I3/491

［1］崔立鲁,温孝居,余寒,等.基于电离层残差法的北斗周跳探测与修复研究［J］.成都大学学报(自然科学版),2017,36(1):62-65.
Cui L L, Wen X J, Yu H,et al. Research on Detection and Restoration of Beidou Cycle Slip Based on Ionosphere Residual Method［J］. Journal of Chengdu University(Natural Science), 2017, 36 (1):62-65.
［2］彭晓刚,李景岩.北斗系统姿态测量中周跳探测与修复方法［J］.测绘科学,2016,41(9):29-32.
Peng X G, Li J Y. Cycle Slips Detecting and Reparing Methods in BDS Attitude Surveying［J］.Sceence of Surveying and Mapping, 2016, 41(9): 29-32.
［3］陈猛,李建文,陈星宇,等.联合MW组合法及改进电离层残差法的周跳探测新方法［J］.全球定位系统,2016,41(4):39-42.
Chen M, Li J W, Chen X Y. A New Cycle Slip Detection Based on MW and Improved Ionosphere Residual Method［J］.GNSS World of China,2016,41(4):39-42.
［4］范丽红,王利,张明,等.基于MW与STPIR组合的周跳探测与修复方法研究［J］.武汉大学学报(信息科学版),2015,40(6):790-794.
Fan L H, Wang L, Zhang M,et al.A Combination of MW and Second-order Time-difference Phase Ionospheric Residual for Cycle Slip Detection and Repair［J］.Geomatics and Information Science of Wuhan University,2015,40(6):790-794.
［5］李明,高星伟,徐爱功.一种改进的周跳多项式拟合方法［J］.测绘科学,2008,(4):82-83,99.
Li M, Gao X W, Xu A G. A modified polynomial fitting of cycle-slip processing［J］.Sceence of Surveying and Mapping, 2008, (4):82-83, 99.
［6］李传龙,苏晓东.基于高次差与多项式拟合的周跳探测方法研究［J］.哈尔滨商业大学学报(自然科学版),2015,31(1):47-49,55.
Li C L, Su X D. A combined cycle slips detection method based on high-order difference method and polynomial fitting method［J］.Journal of Harbin University of Commerce (Natural Sciences Edition),2015,31(1):47-49,55.
［7］董冰全. 利用高次差法进行周跳探测［C］// 中国卫星导航系统管理办公室学术交流中心.第六届中国卫星导航学术年会论文集—S03精密定轨与精密定位.2015.

［8］张业旺,卢艳娥,李治安,等.组合高次差法与相位求差法在周跳探测与修复中的应用［J］.电子设计工程,2012,20(24):87-89.
Zhang Y W, Lu Y E, Li Z A,et al. Combination high difference and differenced phase apply to cycle slip detection and repair［J］.Electronic Design Engineering,2012,20(24):87-89.
［9］夏博洋,管守奎,黄杰,等.基于单频星载GPS数据的周跳探测方法［J］.测绘地理信息,2016,41 (4):27-31.
Xia B Y, Guan S K, Huang J, et al. Cycle Slip Detecting Method Using Single-Frequency Satellite Borne GPS Data［J］.Journal of Geomatics, 2016,41 (04):27-31.
［10］高书亮,黄智刚,李锐.适用于单频GPS用户的周跳探测方法［J］.北京航空航天大学学报,2011,37(8): 1021-1025.
Gao S L, Huang Z G, Li R. Cycleslips detecting approach for single frequency GPS Users［J］.Journal of Beijing University of Aeronautics and Astronautics,2011,37(8): 1021-1025.
［11］滕云龙,师奕兵,郭承军. 一种新的GPS载波相位周跳探测与修复方法［J］. 计量学报,2011, 32(3): 279-284.
Teng Y L, Shi Y B, Guo C J. A New Method for Cycle-Slip Detection and Correction in GPS Carrier Phase［J］. Acta Metrologica Sinica, 2011, 32(3): 279-284.
［12］赵旗旗,邹金慧.EEMD及LS-SVM在单频周跳探测与修复中的应用［J］.计算机与应用化学,2017,34(6): 476-480.
Zhao Q Q, Zou J H. Study on cycle-slip detection and repair in single-frequency based on EEMD and LS-SVM［J］.Computers and Applied Chemistry, 2017, 34(6): 476-480.
［13］Huang N E, Shen Z, et al. The empirical mode decomposition method and the Hilbert spectrum for non-stationary time series analysis［J］. Proc R Soc Lond A, 1998, 454(1971): 903-995.
［14］郑慧峰,曹文旭,王月兵,等. 基于经验模态分解的聚焦超声非线性声场检测［J］. 计量学报,2017,38(5): 616-620.
Zheng H F, Cao W X, Wang Y B, et al. Focused Ultrasound Nonlinear Acoustic Field Detection Method Based on Empirical Mode Decomposition［J］. Acta Metrologica Sinica, 2017,38(5): 616-620.
［15］Wu Z H, Huang N E. Ensemble empirical mode decomposition: A noise assisted data analysis method［J］. Advances in Adaptive Data Analysis,2011,1(1):0900004.
［16］Cortes C,Cortes C.Support-vector networks［J］. Kluwer Academic Publishers,1995,20(3):273-297.