一种利用对称三角分解求解整周模糊度的方法
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摘要
整周模糊度的求解是利用载波相位进行测量时的关键问题。采用了对系数矩阵进行QR分解的方法,用以降低矩阵的维数。模糊度搜索时,针对Z变换可能会引入多余误差,采用了对称三角分解法对协方差矩阵进行去相关处理。实验与仿真结果验证了该算法的有效性。
The key of measurement using CPS carrier phase is the determination of integer ambiguity.A method of QR decomposition is applied to decompose the observation matrix of satellites for decreasing dimensions of the matrix.Symmetry triangle decomposition is used to search integer ambiguity because Z transform may engender error.Simulation results indicate that the proposed method is fast and efficient for relative positioning of a moving user.
The key of measurement using CPS carrier phase is the determination of integer ambiguity.A method of QR decomposition is applied to decompose the observation matrix of satellites for decreasing dimensions of the matrix.Symmetry triangle decomposition is used to search integer ambiguity because Z transform may engender error.Simulation results indicate that the proposed method is fast and efficient for relative positioning of a moving user.
引文
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[14]Detoma E.Bonafede L,Capetti P.Local oscillator contribution to carrier-phase measurements in a GNSS receiver[C]//41~(st)Annual Precise Time and Time Interval(PTTI)Meeting.2009.
[15]Yasotharan A.A simple expression for the matrix gradient of a diagonal element of R in QR decomposition for use in MIMO communications and signal processing[R].Defence Research And Development Canada Ottawa.2010.
[16]He Y H,Martin R,Bilgic A M.Approximate iterative least squares algorithms for GPS positioning[C]//IEEE International Symposium on Signal Processing and Information Technology.2010.
[17]Henkel P.Chen Z.Carrier phase integer ambiguity resolution with inequality constraints for GPS and Galileo[C]//2011 IEEE Statistical Signal Processing Workshop.2011.
[2]谢钢.GPS原理与接收机设计[M].北京:电子工业出版社,2009.
[3]程云鹏,张凯院,徐仲.矩阵论[M].3版.西安:西北工业大学出版社,2006.
[4]王子茹,李凤斌.综述GPS定位中整周模糊度求解问题[J].东北测绘,2000,23(1).
[5]Xu P L.Random simulation and GPS decorrelation[J].Journal of Geodesy,2001,75(7/8):408-423.
[6]Ueno M,Santerre R.A combined method for GPS ambiguity resolution with single-frequency-receivers;application for ship berthing[J].Navigation,2000(2).
[7]刘少鹏.GPS载波相位定位关键技术研究[D].西安:空军工程大学,2010.
[8]袁伟.运动中整周模糊度快速分解的研究与应用[D].成都:西南交通大学,2009.
[9]卢献健.GPS整周模糊度求解理论分析与方法研究[D].桂林:桂林工学院,2008.
[10]逯亮清,胡小平.利用几何约束快速求解整周模糊度[J].飞行器测控学报,2001,20(1).
[11]陈树新.GPS整周模糊度动态确定的算法及性能研究[D].西安:西北工业大学,2002.
[12]赵蓓,王飞雪,孙广福,等.LAMBDA整周模糊度解算方法中的整数Z变化算法[J].弹箭与制导学报,2008,28(3).
[13]Wright J R,Woodburn J.Optimal time transfer[C]//41~(st)Annual Precise Time and Time Interval(PTTI)Meeting.2009.
[14]Detoma E.Bonafede L,Capetti P.Local oscillator contribution to carrier-phase measurements in a GNSS receiver[C]//41~(st)Annual Precise Time and Time Interval(PTTI)Meeting.2009.
[15]Yasotharan A.A simple expression for the matrix gradient of a diagonal element of R in QR decomposition for use in MIMO communications and signal processing[R].Defence Research And Development Canada Ottawa.2010.
[16]He Y H,Martin R,Bilgic A M.Approximate iterative least squares algorithms for GPS positioning[C]//IEEE International Symposium on Signal Processing and Information Technology.2010.
[17]Henkel P.Chen Z.Carrier phase integer ambiguity resolution with inequality constraints for GPS and Galileo[C]//2011 IEEE Statistical Signal Processing Workshop.2011.