基于长短基线法的整周模糊度解算算法
Integer Ambiguity Resolution Algorithm Based on Different Baseline Method
摘要: 利用载波相位观测值可以大大提高导航定位精度，但整周模糊度的存在会严重影响结果准确性。本文分析了LAMBDA算法解算整周模糊度的优缺点。针对其构建搜索域导致的搜索时间较长的问题。提出了一种基于长短基线结合的整周模糊度解算算法。通过对比LAMBDA算法与长短基线法解算精确度以及解算速度进行分析对比。通过仿真实验可以看出，LAMBDA法的解算速度相对于长短基线法来说较慢，但是在卫星与接收天线之间呈一定角度时，长短基线法会会大大的提高模糊度解算的误差。本文还粗略地分析了长短基线法引起误差的原因。
Abstract: Carrier phase observation can greatly improve the accuracy of navigation and positioning, but the existence of ambiguity will seriously affect the accuracy of the results. This paper analyzes the ad-vantages and disadvantages of LAMBDA algorithm for integer ambiguity resolution. The problem of constructing search domain leads to long search time. An algorithm of integer ambiguity resolution based on long baseline and short baseline is proposed. By comparing the LAMBDA algorithm with the long baseline method, the accuracy and speed of calculation are analyzed and compared. The simulation results show that the LAMBDA method is slower than the long-short baseline method, but when the angle between the satellite and the receiving antenna is certain, the long-short baseline method will greatly improve the ambiguity resolution error. The causes of errors caused by the long baseline method are also roughly analyzed.
文章引用：张晟歌, 程乃平, 倪淑燕. 基于长短基线法的整周模糊度解算算法[J]. 图像与信号处理, 2018, 7(4): 191-199. https://doi.org/10.12677/JISP.2018.74022

参考文献

[1] 龚宵雪, 徐爱功, 祝会忠, 等. 改进LAMBDA算法的双频BDS整周模糊度快速固定[J]. 导航定位学报, 2017, 5(3): 72-76, 83.
[2] 刘朝功. 三种整周模糊度搜索方法对比[J]. 北京测绘, 2015(2): 50-54.
[3] Langley, R.B., Teunissen, P.J.G. and Mon-tenbruck, O. (2017) Introduction to GNSS. Springer Handbook of Global Navigation Satellite Systems. Springer International Pub-lishing.
[4] Dai, W., Shi, Q. and Cai, C. (2017) Characteristics of the BDS Carrier Phase Multipath and Its Mitigation Methods in Relative Positioning. Sensors, 17, 796.
[Google Scholar] [CrossRef] [PubMed]
[5] 李建文, 郝金明, 李军正, 等. GPS/GLONASS载波相位测量模糊度解算方法[J]. 测绘科学技术学报, 2004, 21(3): 163-165.
[6] 宋福成. GNSS整周模糊度估计方法研究[D]: [博士学位论文]. 北京: 中国矿业大学(北京), 2016.
[7] 项冬, 程鹏飞, 王潜心. 综合使用联合Z变换与高斯Z变换进行整周模糊度降相关平差[C]//2012中国测绘学会大地测量专业委员会年会暨陈俊勇院士学术思想研讨会. 2012.
[8] 王建敏, 马天明, 祝会忠. BDS/GPS整周模糊度实时快速解算[J]. 中国矿业大学学报, 2017, 46(3): 672-678..
[9] 邱蕾, 花向红, 蔡华, 伍岳. GPS短基线整周模糊度的直接解法[J]. 武汉大学学报(信息科学版), 2009, 34(1): 97-99, 104.
[10] 高猛, 徐爱功, 祝会忠, 袁宏超, 顾秋恺. 北斗系统短基线解算数据处理方法[J]. 测绘科学, 2015, 40(4): 28-33.
[11] Liu, Y., Ge, M., Shi, C., et al. (2016) Improving Integer Ambiguity Resolution for GLONASS Precise Orbit Determination. Journal of Ge-odesy, 90, 715-726.
[Google Scholar] [CrossRef] 
[12] Marquette, I., Sajedi, M. and Winternitz, P. (2017) Fourth Order Superintegrable Systems Separating in Cartesian Coordinates I. Exotic Quantum Potentials. Journal of Physics A Mathematical Theoretical, 50, 315201.
[Google Scholar] [CrossRef] 
[13] Jian, M.A., Jun, L.I. and Gao, F. (2017) Application of Kalman Filtering Al-gorithm in Ultra-Short Baseline Positioning of Autonomous Underwater Vehicle. Ship Science & Technology, 6, 120-122.
[14] Teunissen, P.J.G. (1999) The Probability Distribution of the GPS Baseline for a Class of Integer Ambiguity Estimators. Journal of Geodesy, 73, 275-284.
[Google Scholar] [CrossRef] 
[15] Civicioglu, P. (2012) Transforming Geocentric Cartesian Coordinates to Geodetic Coordinates by Using Differential Search Algorithm. Computers & Geosciences, 46, 229-247.
[Google Scholar] [CrossRef] 
[16] Lü, W.C. and Xu, S.Q. (2004) Kalman Filtering Algorithm Research for the Deformation Information Series of the Similar Single Difference Model. Journal of China University of Mining and Technology, 14, 189-194.
[17] Park, C. and Kim, I. (1998) Integer Ambiguity Resolution for GPS Based Attitude Determination System. Proceedings of the Sice Conference, International Session Papers, IEEE, 1115-1120.