GDOP’s Influence on Observable Degree of Multi-Antenna GPS/SINS Integrated Attitude Measuring System

Hao He, Yuhang Zheng, Dongfang Yang, Jinsheng Zhang, Shicheng Wang

Xi’an High-Tech Institution, Xi’an, China.

DOI: 10.4236/wjet.2015.33C054                

Abstract

GDOP’s influence on observable degree is studied by analyzing a multi-antenna GPS/SINS attitude measuring system. Firstly, the mathematical model of the attitude measuring system, whose observations are single-differences, is provided; Secondly, it is proved that the model can be studied by PWCS theory, and GDOP’s influence on observable degree is explained intuitively. Then, the variance of observable degree is studied by simulation while GDOP is different, and the result is analysed. Simulation results show that, the observable degree becomes worse with the increasing GDOP value. Therefore, while designing such kind of Kalman filter, the influence to observable degree which made by GDOP should be considered adequately.

Keywords

Attitude Measuring, Observable Degree, SVD, GDOP

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	Goshen-Meskin, D. and Bar-Itzhack, I.Y. (1992) Observability Analysis of Piece-Wise Constant Systems (Part I): Theory. IEEE Transactions on Aerospace and Electronic Systems, 28, 1056-1106. http://dx.doi.org/10.1109/7.165367
[2]	Goshen-Meskin, D. and Bar-Itzhack, I.Y. (1992) Observability Analysis of Piece-Wise Constant Systems (Part II): Application to Inertial Navigation In-Flight Alignment. IEEE Transactions on Aerospace and Electronic Systems, 28, 1068-1075. http://dx.doi.org/10.1109/7.165368
[3]	Cheng, X.H., Wan, D.J. and Zhong, X. (1997) Study on Observability and Its Degree of Strapdown Inertial Navigation System. Journal of Southeast University, 27, 6-10.
[4]	Shuai, P., Chen, D.C. and Jiang, Y. (2004) Observable Degree Analysis Method of Integrated GPS/SINS Navigation system. Journal of Astronautics, 25, 219-224.
[5]	Liu, F., Hu, X.M., Weng, H.N., et al. (2011) Observbility Analysis of SINS/GPS Tightly Coupled System. Journal of Tianjin University, 44, 391-395.
[6]	Zhou, W.D., Cai, J.N., Sun, L., et al. (2013) Observability Analysis of GPS/SINS Ultra-Tightly Coupled System. Journal of Beijing University of Aeronautics and Astronautics, 39, 1157-1162.
[7]	Hu, X.M., Liu, F. and Weng, H.N. (2011) Observability Analysis of MSINS/SINS Complete Integrated System. Journal of Chinese Inertial Technology, 19, 38-45.
[8]	Ma, Y.H. and Hu, J. (2008) Counterexamples for Degree of Observability Analysis Method Based on SVD Theory. Journal of Chinese Inertial Technology, 16, 448-452.