Using Allan variance to analyze the error characteristics of GNSS positioning

GPS Solutions

Volumn 18, Issue 2, 2014, Pages 231-242

  Niu, Xiaoji ^a   Chen, Qijin ^a   Zhang, Quan ^a   Zhang, Hongping ^a   Niu, Jieming ^a   Chen, Kejie ^a   Shi, Chuang ^a   Liu, Jingnan ^a  

^a WUHAN UNIVERSITY   (China)

Author keywords

Allan variance; Error analysis; Error modeling; GNSS positioning; Time series

Indexed keywords

ERROR ANALYSIS; GLOBAL POSITIONING SYSTEM; MARKOV PROCESSES; RANDOM ERRORS; TIME SERIES; TIME SERIES ANALYSIS;

ALLAN VARIANCE; ERROR CHARACTERISTICS; ERROR MODEL; GAUSS-MARKOV PROCESS; GAUSSIAN WHITE NOISE; GNSS POSITIONING; INTEGRATED SYSTEMS; POSITIONING ACCURACY;

WHITE NOISE;

ERROR ANALYSIS; GAUSSIAN METHOD; GNSS; MARKOV CHAIN; NOISE; PERFORMANCE ASSESSMENT; TIME SERIES; VARIANCE ANALYSIS;

EID: 84896399216     PISSN: 10805370     EISSN: 15211886     Source Type: Journal    
DOI: 10.1007/s10291-013-0324-x     Document Type: Article

References (32)

1. Amiri-Simkooei AR, Tiberius CCJM, Teunissen PJG (2007) Assessment of noise in GPS coordinate time series: methodology and results. JGR 112: B07413. doi: 10. 1029/2006JB004913.
2. Bierman GS (1995) Error modeling for differential GPS. Master thesis Charles Stark Draper Laboratory Inc., National Aeronautics and Space Administration, National Technical Information Service.
3. Bock Y, Nikolaidis RM, de Jonge PJ, Bevis M (2000) Instantaneous geodetic positioning at medium distances with the Global Positioning System. JGR 105 (B12): 28, 223-28, 253, doi: 10. 1029/2000JB900268.
4. Borre K, Tiberius CCJM (2000) Time series analysis of GPS observables. Proc. ION-GPS-2000, Salt Lake city, Utah, pp 1885-1894.
5. EI-Sheimy N, Hou HY, Niu XJ (2008) Analysis and modeling of inertial sensors using Allan variance. IEEE Trans Instrum Meas 57(1): 140-149.
6. El-Rabbany A, Kleusberg A (2003) Effect of temporal physical correlation on accuracy estimation in GPS relative positioning. Journal of Surveying Engineering 129(1): 28-32. doi: 10. 1061/(ASCE)0733-9453.
7. Feissel-Vernier M, De Viron O, Le Bail K (2007) Stability of VLBI, SLR, DORIS, and GPS positioning. Earth Planets Space 59(6): 475-497.
8. Friederichs T (2010) Analysis of geodetic time series using Allan variance. An investigation based on a coursework, University of Stuttgart. [Online].
9. Ge MR, Liu JN (1996) The estimation methods for tropospheric delays in global positioning system (in Chinese). Acta Geodaetica et Cartographica Sinica 25(4): 285-291.
10. Genrich JF, Bock Y (2006) Instantaneous geodetic positioning with 10-50 Hz GPS measurements: noise characteristics and implications for monitoring networks. JGR 111: B03403. doi: 10. 1029/2005JB003617.
11. Groves PD (2008) Principles of GNSS, inertial and multisensor integrated navigation systems. Artech House.
12. Hackl M, Malservisi R, Hugentobler U, Wonnacott R (2011) Estimation of velocity uncertainties from GPS time series: Examples from the analysis of the South African TrigNet network. JGR 116(B15): B11404. doi: 10. 1029/2010JB008142.
13. Howind J, Kutterer H, Heck B (1999) Impact of temporal correlations on GPS-derived relative point positions. J Geodesy 73: 246-258.
14. IEEE (2008a) Standard Specification Format Guide and Test Procedure for Linear, Single-Axis, Non-gyroscopic Accelerometers, IEEE Std. 1293-1988, pp 166-182.
15. IEEE (2008b) Standard specification format guide and test procedure for single-axis interferometric fiber optic gyros, IEEE Std. 952-1997 (R2008), pp 61-73.
16. Khelifa S, Kahlouche S, Belbachir MF (2011) Noise characteristics of GPS coordinate time series. International Journal of Academic Research. 3(3), II Part: 589-596.
17. King NE, Svarc JL, Fogleman EB, Gross WK, Clark KW, Hamilton GD, Stiffler CH, Sutton JM (1995) Continuous GPS observations across the Hayward fault, California, 1991-1994. JGR 100(B10): 20, 271-20, 283. doi: 10. 1029/95 JB02035.
18. Land DV, Levick AP, Hand JW (2007) The use of the Allan deviation for the measurement of the noise and drift performance of microwave radiometers. Meas Sci Technol 18: 1917-1928.
19. Langbein J, Johnson H (1997) Correlated errors in geodetic time series: implications for time dependent deformation. JGR 102(B1): 591-603. doi: 10. 1029/96JB02945.
20. Liu JN, Ge (2003) PANDA software and its preliminary result of positioning and orbit determination. Wuhan University Journal of Natural Sciences 8(B2): 603-609. doi: 10. 1007/BF02899825.
21. Malkin ZM (2011) Study of astronomical and geodetic series using the Allan variance. Kinematics Phys Celestial Bodies 27(1): 42-49.
22. Mao A, Harrison CGA, Dixon TH (1999) Noise in GPS coordinate time series. JGR 104(B2): 2797-2816. doi: 10. 1029/1998JB900033.
23. Niu XJ, Zhang Q, Zhang HP (2010) Use Allan Variance to Analyze the Results of GNSS/INS Navigation Systems. Proceedings of the CPGPS 2010 Technical Forum on Satellite Navigation and Positioning, Shanghai, China. pp 565-572.
24. Rankin J (1994) An error model for sensor simulation GPS and differential GPS. IEEE Position Location and Navigation Symposium Record: pp 260-266.
25. Riley WJ (2008) Handbook of frequency stability analysis. US Department of Commerce, National Institute of Standards and Technology.
26. Roberts CA, Morgan P, Rizos C (2002) Allan variance applied to time series baseline results for GPS-based deformation monitoring applications. Proceedings of the 2nd symposium on geodesy for geotechnical and structural applications, Berlin: pp 99-311.
27. Shin EH (2001) Accuracy improvement of low cost INS/GPS for land applications. Master thesis, University of Calgary, Alberta, pp 29-46.
28. Tralli DM, Lichten SM (1990) Stochastic estimation of tropospheric path delays in Global Positioning System geodetic measurements. J Geodesy 64(2): 127-159.
29. Welch PD (1967) The use of fast fourier transform for the estimation of power spectra: a method based on time averaging over short, modified periodograms. IEEE Trans on 15: 70-73.
30. Williams SDP, Bock Y, Fang P, Jamason P, Nikolaidis RM, Prawirodirdjo L, Miller M, Johnson DJ (2004) Error analysis of continuous GPS position time series. JGR 109(B3): B3412. doi: 10. 1029/2003JB002741.
31. Xie G (2009) Principles of GPS and receiver design. Publishing House of Electronics Industry, Beijing, pp 266-303.
32. Zhang J, Bock Y, Johnson H, Fang P, Genrich JF, Williams S, Wdowinski S, Behr J (1997) Southern California permanent GPS geodetic array: error analysis of daily position estimates and site velocities. JGR 102(B8): 18, 035-18055. doi: 10. 1029/97JB01380.