gyroscopyГироскопия и навигацияGiroskopiya i Navigatsiya / Gyroscopy and Navigation0869-70352075-0927AO «Концерн «ЦНИИ «Электроприбор»10.17285/0869-7035.0033gyroscopy-212Research ArticleСтатьиСравнительный анализ трех методов определения скорости по данным GPSComparison of GPS Velocity Obtained Using Three Different Estimation ModelsВанС.WangX.

Ван Синсин. Аспирант

ТуЖ.TuR.

Ту Жуй. Профессор

ХаньЦ.HanJ.

Хань Цзюньцян. Младший научный сотрудник

ЧжанЖ.ZhangR.

Чжан Жуй. Младший научный сотрудник

ФаньЛ.FanL.

Фань Лихун. Младший научный сотрудник

Национальный центр времени, Китайская академия наук (Сиань, Китай); Университет Китайской академии наук (Пекин, Китай)КитайNational Time Service Center, Chinese Academy of Sciences, Xi’an, China; University of Chinese Academy of Sciences, Beijing, ChinaChinaНациональный центр времени, Главная лаборатория точной навигации и времени, Китайская академия наук (Сиань, Китай); Университет Китайской академии наук (Пекин, Китай).КитайNational Time Service Center, Chinese Academy of Sciences; Key Laboratory of Precision Navigation and Timing, Chinese Academy of Sciences, Xi’an, China; University of Chinese Academy of Sciences, Beijing, ChinaChinaНациональный центр времени, Китайская академия наук (Сиань, Китай); Университет Китайской академии наук (Пекин, Китай).КитайNational Time Service Center, Chinese Academy of Sciences; Key Laboratory of Precision Navigation and Timing, Chinese Academy of SciencesChina2020101120252825469Copyright © Ван С., Ту Ж., Хань Ц., Чжан Ж., Фань Л., 20252025Ван С., Ту Ж., Хань Ц., Чжан Ж., Фань Л.Wang X., Tu R., Han J., Zhang R., Fan L.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.gyroscopy.ru/jour/article/view/212

Сопоставляются три метода определения скорости по данным GPS, которые основаны на дифференцировании фазы несущей, прямых доплеровских измерениях и технологии прецизионного точечного позиционирования. Приведены результаты статических и кинематических экспериментов с реальными данными GPS.

This study analyses the GPS velocity estimation performances of three different estimation models, namely, the time-differenced carrier phase velocity estimation (TDCPVE), Doppler observation velocity estimation (DopplerVE), and precise point positioning velocity estimation (PPPVE). Static and vehicle kinematic experiments are conducted for validation. Under simulated kinematic conditions using static data, the accuracy of the DopplerVE is the worst, and the precision of the velocity by the PPPVE is the same as with the TDCPVE. Under kinematic conditions, the accuracies of the three methods are related to the motion state of the mobile carrier (such as its acceleration and turning). When the sampling interval is 1 s, the TDCPVE can obtain precise velocity using a singlefrequency stand-alone GPS receiver; the TDCPVE and DopplerVE can obtain accuracies of the same order of magnitude with broadcast and precise ephemerides, and can be used for real-time velocity measurement; the PPPVE can obtain not only an accurate position, but also an accurate velocity.

GPSоценивание скоростифаза несущейдоплеровские измеренияпрецизионное точечное позиционирование.Velocity estimationcarrier phaseDoppler observationprecise point positioning.ReferencesZhang, W., Ghogho, M., and Aguado, L. E., GPS single point positioning and velocity computation from RINEX file under Matlab environment, Proc. 13th IAIN World Congress, Stockholm, Sweden, 2009.Zhang, W., Ghogho, M., and Aguado, L. E., GPS single point positioning and velocity computation from RINEX file under Matlab environment, Proc. 13th IAIN World Congress, Stockholm, Sweden, 2009.Peng, Y.Q., Xu, C.D., and Li, Z., Application of MIEKF optimization algorithm in GPS positioning and velocity measurement, Computer Simulation, 2018, vol. 35, no. 7, pp. 65–69.Peng, Y.Q., Xu, C.D., and Li, Z., Application of MIEKF optimization algorithm in GPS positioning and velocity measurement, Computer Simulation, 2018, vol. 35, no. 7, pp. 65–69.Yan, Y.W., Ye, S.R., and Xia, J.C., Research of BDS velocity estimation with time differenced carrier phase method, Science of Surveying & Mapping, 2016, vol. 41, no. 7.Yan, Y.W., Ye, S.R., and Xia, J.C., Research of BDS velocity estimation with time differenced carrier phase method, Science of Surveying & Mapping, 2016, vol. 41, no. 7.Wang, F.H., Zhang, X.H., and Huang, J.S., Error analysis and accuracy assessment of GPS absolute velocity determination without SA, Geomatics and Information Science of Wuhan University, 2007, vol. 11, no. 2, pp. 133–138.Wang, F.H., Zhang, X.H., and Huang, J.S., Error analysis and accuracy assessment of GPS absolute velocity determination without SA, Geomatics and Information Science of Wuhan University, 2007, vol. 11, no. 2, pp. 133–138.Branzanti, M., Colosimo, G., and Mazzoni, A., Variometric approach for real-time GNSS navigation: first demonstration of kin-VADASE capabilities, Advances in Space Research, 2016, vol. 59, no. 11.Branzanti, M., Colosimo, G., and Mazzoni, A., Variometric approach for real-time GNSS navigation: first demonstration of kin-VADASE capabilities, Advances in Space Research, 2016, vol. 59, no. 11.Sun, W., Duan, S.L., Ding, W., and Kong, Y., Comparative analysis on velocity determination by GPS single point, Journal of Navigation & Positioning, 2017, vol. 5, no. 1, pp. 81–85, 99.Sun, W., Duan, S.L., Ding, W., and Kong, Y., Comparative analysis on velocity determination by GPS single point, Journal of Navigation & Positioning, 2017, vol. 5, no. 1, pp. 81–85, 99.Guo, A.Z., Wang, Y., Liu, G.Y., Zheng, H., and Zhang, M.S., Error analysis of high-rate GPS data real-time single-point velocity-determination, Journal of Geodesy & Geodynamics, 2013, vol. 33, no. 5.Guo, A.Z., Wang, Y., Liu, G.Y., Zheng, H., and Zhang, M.S., Error analysis of high-rate GPS data real-time single-point velocity-determination, Journal of Geodesy & Geodynamics, 2013, vol. 33, no. 5.Freda, P., Angrisano, A., Gaglione, S., and Troisi, S., Time-differenced carrier phases technique for precise GNSS velocity estimation, GPS Solutions, 2015, vol. 19, no. 2, pp. 335–341.Freda, P., Angrisano, A., Gaglione, S., and Troisi, S., Time-differenced carrier phases technique for precise GNSS velocity estimation, GPS Solutions, 2015, vol. 19, no. 2, pp. 335–341.Ding, W.D., & Wang, J.L., Precise velocity estimation with a stand-alone GPS receiver, The Journal of Navigation, 2011, vol. 64, no. 2, p. 15.Ding, W.D., & Wang, J.L., Precise velocity estimation with a stand-alone GPS receiver, The Journal of Navigation, 2011, vol. 64, no. 2, p. 15.Soon, B. K. H., Scheding, S., Lee, H. K., Lee, H. K., and Durrant-Whyte, H., An approach to aid INS using time-differenced GPS carrier phase (ДВФН) measurements, GPS Solutions, 2008, vol. 12, no. 4, pp. 261–271.Soon, B. K. H., Scheding, S., Lee, H. K., Lee, H. K., and Durrant-Whyte, H., An approach to aid INS using time-differenced GPS carrier phase (ДВФН) measurements, GPS Solutions, 2008, vol. 12, no. 4, pp. 261–271.Han, S., and Wang, J., Integrated GPS/INS navigation system with dual-rate Kalman filter, GPS Solutions, 2012, vol. 16, no. 3, pp. 389–404.Han, S., and Wang, J., Integrated GPS/INS navigation system with dual-rate Kalman filter, GPS Solutions, 2012, vol. 16, no. 3, pp. 389–404.Cheng, Y., Yu, X. W., Ye, C. Y., and Zhang, M., Analysis of single-point GPS velocity determination with Doppler, GNSS World of China, 2008, vol. 33, no. 1, pp. 31–34.Cheng, Y., Yu, X. W., Ye, C. Y., and Zhang, M., Analysis of single-point GPS velocity determination with Doppler, GNSS World of China, 2008, vol. 33, no. 1, pp. 31–34.He, H.B., Yang, Y.X., Sun, Z.M., and Ma, X., Mathematic model and error analyses for velocity determination using GPS Doppler measurements, Journal of Institute of Surveying and Mapping, 2003, vol. 20, no. 2.He, H.B., Yang, Y.X., Sun, Z.M., and Ma, X., Mathematic model and error analyses for velocity determination using GPS Doppler measurements, Journal of Institute of Surveying and Mapping, 2003, vol. 20, no. 2.He, H.B., Yang, Y.X., and Sun, Z.M., A comparison of several approaches for velocity determination with GPS, Acta Geodaetica et Cartographica Sinica, 2002, vol. 31, no. 3, pp. 217–221.He, H.B., Yang, Y.X., and Sun, Z.M., A comparison of several approaches for velocity determination with GPS, Acta Geodaetica et Cartographica Sinica, 2002, vol. 31, no. 3, pp. 217–221.Wang, Q. X., and Xu, T. H., Combining GPS carrier phase and Doppler observations for precise velocity determination, Science in China Series G (Physics, Mechanics and Astronomy), 2011, vol. 54, no. 6, pp. 1022–1028.Wang, Q. X., and Xu, T. H., Combining GPS carrier phase and Doppler observations for precise velocity determination, Science in China Series G (Physics, Mechanics and Astronomy), 2011, vol. 54, no. 6, pp. 1022–1028.Tu, R., Fast determination of displacement by PPP velocity estimation, Geophysical Journal International, 2014, vol. 196, no. 3, pp. 1397–1401.Tu, R., Fast determination of displacement by PPP velocity estimation, Geophysical Journal International, 2014, vol. 196, no. 3, pp. 1397–1401.Graas, F. V., and Soloviev, A., Precise velocity estimation using a stand-alone GPS receiver, Navigation, 2004, vol. 51, no. 4, pp. 283–292.Graas, F. V., and Soloviev, A., Precise velocity estimation using a stand-alone GPS receiver, Navigation, 2004, vol. 51, no. 4, pp. 283–292.Zumberge, J., Heflin, M., Jefferson, D., Watkins, M.M., and Webb, F.H., Precise point positioning for the efficient and robust analysis of GPS data from large networks, Journal of Geophysical Research: Solid Earth, 1997, vol. 102, no. B3, pp. 5005–5017.Zumberge, J., Heflin, M., Jefferson, D., Watkins, M.M., and Webb, F.H., Precise point positioning for the efficient and robust analysis of GPS data from large networks, Journal of Geophysical Research: Solid Earth, 1997, vol. 102, no. B3, pp. 5005–5017.Kouba, J., and Héroux, P., Precise point positioning using IGS orbit and clock products, GPS Solutions, 2001, vol. 5, no. 2, pp. 12–28.Kouba, J., and Héroux, P., Precise point positioning using IGS orbit and clock products, GPS Solutions, 2001, vol. 5, no. 2, pp. 12–28.Gao, Y., Lahaye, F., and Heroux, P., Modeling and estimation of C1–P1 bias in GPS receivers, Journal of Geodesy, 2001, vol. 74, no. 9, pp. 621–626.Gao, Y., Lahaye, F., and Heroux, P., Modeling and estimation of C1–P1 bias in GPS receivers, Journal of Geodesy, 2001, vol. 74, no. 9, pp. 621–626.Abdel-Salam, M., Precise point positioning using un-differenced code and carrier phase observations, PhD Thesis, the University of Calgary, Calgary, AB, Canada, 2005.Abdel-Salam, M., Precise point positioning using un-differenced code and carrier phase observations, PhD Thesis, the University of Calgary, Calgary, AB, Canada, 2005.Kalman, R. E., A new approach to linear filtering and prediction problems, Journal of Basic Engineering Transactions, 1960, vol. 82, pp. 35–45.Kalman, R. E., A new approach to linear filtering and prediction problems, Journal of Basic Engineering Transactions, 1960, vol. 82, pp. 35–45.Saastamoinen, J., Atmospheric correction for the troposphere and stratosphere in radio ranging satellites, Proc. Int. Sympos. on the Use of Artificial Satellites for Geodesy, 1971, 247–251.Saastamoinen, J., Atmospheric correction for the troposphere and stratosphere in radio ranging satellites, Proc. Int. Sympos. on the Use of Artificial Satellites for Geodesy, 1971, 247–251.

The authors declare that there are no conflicts of interest present.