{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,26]],"date-time":"2026-03-26T07:09:39Z","timestamp":1774508979440,"version":"3.50.1"},"reference-count":55,"publisher":"MDPI AG","issue":"21","license":[{"start":{"date-parts":[[2023,10,28]],"date-time":"2023-10-28T00:00:00Z","timestamp":1698451200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Natural Science Foundation of China","award":["41904037"],"award-info":[{"award-number":["41904037"]}]},{"name":"National Natural Science Foundation of China","award":["42074012"],"award-info":[{"award-number":["42074012"]}]},{"name":"National Natural Science Foundation of China","award":["42030109"],"award-info":[{"award-number":["42030109"]}]},{"name":"National Natural Science Foundation of China","award":["2020JH2\/10100044"],"award-info":[{"award-number":["2020JH2\/10100044"]}]},{"name":"National Natural Science Foundation of China","award":["SKX192010016"],"award-info":[{"award-number":["SKX192010016"]}]},{"name":"The Liaoning Key Research and Development Program","award":["41904037"],"award-info":[{"award-number":["41904037"]}]},{"name":"The Liaoning Key Research and Development Program","award":["42074012"],"award-info":[{"award-number":["42074012"]}]},{"name":"The Liaoning Key Research and Development Program","award":["42030109"],"award-info":[{"award-number":["42030109"]}]},{"name":"The Liaoning Key Research and Development Program","award":["2020JH2\/10100044"],"award-info":[{"award-number":["2020JH2\/10100044"]}]},{"name":"The Liaoning Key Research and Development Program","award":["SKX192010016"],"award-info":[{"award-number":["SKX192010016"]}]},{"name":"The University Cooperation Project of New Technology Research","award":["41904037"],"award-info":[{"award-number":["41904037"]}]},{"name":"The University Cooperation Project of New Technology Research","award":["42074012"],"award-info":[{"award-number":["42074012"]}]},{"name":"The University Cooperation Project of New Technology Research","award":["42030109"],"award-info":[{"award-number":["42030109"]}]},{"name":"The University Cooperation Project of New Technology Research","award":["2020JH2\/10100044"],"award-info":[{"award-number":["2020JH2\/10100044"]}]},{"name":"The University Cooperation Project of New Technology Research","award":["SKX192010016"],"award-info":[{"award-number":["SKX192010016"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>Real-Time (RT) Precise Point Positioning (PPP) uses precise satellite orbits and clock corrections, and employs a separate receiver for positioning. With the growing demand, RT PPP is becoming an increasingly popular research topic. The ambiguity resolution (AR) can significantly improve the positioning accuracy and convergence time of PPP, so it is essential to study PPPAR in RT mode. In this paper, 37 MGEX stations from around the world are chosen, and the RT orbit, clock, and phase biases products broadcast by the Centre National d\u2019Etudes Spatiales (CNES) are applied to PPPAR. Additionally, the residuals of the RT phase biases products, convergence time, and positioning accuracy are investigated. The results indicate that GPS products have the best quality of AR, with wide-lane (WL) and narrow-lane (NL) residuals of 98.9% and 95.3%, respectively, within \u00b10.25 cycles. Within \u00b10.25 cycles, the WL and NL residuals of the Galileo are 98.2% and 94.3%, respectively. Within \u00b10.25 cycles, the (Beidou Navigation Satellite System) BDS has a poor quality of AR, with WL and NL residuals of 97.3% and 73.1%, respectively. Due to the poor quality of the BDS AR, the convergence time of the BDS is not calculated in this paper. The convergence time of other systems is significantly reduced after AR processing, and the convergence time of the GPS\/Galileo combination is the fastest, being 17.14 min in kinematic mode and only 11.85 min in static mode. The positioning accuracy of the GPS, Galileo, GPS\/Galileo, and GPS\/Galileo\/BDS in the E and U directions is significantly improved after PPPAR.<\/jats:p>","DOI":"10.3390\/rs15215159","type":"journal-article","created":{"date-parts":[[2023,10,29]],"date-time":"2023-10-29T05:01:08Z","timestamp":1698555668000},"page":"5159","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Research on the Real-Time Ambiguity Resolution Algorithm of GPS\/Galileo\/BDS Based on CNES Real-Time Products"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7542-8728","authenticated-orcid":false,"given":"Meng","family":"Gao","sequence":"first","affiliation":[{"name":"School of Geomatics, Liaoning Technical University (LNTU), Fuxin 123000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ziheng","family":"Meng","sequence":"additional","affiliation":[{"name":"School of Geomatics, Liaoning Technical University (LNTU), Fuxin 123000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Huizhong","family":"Zhu","sequence":"additional","affiliation":[{"name":"School of Geomatics, Liaoning Technical University (LNTU), Fuxin 123000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Aigong","family":"Xu","sequence":"additional","affiliation":[{"name":"School of Geomatics, Liaoning Technical University (LNTU), Fuxin 123000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhihua","family":"Cao","sequence":"additional","affiliation":[{"name":"School of Geomatics, Liaoning Technical University (LNTU), Fuxin 123000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chunbo","family":"Tan","sequence":"additional","affiliation":[{"name":"School of Geomatics, Liaoning Technical University (LNTU), Fuxin 123000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,10,28]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"5005","DOI":"10.1029\/96JB03860","article-title":"Precise point positioning for the efficient and robust analysis of GPS data from large networks","volume":"102","author":"Zumberge","year":"1997","journal-title":"J. Geophys. Res."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1007\/PL00012883","article-title":"Precise Point Positioning Using IGS Orbit and Clock Products","volume":"5","author":"Kouba","year":"2001","journal-title":"GPS Solut."},{"key":"ref_3","first-page":"1399","article-title":"Review of GNSS PPP and its application","volume":"46","author":"Zhang","year":"2017","journal-title":"Acta Geod. Cartogr. Sin."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"1987","DOI":"10.1002\/2018JB015527","article-title":"Noise Characteristics of High-Rate Multi-GNSS for Subdaily Crustal Deformation Monitoring","volume":"123","author":"Geng","year":"2018","journal-title":"J. Geophys. Res. Solid Earth"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"54","DOI":"10.1007\/s10291-019-0840-4","article-title":"Rapid displacement determination with a stand-alone multi-GNSS receiver: GPS, Beidou, GLONASS, and Galileo","volume":"23","author":"Su","year":"2023","journal-title":"GPS Solut."},{"key":"ref_6","first-page":"14","article-title":"Decimeter accuracy, NASA\u2019s global DGPS for high precision users","volume":"12","author":"Muellerschoe","year":"2000","journal-title":"GPS World"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"607","DOI":"10.1007\/s00190-015-0802-8","article-title":"Accuracy and reliability of multi-GNSS real-time precise positioning: GPS, GLONASS, BeiDou, and Galileo","volume":"89","author":"Li","year":"2015","journal-title":"J. Geod."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1007\/s10291-022-01291-7","article-title":"Real-time precise point positioning based on BDS-3 global short message communication","volume":"26","author":"Gu","year":"2022","journal-title":"GPS Solut."},{"key":"ref_9","unstructured":"Laurichesse, D., Cerri, L., Berthias, J.P., and Mercier, F. (2013, January 16\u201320). Real time precise GPS constellation and clocks estimation by means of a Kalman Filter. Proceedings of the 26th International Technical Meeting of the Satellite Division of the Institute of Navigation (ION GNSS+ 2013), Nashville, TN, USA."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1007\/s00190-018-1138-y","article-title":"Improving multi-GNSS ultra-rapid orbit determination for real-time precise point positioning","volume":"93","author":"Li","year":"2019","journal-title":"J. Geod."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"963","DOI":"10.1007\/s00190-018-1218-z","article-title":"Multi-GNSS real-time clock estimation using sequential least square adjustment with online quality control","volume":"93","author":"Fu","year":"2019","journal-title":"J. Geod."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"1417","DOI":"10.1007\/s10291-017-0619-4","article-title":"Method for evaluating real-time GNSS satellite clock offset products","volume":"21","author":"Yao","year":"2017","journal-title":"GPS Solut."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"2942","DOI":"10.1016\/j.asr.2018.03.029","article-title":"Evaluation and analysis of real-time precise orbits and clocks products from different IGS analysis centers","volume":"61","author":"Zhang","year":"2018","journal-title":"Adv. Space Res."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"1267","DOI":"10.1007\/s00190-018-1118-2","article-title":"Real-Time Precise Point Positioning (RTPPP) with raw observations and its application in real-time regional ionospheric VTEC modeling","volume":"92","author":"Liu","year":"2018","journal-title":"J. Geod."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"66","DOI":"10.1007\/s10291-019-0856-9","article-title":"Investigation of the performance of real-time BDS-only precise point positioning using the IGS real-time service","volume":"23","author":"Wang","year":"2019","journal-title":"GPS Solut."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1080\/10095020.2022.2070554","article-title":"Quality monitoring of real-time GNSS precise positioning service system","volume":"26","author":"Ji","year":"2023","journal-title":"Geo Spat. Inf. Sci."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"1791","DOI":"10.1007\/s10291-017-0653-2","article-title":"Real-time multi-GNSS single frequency precise point positioning","volume":"21","author":"Tiberius","year":"2017","journal-title":"GPS Solut."},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Wang, Z., Li, Z., Wang, L., Wang, X., and Yuan, H. (2018). Assessment of multiple GNSS real-time SSR products from different analysis centers. ISPRS Int. J. Geo Inf., 7.","DOI":"10.3390\/ijgi7030085"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"2870","DOI":"10.1016\/j.asr.2017.03.024","article-title":"Performance assessment of multi-GNSS real-time PPP over Iran","volume":"59","author":"Abdi","year":"2017","journal-title":"Adv. Space Res."},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Liu, T., Wang, J., Yu, H., Cao, X., and Ge, Y. (2018). A new weighting approach with application to ionospheric delay constraint for GPS\/GALILEO real-time precise point positioning. Appl. Sci., 8.","DOI":"10.3390\/app8122537"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"3242","DOI":"10.1016\/j.asr.2021.06.006","article-title":"Performance Assessment of Real-time Precise Point Positioning Using BDS PPP-B2b Service Signal","volume":"68","author":"Ren","year":"2021","journal-title":"Adv. Space Res."},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Kazmierski, K., Hadas, T., and Sos\u2019nica, K. (2018). Weighting of multi-GNSS observations in real-time precise point positioning. Remote Sens., 10.","DOI":"10.3390\/rs10010084"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1007\/s10291-017-0678-6","article-title":"Quality assessment of multi-GNSS orbits and clocks for real-time precise point positioning","volume":"22","author":"Kazmierski","year":"2018","journal-title":"GPS Solut."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"234","DOI":"10.1016\/j.asr.2020.09.029","article-title":"Performance assessment of real-time Multi-GNSS integrated PPP with uncombined and ionospheric-free combined observables","volume":"67","author":"Pan","year":"2021","journal-title":"Adv. Space Res."},{"key":"ref_25","unstructured":"Gabor, M.J. (1999). GPS Carrier Phase Ambiguity Resolution Using Satellite-Satellite Single-Differences, The University of Texas."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"389","DOI":"10.1007\/s00190-007-0187-4","article-title":"Resolution of GPS carrier-phase ambiguities in Precise Point Positioning (PPP) with daily observations","volume":"82","author":"Ge","year":"2008","journal-title":"J. Geod."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1002\/j.2161-4296.2010.tb01772.x","article-title":"Undifferenced GPS Ambiguity Resolution using the Decoupled Clock Model and Ambiguity Datum Fixing","volume":"57","author":"Collins","year":"2010","journal-title":"Navigation"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"135","DOI":"10.1002\/j.2161-4296.2009.tb01750.x","article-title":"Integer Ambiguity Resolution on Undifferenced GPS Phase Measurements and Its Application to PPP and Satellite Precise Orbit Determination","volume":"56","author":"Laurichesse","year":"2009","journal-title":"Navigation"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"569","DOI":"10.1007\/s00190-010-0399-x","article-title":"Integer ambiguity resolution in precise point positioning: Method comparison","volume":"84","author":"Geng","year":"2010","journal-title":"J. Geod."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"519","DOI":"10.1007\/s10291-013-0348-2","article-title":"A comparison of three PPP integer ambiguity resolution methods","volume":"18","author":"Shi","year":"2014","journal-title":"GPS Solut."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1007\/s00190-014-0771-3","article-title":"Review and principles of PPP-RTK methods","volume":"89","author":"Teunissen","year":"2015","journal-title":"J. Geod."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1007\/s10291-019-0887-2","article-title":"FCB estimation with three different PPP models: Equivalence analysis and experiment tests","volume":"23","author":"Wang","year":"2019","journal-title":"GPS Solut."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1007\/s10291-009-0119-2","article-title":"Ambiguity resolution in precise point positioning with hourly data","volume":"13","author":"Geng","year":"2009","journal-title":"GPS Solut."},{"key":"ref_34","first-page":"1009","article-title":"Kinematic Precise Orbit Determination Based on Ambiguity-Fixed PPP","volume":"38","author":"Zhang","year":"2013","journal-title":"Geomat. Inf. Sci. Wuhan Univ."},{"key":"ref_35","first-page":"657","article-title":"A New Method for Zero-Differenced Interger Ambiguity Resolution and Its Application to PPP","volume":"35","author":"Zhang","year":"2010","journal-title":"Geomat. Inf. Sci. Wuhan Univ."},{"key":"ref_36","first-page":"833","article-title":"PPP for rapid precise positioning and orbit determination with zero-difference integer ambiguity fixing","volume":"55","author":"Li","year":"2012","journal-title":"Chin. J. Geophys."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"991","DOI":"10.1007\/s00190-012-0559-2","article-title":"Zero-difference GPS ambiguity resolution at CNES-CLS IGS Analysis Center","volume":"86","author":"Loyer","year":"2012","journal-title":"J. Geod."},{"key":"ref_38","first-page":"1230","article-title":"Modeling and Effects Analysis of PPP Ambiguity Fixing Based on Integer Phase Clock Method","volume":"12","author":"Liu","year":"2014","journal-title":"Acta Geod. Cartogr. Sin."},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"810","DOI":"10.1016\/j.asr.2020.04.054","article-title":"Assessing GPS\/Galileo real-time precise point positioning with ambiguity resolution based on phase biases from CNES","volume":"66","author":"Liu","year":"2020","journal-title":"Adv. Space Res."},{"key":"ref_40","doi-asserted-by":"crossref","unstructured":"Gazzino, C., Blot, A., Bernadotte, E., Jayle, T., Laymand, M., Lelarge, N., Lacabanne, A., and Laurichesse, D. (2023). The CNES Solutions for Improving the Positioning Accuracy with Post-Processed Phase Biases, a Snapshot Mode, and High-Frequency Doppler Measurements Embedded in Recent Advances of the PPP-WIZARD Demonstrator. Remote Sens., 15.","DOI":"10.3390\/rs15174231"},{"key":"ref_41","doi-asserted-by":"crossref","unstructured":"Du, S., Shu, B., Xie, W., Huang, G., Ge, Y., and Li, P. (2022). Evaluation of Real-time Precise Point Positioning with Ambiguity Resolution Based on Multi-GNSS OSB Products from CNES. Remote Sens., 14.","DOI":"10.3390\/rs14194970"},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"333","DOI":"10.1007\/s10291-016-0525-1","article-title":"Integrating GPS and BDS to shorten the initialization time for ambiguity-fixed PPP","volume":"21","author":"Liu","year":"2017","journal-title":"GPS Solut."},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"579","DOI":"10.1007\/s00190-017-1081-3","article-title":"Multi-GNSS phase delay estimation and PPP ambiguity resolution: GPS, BDS, GLONASS, Galileo","volume":"92","author":"Li","year":"2018","journal-title":"J. Geod."},{"key":"ref_44","doi-asserted-by":"crossref","unstructured":"Nadarajah, N., Khodabandeh, A., Wang, K., Choudhury, M., and Teunissen, P.J.G. (2018). Multi-GNSS PPP-RTK: From Large- to Small-Scale Networks. Sensors, 18.","DOI":"10.3390\/s18041078"},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1007\/s00190-022-01602-3","article-title":"GNSS observable-specific phase biases for all-frequency PPP ambiguity resolution","volume":"96","author":"Geng","year":"2022","journal-title":"J. Geod."},{"key":"ref_46","doi-asserted-by":"crossref","unstructured":"Li, B., Mi, J., Zhu, H., Gu, S., Xu, Y., Wang, H., Yang, L., Chen, Y., and Pang, Y. (2022). BDS-3\/GPS\/Galileo OSB Estimation and PPP-AR Positioning Analysis of Different Positioning Models. Remote Sens., 14.","DOI":"10.3390\/rs14174207"},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"10187","DOI":"10.1029\/JB094iB08p10187","article-title":"Carrier phase ambiguity resolution for the Global Positioning System applied to geodetic baselines up to 2000 km","volume":"94","author":"Blewitt","year":"1989","journal-title":"J. Geophys. Res. Solid Earth"},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1016\/j.asr.2014.10.002","article-title":"A simplified and unified model of mufti-GNSS precise point positioning","volume":"55","author":"Chen","year":"2015","journal-title":"Adv. Space Res."},{"key":"ref_49","unstructured":"Dach, R., Hugentobler, U., Fridez, P., and Meindl, M. (2007). Bernese GPS Software Version 5.0., Astronomical Institute, University of Bern."},{"key":"ref_50","unstructured":"Melbourne, W.G. (1985, January 15\u201319). The case for ranging in GPS-based geodetic systems. Proceedings of the First International Symposium on Precise Positioning with the Global Positioning System, Rockville, MD, USA."},{"key":"ref_51","unstructured":"W\u00fcbbena, G. (1985, January 15\u201319). Software developments for geodetic positioning with GPS using TI 4100 code and carrier measurements. Proceedings of the First International Symposium on Precise Positioning with the Global Positioning System, Rockville, MD, USA."},{"key":"ref_52","doi-asserted-by":"crossref","first-page":"3949","DOI":"10.1029\/JB094iB04p03949","article-title":"Global Positioning System Network Analysis with Phase Ambiguity Resolution Applied to Crustal Deformation Studies in California","volume":"94","author":"Dong","year":"1989","journal-title":"J. Geophys. Res. Solid Earth"},{"key":"ref_53","doi-asserted-by":"crossref","unstructured":"Gao, M., Cao, Z., Meng, Z., Tan, C., Zhu, H., and Huang, L. (2023). Algorithms Research and Precision Comparison of Different Frequency Combinations of BDS-3\\GPS\\Galileo for Precise Point Positioning in Asia-Pacific Region. Sensors, 23.","DOI":"10.3390\/s23135935"},{"key":"ref_54","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1029\/GL017i003p00199","article-title":"An Automatic Editing Algorithm for GPS data","volume":"17","author":"Blewitt","year":"1990","journal-title":"Geophys. Res. Lett."},{"key":"ref_55","first-page":"940","article-title":"Real-time Quality Control Procedure for GNSS Precise Point Positioning","volume":"37","author":"Zhang","year":"2012","journal-title":"Geomat. Inf. Sci. Wuhan Univ."}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/15\/21\/5159\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T21:13:26Z","timestamp":1760130806000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/15\/21\/5159"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,10,28]]},"references-count":55,"journal-issue":{"issue":"21","published-online":{"date-parts":[[2023,11]]}},"alternative-id":["rs15215159"],"URL":"https:\/\/doi.org\/10.3390\/rs15215159","relation":{},"ISSN":["2072-4292"],"issn-type":[{"value":"2072-4292","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,10,28]]}}}