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To comprehensively evaluate the BeiDou-3 Navigation Satellite System (BDS-3) global real-time kinematic (RTK) positioning performance, five sets of IGS\/MEGX stations with different baseline lengths are selected in this research, and the visibility of current BDS-3, BDS-2+BDS-3, and Global Positioning System (GPS) system satellites are analyzed. The single frequency, dual-frequency, and triple-frequency positioning accuracy as well as ambiguity fixing rate under short baseline and long baseline are also analyzed. The experimental results show that the positioning accuracies of B1C, BII, L1, and B3I single-frequency bands were about the same, while for band B2a it was lower. For the short baseline dual-frequency RTK positioning mode, the accuracy of BDS-3 (B1C\/B2a), BDS-3 (B1I\/B3I), triple-frequency BDS-3 (B1C\/B2a\/B3I), and GPS (L1L2) is comparable and slightly better than that of BDS-3 (B1I\/B3I). With the increase in baseline length, the advantages of dual-frequency BDS-3 (B1C\/B2a) and triple frequency BDS (B1C\/B2a\/B3I) are more obvious, with triple-frequency BDS-3 (B1C\/B2a\/B3I) having the best positioning accuracy. In terms of ambiguity fixing performance, dual-frequency BDS-2+BDS-3 (B1I\/B3I) and dual-frequency GPS (L1L2) have the highest ambiguity fixing rate. The ambiguity fixing rate of dual-frequency BDS-3 (B1C\/B2a) and triple-frequency BDS-3 (B1C\/B2a\/B3I) can be higher than 90% within 100 km. In the case of positioning using only the BDS-3 system, the triple-frequency BDS-3 (B1C\/B2a\/B3I) is superior to both the dual-frequency BDS-3 (B1I\/B3I) and dual-frequency BDS-3 (B1C\/B2a) in terms of both positioning accuracy and ambiguity fixing rate. The BDS-2+BDS-3 (B1I\/B3I) dual-frequency RTK, which has reached a level comparable to GPS, can provide global users with real-time centimeter-level differential positioning services.<\/jats:p>","DOI":"10.3390\/rs14153561","type":"journal-article","created":{"date-parts":[[2022,7,26]],"date-time":"2022-07-26T00:17:27Z","timestamp":1658794647000},"page":"3561","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Evaluation of BDS\/GPS Multi-Frequency RTK Positioning Performance under Different Baseline Lengths"],"prefix":"10.3390","volume":"14","author":[{"given":"Ershen","family":"Wang","sequence":"first","affiliation":[{"name":"School of Electronic and Information Engineering, Shenyang Aerospace University, Shenyang 110136, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wei","family":"Song","sequence":"additional","affiliation":[{"name":"School of Electronic and Information Engineering, Shenyang Aerospace University, Shenyang 110136, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yize","family":"Zhang","sequence":"additional","affiliation":[{"name":"Shanghai Astronomical Observatory, Chinese Academy of Sciences, Shanghai 200030, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiaozhu","family":"Shi","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Air Traffic Management System and Technology, Nanjing 210007, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhi","family":"Wang","sequence":"additional","affiliation":[{"name":"Zhejiang Key Laboratory of General Aviation Operation Technology, Jiande 311612, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Song","family":"Xu","sequence":"additional","affiliation":[{"name":"School of Electronic and Information Engineering, Shenyang Aerospace University, Shenyang 110136, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wansen","family":"Shu","sequence":"additional","affiliation":[{"name":"School of Electronic and Information Engineering, Shenyang Aerospace University, Shenyang 110136, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,7,25]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"2135","DOI":"10.1016\/j.scib.2021.06.013","article-title":"Featured services and performance of BDS-3","volume":"66","author":"Yuanxi","year":"2021","journal-title":"Sci. Bull."},{"key":"ref_2","first-page":"1","article-title":"Performance of BDS-3: Satellite visibility and dilution of precision","volume":"23","author":"Minghua","year":"2019","journal-title":"GPS Solut."},{"key":"ref_3","first-page":"1","article-title":"Assessment of BDS-3 global positioning service: Ephemeris, SPP, PPP, RTK, and new signal","volume":"24","author":"Junbo","year":"2020","journal-title":"GPS Solut."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Zhang, Q., Zhu, Y., and Chen, Z. (2021). An In-Depth Assessment of the New BDS-3 B1C and B2a Signals. Remote Sens., 13.","DOI":"10.3390\/rs13040788"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"7","DOI":"10.1080\/14498596.2019.1642250","article-title":"Combined BeiDou-2 and BeiDou-3 instantaneous RTK positioning: Stochastic modeling and positioning performance assessment","volume":"65","author":"Weikai","year":"2020","journal-title":"J. Spat. Sci."},{"key":"ref_6","first-page":"1","article-title":"Initial assessment of single and dual-frequency BDS-3 RTK positioning","volume":"1","author":"Yunbin","year":"2020","journal-title":"Satell. Navig."},{"key":"ref_7","unstructured":"Odijk, D. (2000, January 19\u201322). Weighting ionospheric corrections to improve fast GPS positioning over medium distances. In Proceeding of the 13th International Technical Meeting of the Satellite Division of the Institute of Navigation (ION GPS 2000), Salt Lake City, UT, USA."},{"key":"ref_8","unstructured":"Takasu, T., and Yasuda, A. (2010, January 21\u201324). Kalman-Filter-Based Integer Ambiguity Resolution Strategy for Long-Baseline RTK with Ionosphere and Troposphere Estimation. Proceedings of the 23rd International Technical Meeting of the Satellite Division of the Institute of Navigation, Portland, OR, USA."},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Bao, S., Hui, L., and Xu, L. (2018). Performance Analysis of BDS Medium-Long Baseline RTK Positioning Using an Empirical Troposphere Model. Sensors, 18.","DOI":"10.3390\/s18041199"},{"key":"ref_10","unstructured":"Elliott, D.K., and Christopher, J.H. (1996). Understanding GPS Principles and Applications, Artech House. [3rd ed.]."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"3254","DOI":"10.1109\/TAES.2015.140643","article-title":"Real-time kinematic positioning over long baselines using triple-frequency BeiDou signals","volume":"51","author":"Bofeng","year":"2015","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"833","DOI":"10.1080\/10020070612330076","article-title":"A new learning statistic for adaptive filter based on predicted residuals","volume":"16","author":"Yuanxi","year":"2006","journal-title":"Prog. Nat. Sci."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"1113","DOI":"10.3390\/rs10071113","article-title":"GPS\/BDS medium\/long-range RTK constrained with tropospheric delay parameters from NWP model","volume":"10","author":"Ying","year":"2018","journal-title":"Remote Sens."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1080\/14498596.2019.1646676","article-title":"Contribution of QZSS with four satellites to multi-GNSS long baseline RTK","volume":"65","author":"Yize","year":"2020","journal-title":"J. Spat. Sci."},{"key":"ref_15","unstructured":"Mowlam, A. (2004, January 24). Baseline precision results using triple frequency partial ambiguity sets. Proceedings of the 17th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS 2004), Long Beach, CA, USA."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"535","DOI":"10.1007\/s10291-012-0299-z","article-title":"The ratio test for future GNSS ambiguity resolution","volume":"17","author":"Verhagen","year":"2013","journal-title":"GPS Solut."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"2645","DOI":"10.1016\/j.asr.2020.03.011","article-title":"The update of BDS-2 TGD and its impact on positioning","volume":"65","author":"Zhang","year":"2020","journal-title":"Adv. Space Res."},{"key":"ref_18","unstructured":"Takasu, T. (2022, July 23). RTKLIB ver.2.4.2 Manaul. Available online: https:\/\/www.rtklib.com\/prog\/manual_2.4.2.pdf."},{"key":"ref_19","first-page":"67","article-title":"The Influence of the Number of Satellites on the Accuracy of RTK GPS Positions","volume":"44","author":"Lemmon","year":"1999","journal-title":"Aust. Surv."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"1146","DOI":"10.3390\/rs14051146","article-title":"Modelling and Assessment of Single-Frequency PPP Time Transfer with BDS-3 B1I and B1C Observations","volume":"14","author":"Shengli","year":"2022","journal-title":"Remote Sens."},{"key":"ref_21","unstructured":"Teunissen, P.J.G., Odijk, D., and Odolinski, R. (2016). A Method of Analysing a Signal Transmitted between A Global Satellite Navigation Satellite System and a Receiver. (PCT\/AU2016\/050951), WO."},{"key":"ref_22","first-page":"1297","article-title":"Improving reliability and efficiency of RTK ambiguity resolution with reference antenna array: BDS+GPS analysis and test","volume":"98","author":"Shaoshi","year":"2019","journal-title":"J. Geod."}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/14\/15\/3561\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T23:56:04Z","timestamp":1760140564000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/14\/15\/3561"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,7,25]]},"references-count":22,"journal-issue":{"issue":"15","published-online":{"date-parts":[[2022,8]]}},"alternative-id":["rs14153561"],"URL":"https:\/\/doi.org\/10.3390\/rs14153561","relation":{},"ISSN":["2072-4292"],"issn-type":[{"value":"2072-4292","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,7,25]]}}}