{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,19]],"date-time":"2026-01-19T01:10:47Z","timestamp":1768785047810,"version":"3.49.0"},"reference-count":25,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2016,8,8]],"date-time":"2016-08-08T00:00:00Z","timestamp":1470614400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Nature Science Foundation of China","award":["41231064,41574032,41174031"],"award-info":[{"award-number":["41231064,41574032,41174031"]}]},{"DOI":"10.13039\/501100012166","name":"National Basic Research Program of China","doi-asserted-by":"publisher","award":["2012CB825604"],"award-info":[{"award-number":["2012CB825604"]}],"id":[{"id":"10.13039\/501100012166","id-type":"DOI","asserted-by":"publisher"}]},{"name":"CAS\/SAFEA International Partnership Program for Creative Research Teams","award":["KZZD-EW-TZ-05"],"award-info":[{"award-number":["KZZD-EW-TZ-05"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>The Beidou navigation satellite system is a very important sensor for positioning in the Asia-Pacific region. The Beidou inclined geosynchronous orbit (IGSO) and medium Earth orbit (MEO) satellites have been analysed in some studies previously conducted by other researchers; this paper seeks to gain more insight regarding the geostationary earth orbit (GEO) satellites. Employing correlation analysis, Fourier transformation and wavelet decomposition, we validate whether there is a systematic bias in their multipath combinations. These biases can be observed clearly in satellites C01, C02 and C04 and have a great correlation with time series instead of elevation, being significantly different from those of the Beidou IGSO and MEO satellites. We propose a correction model to mitigate this bias based on its daily periodicity characteristic. After the model has been applied, the performance of the positioning estimations of the eight stations distributed in the Asia-Pacific region is evaluated and compared. The results show that residuals of multipath series behaves random noise; for the single point positioning (SPP) and precise point positioning (PPP) approaches, the positioning accuracy in the upward direction can be improved by 8 cm and 6 mm, respectively, and by 2 cm and 4 mm, respectively, for the horizontal component.<\/jats:p>","DOI":"10.3390\/s16081252","type":"journal-article","created":{"date-parts":[[2016,8,8]],"date-time":"2016-08-08T10:14:38Z","timestamp":1470651278000},"page":"1252","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Analysis of the Bias on the Beidou GEO Multipath Combinations"],"prefix":"10.3390","volume":"16","author":[{"given":"Yafei","family":"Ning","sequence":"first","affiliation":[{"name":"State Key Laboratory of Geodesy and Earth\u2019s Dynamics, Institute of Geodesy and Geophysics, 340 Xudong Rd., Wuhan 430077, China"},{"name":"University of Chinese Academy of Sciences, No. 19A Yuquan Road, Beijing 100049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yunbin","family":"Yuan","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Geodesy and Earth\u2019s Dynamics, Institute of Geodesy and Geophysics, 340 Xudong Rd., Wuhan 430077, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yanju","family":"Chai","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Geodesy and Earth\u2019s Dynamics, Institute of Geodesy and Geophysics, 340 Xudong Rd., Wuhan 430077, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yong","family":"Huang","sequence":"additional","affiliation":[{"name":"School for Engineering of Matter, Transport and Energy, Arizona State University, Tempe, AZ 85282, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2016,8,8]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1007\/s10291-012-0264-x","article-title":"Precise relative positioning using real tracking data from COMPASS GEO and IGSO satellites","volume":"17","author":"Shi","year":"2013","journal-title":"GPS Solut."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1007\/s10291-012-0272-x","article-title":"Initial assessment of the COMPASS\/BeiDou-2 regional navigation satellite system","volume":"17","author":"Montenbruck","year":"2013","journal-title":"GPS Solut."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"515","DOI":"10.1007\/s00190-013-0625-4","article-title":"Orbit and clock analysis of compass GEO and IGSO satellites","volume":"87","author":"Steigenberger","year":"2013","journal-title":"J. Geod."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"475","DOI":"10.1007\/s00190-013-0622-7","article-title":"Initial results of precise orbit and clock determination for COMPASS navigation satellite system","volume":"87","author":"Zhao","year":"2013","journal-title":"J. Geod."},{"key":"ref_5","unstructured":"Guo, J., Zhao, Q., Geng, T., Su, X., and Liu, J. (2013). China Satellite Navigation Conference (CSNC) 2013 Proceedings, Springer."},{"key":"ref_6","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_7","doi-asserted-by":"crossref","first-page":"150","DOI":"10.1016\/j.asr.2014.10.010","article-title":"Assessment of precipitable water vapor derived from ground-based BeiDou observations with Precise Point Positioning approach","volume":"55","author":"Li","year":"2015","journal-title":"Adv. Space Res."},{"key":"ref_8","unstructured":"Rocken, C., and Meertens, C. (1992). UNAVCO Receiver Tests, UNAVCO Memo, University of Colorado Boulder Publishing."},{"key":"ref_9","unstructured":"Kee, C., and Parkinson, B. (1994, January 20\u201323). Calibration of multipath errors on GPS pseudorange measurements. Proceedings of the 7th International Technical Meeting of the Satellite Division of the Institute of Navigation, Salt Lake City, UT, USA."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"493","DOI":"10.1007\/978-3-642-37398-5_45","article-title":"Analysis of signal characteristics and positioning performance affected by pseudorange multipath for COMPASS","volume":"Volume 243","author":"Zhang","year":"2013","journal-title":"China Satellite Navigation Conference (CSNC) 2013 Proceedings"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1007\/s10291-014-0374-8","article-title":"Multipath analysis of code measurements for BeiDou geostationary satellites","volume":"19","author":"Wang","year":"2015","journal-title":"GPS Solut."},{"key":"ref_12","unstructured":"Zhou, D. (2009). Multipath Error Research Based on Wavelet Transform. [Master\u2019s Thesis, Jiangxi University of Science and Technology]."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1007\/s10291-011-0203-2","article-title":"A multi-technique approach for characterizing the SVN49 signal anomaly, part 1: Receiver tracking and IQ constellation","volume":"16","author":"Hauschild","year":"2012","journal-title":"GPS Solut."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"639","DOI":"10.1007\/s10291-014-0423-3","article-title":"BeiDou satellite-induced code pseudorange variations: Diagnosis and therapy","volume":"19","author":"Wanninger","year":"2015","journal-title":"GPS Solut."},{"key":"ref_15","unstructured":"Gisbert, J.V.P., Batzilis, N., Risue\u00f1o, G.L., and Rubio, J.A. (2012, January 17\u201321). GNSS payload and signal characterization using a 3 m dish antenna. Proceedings of the 25th International Technical Meeting of The Satellite Division of the Institute of Navigation (ION GNSS 2012), Nashville, TN, USA."},{"key":"ref_16","first-page":"44","article-title":"Getting a grip on multi-GNSS: The international GNSS service MGEX campaign","volume":"24","author":"Montenbruck","year":"2013","journal-title":"GPS World"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"123","DOI":"10.3390\/s16010123","article-title":"Analysis of Beidou Satellite Measurements with Code Multipath and Geometry-Free Ionosphere-Free Combinations","volume":"16","author":"Zhao","year":"2016","journal-title":"Sensors"},{"key":"ref_18","unstructured":"Ma, X., and Shen, Y. (November, January 31). Multipath analysis of COMPASS triple frequency observations. Proceedings of the International Symposium on GPS\/GNSS, Xi\u2019an, China."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"411","DOI":"10.1007\/978-3-642-54737-9_36","article-title":"Analysis of Characteristics of BDS Observable Combinations for Wide-Lane Integer Ambiguity Resolution","volume":"Volume 303","author":"Wang","year":"2014","journal-title":"China Satellite Navigation Conference (CSNC) 2014 Proceedings: Volume I"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"545","DOI":"10.1007\/s10291-014-0409-1","article-title":"Carrier phase multipath mitigation for BeiDou navigation satellite system","volume":"19","author":"Ye","year":"2015","journal-title":"GPS Solut."},{"key":"ref_21","unstructured":"Ye, J., Xiao, C., Esteves, R.M., and Rong, C. (2015). Cloud Computing and Big Data, Springer International Publishing."},{"key":"ref_22","unstructured":"Ronald, N., and Bracewell, R. (1965). The Fourier Transform and Its Applications, McGraw Hill Publishing."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"3395","DOI":"10.3390\/s140203395","article-title":"Corrosion in Reinforced Concrete Panels: Wireless Monitoring and Wavelet-Based Analysis","volume":"14","author":"Qiao","year":"2014","journal-title":"Sensors"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"1840","DOI":"10.1007\/S11434-015-0911-Z","article-title":"Characterization of multi-GNSS between-receiver differential code biases using zero and short baselines","volume":"60","author":"Zhang","year":"2015","journal-title":"Sci. Bull."},{"key":"ref_25","doi-asserted-by":"crossref","unstructured":"Zhang, B. (2016). Three methods to retrieve slant total electron content measurements from ground-based GPS receivers and performance assessment. Radio Sci.","DOI":"10.1002\/2015RS005916"}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/16\/8\/1252\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T19:27:57Z","timestamp":1760210877000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/16\/8\/1252"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,8,8]]},"references-count":25,"journal-issue":{"issue":"8","published-online":{"date-parts":[[2016,8]]}},"alternative-id":["s16081252"],"URL":"https:\/\/doi.org\/10.3390\/s16081252","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,8,8]]}}}