{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T01:27:46Z","timestamp":1760232466711,"version":"build-2065373602"},"reference-count":45,"publisher":"MDPI AG","issue":"21","license":[{"start":{"date-parts":[[2022,11,6]],"date-time":"2022-11-06T00:00:00Z","timestamp":1667692800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["41971416","41974005","42064002","42104004","42122025","2019055","DQCXJ2021004","DQCXJ2021005"],"award-info":[{"award-number":["41971416","41974005","42064002","42104004","42122025","2019055","DQCXJ2021004","DQCXJ2021005"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"National Science Foundation for Outstanding Young Scholars","award":["41971416","41974005","42064002","42104004","42122025","2019055","DQCXJ2021004","DQCXJ2021005"],"award-info":[{"award-number":["41971416","41974005","42064002","42104004","42122025","2019055","DQCXJ2021004","DQCXJ2021005"]}]},{"name":"Independent Project of Naval University of Engineering","award":["41971416","41974005","42064002","42104004","42122025","2019055","DQCXJ2021004","DQCXJ2021005"],"award-info":[{"award-number":["41971416","41974005","42064002","42104004","42122025","2019055","DQCXJ2021004","DQCXJ2021005"]}]},{"name":"Graduate Innovation Foundation for Naval University of Engineering","award":["41971416","41974005","42064002","42104004","42122025","2019055","DQCXJ2021004","DQCXJ2021005"],"award-info":[{"award-number":["41971416","41974005","42064002","42104004","42122025","2019055","DQCXJ2021004","DQCXJ2021005"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>Ocean tidal variation is a key parameter for ensuring coastal safety, monitoring marine climate, and maintaining elevation datum. Recently, the ground-based global navigation satellite system reflectometry (GNSS-R) technique has been applied for regional tidal measurements, which is somewhat restricted in terms of temporal and spatial resolutions. A convenient method to improve temporal resolution of measurements is to combine multi-GNSS observations. This paper proposes a new sea-surface altimetry method using the posterior errors (PE) of dual-frequency carrier-phase signals derived from the ionosphere-free Precise Point Positioning (IF-PPP). Considering that the number of initial retrievals is obviously unsuitable for minute-level tidal measurements, both the time sliding window based on the Lomb\u2013Scargle periodogram and a weighted cubic spline smoothing function are significant processing steps for estimating the reflector heights between the sea surface and antenna center. Measurements from two coastal GNSS stations with different tidal amplitudes are used to test the proposed method and compare it with the tide gauge and the signal-to-noise ratio (SNR) methods, respectively. The experimental results show that the multi-GNSS PE combination method can be used to estimate a minute-level sea level time series, and its root-mean-squared errors (RMSE) are about 12.5 cm. In terms of correlation, for all results, the corresponding coefficients exceed 0.97. Moreover, this combined PE method demonstrates a significant advantage in increasing temporal resolution, which is beneficial for application on high-frequency sea-level monitoring.<\/jats:p>","DOI":"10.3390\/rs14215599","type":"journal-article","created":{"date-parts":[[2022,11,7]],"date-time":"2022-11-07T03:02:22Z","timestamp":1667790142000},"page":"5599","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Coastal High-Temporal Sea-Surface Altimetry Using the Posterior Error Estimations of Ionosphere-Free PPP and Information Fusion for Multi-GNSS Retrievals"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5755-1343","authenticated-orcid":false,"given":"Wei","family":"Zhou","sequence":"first","affiliation":[{"name":"Department of Navigation Engineering, Naval University of Engineering, Wuhan 430033, China"}]},{"given":"Shaofeng","family":"Bian","sequence":"additional","affiliation":[{"name":"Key Laboratory of Geological Survey and Evaluation of Ministry of Education, China University of Geosciences, Wuhan 430074, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0164-0715","authenticated-orcid":false,"given":"Yi","family":"Liu","sequence":"additional","affiliation":[{"name":"Department of Navigation Engineering, Naval University of Engineering, Wuhan 430033, China"}]},{"given":"Liangke","family":"Huang","sequence":"additional","affiliation":[{"name":"College of Geomatics and Geoinformation, Guilin University of Technology, Guilin 541004, China"}]},{"given":"Lilong","family":"Liu","sequence":"additional","affiliation":[{"name":"College of Geomatics and Geoinformation, Guilin University of Technology, Guilin 541004, China"}]},{"given":"Cheng","family":"Chen","sequence":"additional","affiliation":[{"name":"Department of Navigation Engineering, Naval University of Engineering, Wuhan 430033, China"}]},{"given":"Houpu","family":"Li","sequence":"additional","affiliation":[{"name":"Department of Navigation Engineering, Naval University of Engineering, Wuhan 430033, China"}]},{"given":"Guojun","family":"Zhai","sequence":"additional","affiliation":[{"name":"Naval Institute of Marine Environment, Tianjin 300061, China"}]}],"member":"1968","published-online":{"date-parts":[[2022,11,6]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"274","DOI":"10.1016\/j.geog.2015.07.001","article-title":"Global sea level variations from altimetry, GRACE and Argo data over 2005\u20132014","volume":"6","author":"Feng","year":"2015","journal-title":"Geod. 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