{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,10]],"date-time":"2026-07-10T19:43:41Z","timestamp":1783712621984,"version":"3.55.0"},"reference-count":32,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2021,7,29]],"date-time":"2021-07-29T00:00:00Z","timestamp":1627516800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100017700","name":"Henan Provincial Science and Technology Research Project","doi-asserted-by":"publisher","award":["No. 212102210272."],"award-info":[{"award-number":["No. 212102210272."]}],"id":[{"id":"10.13039\/501100017700","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Information"],"abstract":"<jats:p>Currently, the research on the inversion of wave height by using the shadow statistical method attracts more attention, due to the benefit of without external calibration equipment. Under the assumption of the sea wave satisfying the ideal first-order dispersion relation, the wave period is used to describe the relationship between wave slope and significant wave height. However, the influence of the sea surface current is ignored during the process of extracting the wave height, since the ideal first-order dispersion relation is adopted. By deeply investigating the theoretical derivation process, the retrieving accuracy of wave height is deteriorated when the surface current exists. To solve this problem of the shadow statistical method, the influence of the surface current on the wave height inversion is investigated and is considered in the first-order dispersion relation for retrieving significant wave height in this paper. The synthetic and the collected X-band marine radar images are utilized to certify the influence of sea surface current on the inversion of the significant wave height. The experimental results demonstrate that the inversion accuracy of the significant wave height can be improved when the influence of the surface current is taken into account.<\/jats:p>","DOI":"10.3390\/info12080303","type":"journal-article","created":{"date-parts":[[2021,7,29]],"date-time":"2021-07-29T10:47:46Z","timestamp":1627555666000},"page":"303","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Influence of Sea Surface Current on Wave Height Inversion in Shadow Statistical Method"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8032-2314","authenticated-orcid":false,"given":"Yanbo","family":"Wei","sequence":"first","affiliation":[{"name":"College of Physical and Electronic Information, Luoyang Normal University, No. 6 Jiqing Road, Luoyang 471934, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yike","family":"Liu","sequence":"additional","affiliation":[{"name":"College of Physical and Electronic Information, Luoyang Normal University, No. 6 Jiqing Road, Luoyang 471934, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1461-9093","authenticated-orcid":false,"given":"Zhizhong","family":"Lu","sequence":"additional","affiliation":[{"name":"College of Intelligent Systems Science and Engineering, Harbin Engineering University, No. 145 Nantong Street, Harbin 150001, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yuying","family":"Zhang","sequence":"additional","affiliation":[{"name":"College of Intelligent Systems Science and Engineering, Harbin Engineering University, No. 145 Nantong Street, Harbin 150001, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2021,7,29]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Huang, W., Liu, X., and Gill, E.W. (2017). Ocean wind and wave measurements using X-band marine radar: A comprehensive review. Remote Sens., 9.","DOI":"10.3390\/rs9121261"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"4225","DOI":"10.1109\/TGRS.2019.2961807","article-title":"Identification of rain and low-backscatter regions in X-band marine radar images: An unsupervised approach","volume":"58","author":"Chen","year":"2020","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_3","first-page":"799","article-title":"Sea wind direction extraction by X-band radar in moving platform","volume":"38","author":"Lu","year":"2016","journal-title":"Syst. Eng. Electron."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"111688","DOI":"10.1016\/j.rse.2020.111688","article-title":"Rapid wavelet-based bathymetry inversion method for nearshore X-band radars","volume":"240","author":"Chernyshov","year":"2020","journal-title":"Remote Sens. Environ."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"4845","DOI":"10.1109\/TGRS.2018.2840133","article-title":"Verifying high-accuracy ocean surface current measurements by x-band radar for fixed and moving installations","volume":"56","author":"Gangeskar","year":"2018","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"204880","DOI":"10.1109\/ACCESS.2020.3037157","article-title":"A Method for retrieving wave parameters from synthetic X-band marine radar images","volume":"8","author":"Wei","year":"2020","journal-title":"IEEE Access"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"7594","DOI":"10.1109\/TGRS.2019.2914437","article-title":"Observation and intercomparison of wave motion and wave measurement using shore-based coherent microwave radar","volume":"57","author":"Chen","year":"2019","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"142","DOI":"10.1029\/JC090iC01p01049","article-title":"A three dimensional analysis of marine radar images for the determination of ocean wave directionality and surface currents","volume":"90","author":"Young","year":"1985","journal-title":"J. Geophys. Res."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1049\/iet-rsn:20070027","article-title":"Signal-to-noise ratio analysis to estimate ocean wave heights from x-band marine radar image time series","volume":"2","author":"Hessner","year":"2008","journal-title":"IET Radar Sonar Navig."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1029\/2012JC007912","article-title":"Wave shadowing and modulation of microwave backscatter from the ocean","volume":"117","author":"Plant","year":"2012","journal-title":"J. Geophys. Res. Ocean."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"3373","DOI":"10.1109\/TGRS.2013.2272701","article-title":"An algorithm for estimation of wave height from shadowing in X-band radar sea surface images","volume":"52","author":"Gangeskar","year":"2014","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"999","DOI":"10.1007\/s10236-014-0725-6","article-title":"Marine radar ocean wave retrieval\u2019s dependency on range and azimuth","volume":"64","author":"Lund","year":"2014","journal-title":"Ocean. Dyn."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"534","DOI":"10.1109\/JOE.2005.857524","article-title":"Wind- and wave-field measurements using marine X-band radar-image sequences","volume":"30","author":"Dankert","year":"2013","journal-title":"IEEE J. Ocean. Eng."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1175\/JTECH-D-12-00027.1","article-title":"Real-time ocean wind vector retrieval from marine radar image sequences acquired at grazing angle","volume":"30","author":"Horstmann","year":"2013","journal-title":"J. Atmos. Ocean. Technol."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"1078053","DOI":"10.1155\/2016\/1078053","article-title":"Wave height estimation from shipborne X-band nautical radar images","volume":"2016","author":"Liu","year":"2016","journal-title":"J. Sens."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"343","DOI":"10.1080\/07038992.2016.1177450","article-title":"Comparison of wave height measurement algorithms for ship-borne X-band nautical radar","volume":"42","author":"Liu","year":"2016","journal-title":"Can. J. Remote Sens."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Wei, Y., Lu, Z., Pian, G., and Liu, H. (2017). Wave height estimation from shadowing based on the acquired X-band marine radar images in coastal area. Remote Sens., 9.","DOI":"10.3390\/rs9080859"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"4500","DOI":"10.1002\/2016JC012413","article-title":"Small-scale open ocean currents have large effects on wind wave heights","volume":"122","author":"Ardhuin","year":"2017","journal-title":"J. Geophys. Res. Ocean."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"2793","DOI":"10.1002\/2014JC010565","article-title":"Surface wave effects in the NEMO ocean model: Forced and coupled experiments","volume":"120","author":"Breivik","year":"2015","journal-title":"J. Geophys. Res. Ocean."},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Ludeno, G., Reale, F., Dentale, F., Carratelli, E.P., Natale, A., and Serafino, F. (2015). Estimating Nearshore Bathymetry from X-Band Radar Data. Coast. Ocean Obs. Syst., 265\u2013280.","DOI":"10.1016\/B978-0-12-802022-7.00015-8"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"e2020JC016841","DOI":"10.1029\/2020JC016841","article-title":"Nearshore monitoring with X-band radar: Maximizing utility in dynamic and complex environments","volume":"126","author":"Atkinson","year":"2021","journal-title":"J. Geophys. Res. Ocean."},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Ludeno, G., and Serafino, F. (2019). Estimation of the significant wave height from marine radar images without external reference. J. Mar. Sci. Eng., 7.","DOI":"10.3390\/jmse7120432"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"1740","DOI":"10.1109\/LGRS.2017.2733538","article-title":"Estimation of significant wave height from X-band marine radar images based on ensemble empirical mode decomposition","volume":"17","author":"Liu","year":"2017","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1080\/14498596.2019.1601137","article-title":"Oean wave height inversion under low sea state from horizontal polarized X-band nautical radar images","volume":"66","author":"Wang","year":"2021","journal-title":"J. Spat. Sci."},{"key":"ref_25","doi-asserted-by":"crossref","unstructured":"Chen, X., and Huang, W. (2021). Spatial-temporal convolutional gated recurrent unit network for significant wave height estimation from shipborne marine radar data. IEEE Trans. Geosci. Remote Sens.","DOI":"10.1109\/TGRS.2021.3074075"},{"key":"ref_26","doi-asserted-by":"crossref","unstructured":"Wu, L.-C., Doong, D.-J., and Lai, J.-W. (2021). Influences of nononshore winds on significant wave height estimations using coastal X-band radar images. IEEE Trans. Geosci. Remote Sens.","DOI":"10.1109\/TGRS.2021.3077903"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"7753","DOI":"10.3390\/rs70607753","article-title":"An algorithm for surface current retrieval from X-band marine radar images","volume":"7","author":"Shen","year":"2015","journal-title":"Remote Sens."},{"key":"ref_28","doi-asserted-by":"crossref","unstructured":"Hessner, K.G., El Naggar, S., von Appen, W.-J., and Strass, V.H. (2019). On the reliability of surface current measurements by X-band marine radar. Remote Sens., 11.","DOI":"10.3390\/rs11091030"},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"Chen, Z., Zhang, B., Kudryavtsev, V., He, Y., and Chu, X. (2019). Estimation of sea surface current from X-band marine radar images by cross-spectrum analysis. Remote Sens., 11.","DOI":"10.3390\/rs11091031"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"2988","DOI":"10.1109\/TGRS.2015.2509781","article-title":"Surface current measurements using X-band marine radar with vertical polarization","volume":"54","author":"Huang","year":"2016","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"5207","DOI":"10.1109\/JSTARS.2021.3076693","article-title":"Evaluation and mitigation of rain effect on wave direction and period estimation from X-band marine radar images","volume":"14","author":"Yang","year":"2021","journal-title":"IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens."},{"key":"ref_32","first-page":"1845","article-title":"Research on the extraction algorithm of ocean surface current based on sea clutter image","volume":"32","author":"Yuan","year":"2011","journal-title":"Chin. J. Sci. Instrum."}],"container-title":["Information"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2078-2489\/12\/8\/303\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T06:36:35Z","timestamp":1760164595000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2078-2489\/12\/8\/303"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,7,29]]},"references-count":32,"journal-issue":{"issue":"8","published-online":{"date-parts":[[2021,8]]}},"alternative-id":["info12080303"],"URL":"https:\/\/doi.org\/10.3390\/info12080303","relation":{},"ISSN":["2078-2489"],"issn-type":[{"value":"2078-2489","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,7,29]]}}}