{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T00:14:19Z","timestamp":1760228059602,"version":"build-2065373602"},"reference-count":51,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2022,5,6]],"date-time":"2022-05-06T00:00:00Z","timestamp":1651795200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Natural Science Foundation of China","award":["No. 41975030","No. 2021JJ20046","No. 2021M701650"],"award-info":[{"award-number":["No. 41975030","No. 2021JJ20046","No. 2021M701650"]}]},{"name":"Excellent Youth Scholars of Natural Science Foundation of Hunan Province of China","award":["No. 41975030","No. 2021JJ20046","No. 2021M701650"],"award-info":[{"award-number":["No. 41975030","No. 2021JJ20046","No. 2021M701650"]}]},{"name":"China Postdoctoral Science Foundation","award":["No. 41975030","No. 2021JJ20046","No. 2021M701650"],"award-info":[{"award-number":["No. 41975030","No. 2021JJ20046","No. 2021M701650"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>High-precision retrieval of rainfall over large areas is of great importance for the research of atmospheric detection and the social life. With the rapid development of communication satellite constellations and 5G communication networks, the use of widely distributed networks of earth\u2013space links (ESLs) and horizontal microwave links (HMLs) to retrieve rainfall over large areas has great potential for obtaining high-precision rainfall fields and complementing traditional instruments of rainfall measurement. In this paper, we carry out the research of combining multiple ESLs with HMLs to retrieve rainfall fields. Firstly, a rainfall detection network for retrieving rainfall fields is built based on the atmospheric propagation model of ESL and HML. Then, the ordinary Kriging interpolation (OK) and radial basis function (RBF) neural network are applied to the reconstruction of rainfall fields. Finally, the performance of the joint network of ESLs and HMLs to retrieve rainfall fields in the area is validated. The results show that the joint network of ESLs and HMLs based on OK algorithm and RBF neural network is capable of retrieving the distribution of rain rates in different rain cells with high accuracy, and the root mean square error (RMSE) of retrieving the rain rates of real rainfall fields is lower than 0.56 mm\/h, and the correlation coefficient (CC) is higher than 0.996. In addition, the CC for retrieving stratiform rainfall and convective rainfall by the joint network of ESLs and HMLs is higher than 0.949, indicating that the characteristics of the two different types of rainfall events can be accurately monitored.<\/jats:p>","DOI":"10.3390\/rs14092220","type":"journal-article","created":{"date-parts":[[2022,5,8]],"date-time":"2022-05-08T23:27:25Z","timestamp":1652052445000},"page":"2220","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Research on the Method of Rainfall Field Retrieval Based on the Combination of Earth\u2013Space Links and Horizontal Microwave Links"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3744-820X","authenticated-orcid":false,"given":"Yingcheng","family":"Zhao","sequence":"first","affiliation":[{"name":"College of Meteorology and Oceanography, National University of Defense Technology, Changsha 410073, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3393-3988","authenticated-orcid":false,"given":"Xichuan","family":"Liu","sequence":"additional","affiliation":[{"name":"College of Meteorology and Oceanography, National University of Defense Technology, Changsha 410073, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kang","family":"Pu","sequence":"additional","affiliation":[{"name":"College of Meteorology and Oceanography, National University of Defense Technology, Changsha 410073, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8768-4198","authenticated-orcid":false,"given":"Jin","family":"Ye","sequence":"additional","affiliation":[{"name":"College of Meteorology and Oceanography, National University of Defense Technology, Changsha 410073, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Minghao","family":"Xian","sequence":"additional","affiliation":[{"name":"College of Meteorology and Oceanography, National University of Defense Technology, Changsha 410073, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,5,6]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"3044","DOI":"10.1038\/s41467-020-16757-w","article-title":"Climate change will affect global water availability through compounding changes in seasonal precipitation and evaporation","volume":"11","author":"Konapala","year":"2020","journal-title":"Nat. Commun."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"3185","DOI":"10.1002\/joc.4210","article-title":"Crowdsourcing for climate and atmospheric sciences: Current status and future potential","volume":"35","author":"Muller","year":"2015","journal-title":"Int. J. Climatol."},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Gragnani, G.L., Colli, M., Tavanti, E., and Caviglia, D.D. (2021). Advanced Real-Time Monitoring of Rainfall Using Commercial Satellite Broadcasting Service: A Case Study. Sensors, 21.","DOI":"10.3390\/s21030691"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1016\/j.jhydrol.2013.03.042","article-title":"Quality control of rain gauge measurements using telecommunication microwave links","volume":"492","author":"Blandine","year":"2013","journal-title":"J. Hydrol."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"3879","DOI":"10.5194\/hess-21-3879-2017","article-title":"The Future of Earth Observation in Hydrology","volume":"21","author":"McCabe","year":"2017","journal-title":"Hydrol. Earth Syst. Sc."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"1585","DOI":"10.5194\/amt-6-1585-2013","article-title":"A comparison of rainfall measurements from multiple instruments","volume":"6","author":"Liu","year":"2013","journal-title":"Atmos. Meas. Tech."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"1103","DOI":"10.1007\/s00376-019-8225-8","article-title":"Microphysical Characteristics of Precipitation during Pre-monsoon, Monsoon, and Post-monsoon Periods over the South China Sea","volume":"36","author":"Qingwei","year":"2019","journal-title":"Adv. Atmos. Sci."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"L13816","DOI":"10.1029\/2005GL023210","article-title":"Dual-frequency radar ratio of nonspherical atmospheric hydrometeors","volume":"32","author":"Matrosov","year":"2005","journal-title":"Geophys. Res. Lett."},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Getirana, A., Kirschbaum, D.B., Mandarino, F., Ottoni, M., and Arsenault, K. (2020). Potential of GPM IMERG Precipitation Estimates to Monitor Natural Disaster Triggers in Urban Areas: The Case of Rio de Janeiro, Brazil. Remote Sens., 12.","DOI":"10.3390\/rs12244095"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"100","DOI":"10.1016\/j.atmosres.2019.06.020","article-title":"Comparative measurement of rainfall with a precipitation micro-physical characteristics sensor, a 2D video disdrometer, an OTT PARSIVEL disdrometer, and a rain gauge","volume":"229","author":"Xichuan","year":"2019","journal-title":"Atmos. Res."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1748","DOI":"10.1175\/JTECH-D-14-00016.1","article-title":"Using Microwave Backhaul Links to Optimize the Performance of Algorithms for Rainfall Estimation and Attenuation Correction","volume":"31","author":"Ziegert","year":"2014","journal-title":"J. Atmos. Ocean. Technol."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"713","DOI":"10.1126\/science.1120034","article-title":"Environmental Monitoring by Wireless Communication Networks","volume":"312","author":"Hagit","year":"2006","journal-title":"Science"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"2181","DOI":"10.5194\/amt-6-2181-2013","article-title":"Rainfall measurement from the opportunistic use of an Earth\u2013space link in the Ku band","volume":"6","author":"Mallet","year":"2013","journal-title":"Atmos. Meas. Tech."},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Arslan, C.H., Aydin, K., Urbina, J., and Dyrud, L.P. (2014, January 13\u201318). Rainfall measurements using satellite downlink attenuation. Proceedings of the 2014 IEEE Geoscience and Remote Sensing Symposium, Quebec City, QC, Canada.","DOI":"10.1109\/IGARSS.2014.6947391"},{"key":"ref_15","unstructured":"Song, K., Liu, X., and Gao, T. (2021). Potential Application of Using Smartphone Sensor for Estimating Air Temperature: Experimental Study. IEEE Internet Things, 1."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"2741","DOI":"10.1073\/pnas.1217961110","article-title":"Country-wide rainfall maps from cellular communication networks","volume":"110","author":"Overeem","year":"2013","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"2425","DOI":"10.5194\/amt-9-2425-2016","article-title":"Retrieval algorithm for rainfall mapping from microwave links in a cellular communication network","volume":"9","author":"Overeem","year":"2016","journal-title":"Atmos. Meas. Tech."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"L7403","DOI":"10.1029\/2007GL029409","article-title":"Path-averaged rainfall estimation using microwave links: Uncertainty due to spatial rainfall variability","volume":"34","author":"Berne","year":"2007","journal-title":"Geophys. Res. Lett."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"2535","DOI":"10.5194\/amt-3-1385-2010","article-title":"Prediction of rainfall intensity measurement errors using commercial microwave communication links","volume":"3","author":"Zinevich","year":"2010","journal-title":"Atmos. Meas. Tech."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"1586","DOI":"10.1109\/LAWP.2020.3011463","article-title":"Wet Antenna Attenuation Model of E-Band Microwave Links Based on the LSTM Algorithm","volume":"19","author":"Pu","year":"2020","journal-title":"IEEE Antenn. Wirel. Propag."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"6888","DOI":"10.1109\/TGRS.2020.2977393","article-title":"Machine Learning Classification of Rainfall Types Based on the Differential Attenuation of Multiple Frequency Microwave Links","volume":"58","author":"Pu","year":"2020","journal-title":"IEEE Trans. Geosci. Remote."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"7251870","DOI":"10.1155\/2019\/7251870","article-title":"Raindrop Size Distribution Retrieval Using Joint Dual-Frequency and Dual-Polarization Microwave Links","volume":"2019","author":"Song","year":"2019","journal-title":"Adv. Meteorol."},{"key":"ref_23","doi-asserted-by":"crossref","unstructured":"Han, C., Huo, J., Gao, Q., Su, G., and Wang, H. (2020). Rainfall Monitoring Based on Next-Generation Millimeter-Wave Backhaul Technologies in a Dense Urban Environment. Remote Sens., 12.","DOI":"10.3390\/rs12061045"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"1317","DOI":"10.1175\/2008JAMC2014.1","article-title":"Frontal Rainfall Observation by a Commercial Microwave Communication Network","volume":"48","author":"Zinevich","year":"2009","journal-title":"J. Appl. Meteorol. Clim."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"1616","DOI":"10.1109\/TSP.2009.2012554","article-title":"Rain Rate Estimation Using Measurements From Commercial Telecommunications Links","volume":"57","author":"Goldshtein","year":"2009","journal-title":"IEEE Trans. Signal Proces."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"1470","DOI":"10.1016\/j.advwatres.2008.03.003","article-title":"Estimation of rainfall fields using commercial microwave communication networks of variable density","volume":"31","author":"Zinevich","year":"2008","journal-title":"Adv. Water Resour."},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Mugnai, C., Cuccoli, F., and Sermi, F. (2014, January 29). Rainfall estimation with a commercial tool for satellite internet in Ka band: Concept and preliminary data analysis. Proceedings of the SPIE, Remote sensing for Agriculture, Ecosystems, and Hydrology XVI, Amsterdam, The Netherlands.","DOI":"10.1117\/12.2067263"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"3656","DOI":"10.1109\/JSTARS.2020.3004375","article-title":"Rainfall Monitoring Based on Machine Learning by Earth-Space Link in the Ku Band","volume":"13","author":"Xian","year":"2020","journal-title":"IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1109\/MAES.2019.2916292","article-title":"The NEFOCAST System for Detection and Estimation of Rainfall Fields by the Opportunistic Use of Broadcast Satellite Signals","volume":"34","author":"Giannetti","year":"2019","journal-title":"IEEE Aerosp. Electron. Syst. Mag."},{"key":"ref_30","doi-asserted-by":"crossref","unstructured":"Giro, R.A., Luini, L., and Riva, C.G. (2020). Rainfall Estimation from Tropospheric Attenuation Affecting Satellite Links. Information, 11.","DOI":"10.3390\/info11010011"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"6451","DOI":"10.1109\/TGRS.2020.3027465","article-title":"An Improvement to Precipitation Inversion Model Using Oblique Earth\u2013Space Link Based on the Melting Layer Attenuation","volume":"59","author":"Xian","year":"2021","journal-title":"IEEE Trans. Geosci. Remote."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"9486","DOI":"10.1109\/JSTARS.2021.3111336","article-title":"Statistical Study of Rainfall Inversion Using the Earth-Space Link at the Ku Band: Optimization and Validation for 1 Year of Data","volume":"14","author":"Zhao","year":"2021","journal-title":"IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens."},{"key":"ref_33","unstructured":"Lu, X., Xi, S., Huang, D.D., Feng, X., and Wang, W. (2017, January 11\u201313). Tomographic reconstruction of rainfall fields using satellite communication links. Proceedings of the 2017 23rd Asia-Pacific Conference on Communications (APCC), Perth, WA, USA."},{"key":"ref_34","doi-asserted-by":"crossref","unstructured":"Xian, M., Liu, X., Song, K., and Gao, T. (2020). Reconstruction and Nowcasting of Rainfall Field by Oblique Earth-Space Links Network: Preliminary Results from Numerical Simulation. Remote Sens., 12.","DOI":"10.3390\/rs12213598"},{"key":"ref_35","doi-asserted-by":"crossref","unstructured":"Csurgai-Horv\u00e1th, L. (2020). Small Scale Rain Field Sensing and Tomographic Reconstruction with Passive Geostationary Satellite Receivers. Remote Sens., 12.","DOI":"10.3390\/rs12244161"},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"6266","DOI":"10.1109\/TGRS.2020.2976137","article-title":"Rainfall Fields Monitoring Based on Satellite Microwave Down-Links and Traditional Techniques in the City of Genoa","volume":"58","author":"Colli","year":"2020","journal-title":"IEEE Trans. Geosci. Remote."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"1012","DOI":"10.1038\/s41550-020-1141-0","article-title":"Hopes and concerns for astronomy of satellite constellations","volume":"4","author":"Levchenko","year":"2020","journal-title":"Nat. Astron."},{"key":"ref_38","doi-asserted-by":"crossref","unstructured":"Giannetti, F., Reggiannini, R., Moretti, M., Adirosi, E., Baldini, L., Facheris, L., Antonini, A., Melani, S., Bacci, G., and Petrolino, A. (2017). Real-Time Rain Rate Evaluation via Satellite Downlink Signal Attenuation Measurement. Sensors, 17.","DOI":"10.3390\/s17081864"},{"key":"ref_39","doi-asserted-by":"crossref","unstructured":"Shen, X., Huang, D.D., Wang, W., Prein, A.F., and Togneri, R. (2020). Retrieval of Cloud Liquid Water Using Microwave Signals from LEO Satellites: A Feasibility Study through Simulations. Atmosphere, 11.","DOI":"10.3390\/atmos11050460"},{"key":"ref_40","unstructured":"ITU-R (2022, January 15). Recommendation P.838-3 Specific Attenuation Model for Rain for Use in Prediction Methods. Technical Report. Available online: https:\/\/www.itu.int\/dms_pubrec\/itu-r\/rec\/p\/R-REC-P.838-3-200503-I!!PDF-E.pdf."},{"key":"ref_41","unstructured":"ITU-R (2022, January 15). Recommendation P.839-4 Rain Height Model for Prediction Methods. Technical Report. Available online: https:\/\/www.itu.int\/dms_pubrec\/itu-r\/rec\/p\/R-REC-P.839-4-201309-I!!PDF-E.pdf."},{"key":"ref_42","first-page":"154","article-title":"Method and experiment of path rainfall intensity inversion using a microwave link based on nonspherical rain-induced model","volume":"66","author":"Song","year":"2017","journal-title":"Acta Phys. Sin.-Chin. Ed."},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"318","DOI":"10.1109\/TAP.1978.1141845","article-title":"The aRb relation in the calculation of rain attenuation","volume":"26","author":"Olsen","year":"1978","journal-title":"IEEE Trans."},{"key":"ref_44","doi-asserted-by":"crossref","unstructured":"Dowd, P.A. (1984). The Variogram and Kriging: Robust and Resistant Estimators. Geostatistics for Natural Resources Characterization, Springer.","DOI":"10.1007\/978-94-009-3699-7_6"},{"key":"ref_45","first-page":"526","article-title":"Geostatistics for Environmental Scientists","volume":"52","author":"Lark","year":"2001","journal-title":"J. R. Stat. Soc. A Stat."},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"4133","DOI":"10.1007\/s00521-021-06373-0","article-title":"An efficient multilayer RBF neural network and its application to regression problems","volume":"34","author":"Jiang","year":"2022","journal-title":"Neural. Comput. Appl."},{"key":"ref_47","first-page":"181","article-title":"Mathematical models of rainstorm events in space and time","volume":"23","author":"Eagleson","year":"2010","journal-title":"Water Resour. Res."},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1175\/1520-0469(1999)056<0057:TRBTAA>2.0.CO;2","article-title":"The Relation between the Area-Average Rain Rate and the Rain Cell Size Distribution Parameters","volume":"56","author":"Sauvageot","year":"2010","journal-title":"J. Atmos. Sci."},{"key":"ref_49","first-page":"3225","article-title":"Impact of rain cell on scatterometer data: 1. Theory and modeling","volume":"108","author":"Tournadre","year":"2003","journal-title":"J. Geophys. Res. Part C Ocean."},{"key":"ref_50","first-page":"21","article-title":"HYCELL\u2014A new hybrid model of the rain horizontal distribution for propagation studies. I. Modeling of the rain cell","volume":"38","author":"Feral","year":"2003","journal-title":"Radio Sci."},{"key":"ref_51","doi-asserted-by":"crossref","first-page":"287","DOI":"10.1175\/1525-7541(2004)005<0487:CAMTPG>2.0.CO;2","article-title":"CMORPH: A Method that Produces Global Precipitation Estimates from Passive Microwave and Infrared Data at High Spatial and Temporal Resolution","volume":"5","author":"Joyce","year":"2004","journal-title":"J. Hydrometeorol."}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/14\/9\/2220\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T23:06:51Z","timestamp":1760137611000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/14\/9\/2220"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,5,6]]},"references-count":51,"journal-issue":{"issue":"9","published-online":{"date-parts":[[2022,5]]}},"alternative-id":["rs14092220"],"URL":"https:\/\/doi.org\/10.3390\/rs14092220","relation":{},"ISSN":["2072-4292"],"issn-type":[{"type":"electronic","value":"2072-4292"}],"subject":[],"published":{"date-parts":[[2022,5,6]]}}}