{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,3]],"date-time":"2026-04-03T14:22:00Z","timestamp":1775226120509,"version":"3.50.1"},"reference-count":49,"publisher":"MDPI AG","issue":"16","license":[{"start":{"date-parts":[[2024,8,13]],"date-time":"2024-08-13T00:00:00Z","timestamp":1723507200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Natural Science Foundation of China","award":["62271487"],"award-info":[{"award-number":["62271487"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>Airborne aircrafts are dependent on the Global Navigation Satellite System (GNSS), which is susceptible to interference due to the satellite base-station and cooperative communication. Synthetic aperture radar altimeter (SARAL) provides the ability to measure the topographic terrain for matching with Digital Elevation Model (DEM) to achieve positioning without relying on GNSS. However, due to the near-vertical coupling in the delay-Doppler map (DDM), the similarity of DDMs of adjacent apertures is high, and the probability of successful matching is low. To this end, a novel neural network of terrain matching and aircraft positioning is proposed based on the airborne SARAL imagery. The model-driven terrain matching and aircraft positioning network (TMP-Net) is capable of realizing aircraft positioning by utilizing the real-time DDMs to match with the DEM-based DDM references, which are generated by a point-by-point coupling mechanism between the airborne routine and ground terrain DEM. Specifically, the training dataset is established by a numerical simulation method based on a semi-analytical model. Therefore, DEM-based DDM references can be generated by forward deduction when only regional DEM can be obtained. In addition to the model-based DDM generation, feature extraction, and similarity measurement, an aircraft positioning module is added. Three different positioning methods are designed to achieve the aircraft positioning, where three-point weighting exhibits the best performance in terms of positioning accuracy. Due to the fact that both the weighted triplet loss and softmax loss are employed in a cooperative manner, the matching accuracy can be improved and the positioning error can be reduced. Finally, both simulated and measured airborne datasets are used to validate the effectiveness of the proposed algorithm. Quantitative and qualitative evaluations show the superiority.<\/jats:p>","DOI":"10.3390\/rs16162966","type":"journal-article","created":{"date-parts":[[2024,8,13]],"date-time":"2024-08-13T06:02:37Z","timestamp":1723528957000},"page":"2966","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["TMP-Net: Terrain Matching and Positioning Network by Highly Reliable Airborne Synthetic Aperture Radar Altimeter"],"prefix":"10.3390","volume":"16","author":[{"given":"Yanxi","family":"Lu","sequence":"first","affiliation":[{"name":"The Institute of Electronic Engineering, China Academy of Engineering Physics, Mianyang 621000, China"}]},{"ORCID":"https:\/\/orcid.org\/0009-0006-1729-2144","authenticated-orcid":false,"given":"Anna","family":"Song","sequence":"additional","affiliation":[{"name":"Tianjin Key Laboratory for Advanced Signal Processing, Civil Aviation University of China, Tianjin 300300, China"}]},{"given":"Gaozheng","family":"Liu","sequence":"additional","affiliation":[{"name":"The Institute of Electronic Engineering, China Academy of Engineering Physics, Mianyang 621000, China"}]},{"given":"Longlong","family":"Tan","sequence":"additional","affiliation":[{"name":"The Institute of Electronic Engineering, China Academy of Engineering Physics, Mianyang 621000, China"}]},{"given":"Yushi","family":"Xu","sequence":"additional","affiliation":[{"name":"The Institute of Electronic Engineering, China Academy of Engineering Physics, Mianyang 621000, China"}]},{"given":"Fang","family":"Li","sequence":"additional","affiliation":[{"name":"The Institute of Electronic Engineering, China Academy of Engineering Physics, Mianyang 621000, China"}]},{"given":"Yao","family":"Wang","sequence":"additional","affiliation":[{"name":"The Institute of Electronic Engineering, China Academy of Engineering Physics, Mianyang 621000, China"}]},{"given":"Ge","family":"Jiang","sequence":"additional","affiliation":[{"name":"The Institute of Electronic Engineering, China Academy of Engineering Physics, Mianyang 621000, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3005-1007","authenticated-orcid":false,"given":"Lei","family":"Yang","sequence":"additional","affiliation":[{"name":"Tianjin Key Laboratory for Advanced Signal Processing, Civil Aviation University of China, Tianjin 300300, China"}]}],"member":"1968","published-online":{"date-parts":[[2024,8,13]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Spencer, J., Frizzelle, B., Page, P., and Vogler, J. 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