{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,2]],"date-time":"2025-11-02T04:05:20Z","timestamp":1762056320973,"version":"build-2065373602"},"reference-count":16,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2022,7,3]],"date-time":"2022-07-03T00:00:00Z","timestamp":1656806400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/100007637","name":"Minciencias","doi-asserted-by":"publisher","award":["727"],"award-info":[{"award-number":["727"]}],"id":[{"id":"10.13039\/100007637","id-type":"DOI","asserted-by":"publisher"}]},{"name":"EMC-UN research laboratory","award":["727"],"award-info":[{"award-number":["727"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Algorithms"],"abstract":"<jats:p>In this paper, we obtain the Complex Natural Resonances of an object from the backscattered response in the frequency domain with a novel rational function approximation method based on both Vector Fitting and Cauchy methods. We determine the system order and an initial set of poles, which are used as a basis for a rational function approximation. The results from the simulations and experiments show an improvement in the reconstructed signals and the accuracy of the CNRs calculated, with an increased tolerance to the critical Signal-to-Noise Ratio. This is being used in the problem of GPR landmine humanitarian detection in Colombia.<\/jats:p>","DOI":"10.3390\/a15070235","type":"journal-article","created":{"date-parts":[[2022,7,3]],"date-time":"2022-07-03T22:50:46Z","timestamp":1656888646000},"page":"235","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Vector Fitting\u2013Cauchy Method for the Extraction of Complex Natural Resonances in Ground Penetrating Radar Operations"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5852-5788","authenticated-orcid":false,"given":"Andres","family":"Gallego","sequence":"first","affiliation":[{"name":"Department of Electric and Electronics Engineering, Universidad Nacional de Colombia, Carrera 30 No. 45-03, Bogot\u00e1 111321, Colombia"}]},{"given":"Francisco","family":"Roman","sequence":"additional","affiliation":[{"name":"Department of Electric and Electronics Engineering, Universidad Nacional de Colombia, Carrera 30 No. 45-03, Bogot\u00e1 111321, Colombia"}]},{"given":"Edwin","family":"Pineda","sequence":"additional","affiliation":[{"name":"Department of Electric and Electronics Engineering, Universidad Nacional de Colombia, Carrera 30 No. 45-03, Bogot\u00e1 111321, Colombia"}]}],"member":"1968","published-online":{"date-parts":[[2022,7,3]]},"reference":[{"key":"ref_1","unstructured":"Baum, C.E. (1971). On the Singularity Expansion Method for the Solution of Electromagnetic Interaction Problems, Air Force Weapons Lab. Technical Report."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1481","DOI":"10.1109\/5.104223","article-title":"The Singularity Expansion Method and Its Application to Target Identification","volume":"79","author":"Baum","year":"1991","journal-title":"Proc. IEEE"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"14","DOI":"10.1109\/MAP.1986.27868","article-title":"The Singularity Expansion Method: Background and Developments","volume":"28","author":"Baum","year":"1986","journal-title":"IEEE Antennas Propag. Soc. Newsl."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1016\/j.camwa.2009.06.044","article-title":"Numerical approximation of electromagnetic signals arising in the evaluation of geological formations","volume":"59","author":"Caboussat","year":"2010","journal-title":"Comput. Math. 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Vis."}],"container-title":["Algorithms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1999-4893\/15\/7\/235\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T23:42:14Z","timestamp":1760139734000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1999-4893\/15\/7\/235"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,7,3]]},"references-count":16,"journal-issue":{"issue":"7","published-online":{"date-parts":[[2022,7]]}},"alternative-id":["a15070235"],"URL":"https:\/\/doi.org\/10.3390\/a15070235","relation":{},"ISSN":["1999-4893"],"issn-type":[{"type":"electronic","value":"1999-4893"}],"subject":[],"published":{"date-parts":[[2022,7,3]]}}}