{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T01:30:29Z","timestamp":1777426229366,"version":"3.51.4"},"reference-count":39,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2011,11,28]],"date-time":"2011-11-28T00:00:00Z","timestamp":1322438400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>The great variability usually found in underwater media makes modeling a challenging task, but helpful for better understanding or predicting the performance of future deployed systems. In this work, an underwater acoustic propagation model is presented. This model obtains the multipath structure by means of the ray tracing technique. Using this model, the behavior of a relative positioning system is presented. One of the main advantages of relative positioning systems is that only the distances between all the buoys are needed to obtain their positions. In order to obtain the distances, the propagation times of acoustic signals coded by Complementary Set of Sequences (CSS) are used. In this case, the arrival instants are obtained by means of correlation processes. The distances are then used to obtain the position of the buoys by means of the Multidimensional Scaling Technique (MDS). As an early example of an application using this relative positioning system, a tracking of the position of the buoys at different times is performed. With this tracking, the surface current of a particular region could be studied. The performance of the system is evaluated in terms of the distance from the real position to the estimated one.<\/jats:p>","DOI":"10.3390\/s111211188","type":"journal-article","created":{"date-parts":[[2011,11,28]],"date-time":"2011-11-28T11:13:56Z","timestamp":1322478836000},"page":"11188-11205","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Modeling the Behavior of an Underwater Acoustic Relative Positioning System Based on Complementary Set of Sequences"],"prefix":"10.3390","volume":"11","author":[{"given":"Joaqu\u00edn","family":"Aparicio","sequence":"first","affiliation":[{"name":"Department of Electronics, University of Alcal\u00e1, Campus Universitario s\/n, 28805, Alcal\u00e1 de Henares, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ana","family":"Jim\u00e9nez","sequence":"additional","affiliation":[{"name":"Department of Electronics, University of Alcal\u00e1, Campus Universitario s\/n, 28805, Alcal\u00e1 de Henares, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7610-1452","authenticated-orcid":false,"given":"Fernando J.","family":"\u00c1lvarez","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, Electronics and Automatics, University of Extremadura, Facultad de Ciencias, Edificio de F\u00edsica, 06006, Badajoz, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jes\u00fas","family":"Ure\u00f1a","sequence":"additional","affiliation":[{"name":"Department of Electronics, University of Alcal\u00e1, Campus Universitario s\/n, 28805, Alcal\u00e1 de Henares, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Carlos De","family":"Marziani","sequence":"additional","affiliation":[{"name":"Department of Electronics, National University of the Patagonia San Juan Bosco\/CONICET, Ciudad Universitaria Comodoro Rivadavia, Km. 4, 9005, Comodoro Rivadavia, Argentina"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Cristina","family":"Diego","sequence":"additional","affiliation":[{"name":"Department of Electronics, University of Alcal\u00e1, Campus Universitario s\/n, 28805, Alcal\u00e1 de Henares, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2011,11,28]]},"reference":[{"key":"ref_1","unstructured":"Camargo, O. 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