{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,20]],"date-time":"2025-11-20T12:52:15Z","timestamp":1763643135886,"version":"build-2065373602"},"reference-count":38,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2021,3,26]],"date-time":"2021-03-26T00:00:00Z","timestamp":1616716800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Wireless sensor networks are used in many location-dependent applications. The location of sensor nodes is commonly carried out in a distributed way for energy saving and network robustness, where the handling of these characteristics is still a great challenge. It is very desirable that distributed algorithms invest as few iterations as possible with the highest accuracy on position estimates. This research proposes a range-based and robust localization method, derived from the Newton scheme, that can be applied over isotropic and anisotropic networks in presence of outliers in the pair-wise distance measurements. The algorithm minimizes the error of position estimates using a hop-weighted function and a scaling factor that allows a significant improvement on position estimates in only few iterations. Simulations demonstrate that our proposed algorithm outperforms other similar algorithms under anisotropic networks.<\/jats:p>","DOI":"10.3390\/s21072324","type":"journal-article","created":{"date-parts":[[2021,3,26]],"date-time":"2021-03-26T13:17:53Z","timestamp":1616764673000},"page":"2324","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["A Weighted and Distributed Algorithm for Range-Based Multi-Hop Localization Using a Newton Method"],"prefix":"10.3390","volume":"21","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8246-6562","authenticated-orcid":false,"given":"Jose","family":"Diaz-Roman","sequence":"first","affiliation":[{"name":"Department of Electrical and Computer Engineering, Universidad Aut\u00f3noma de Ciudad Ju\u00e1rez (UACJ), Ciudad Ju\u00e1rez 32310, Mexico"}]},{"given":"Boris","family":"Mederos","sequence":"additional","affiliation":[{"name":"Department of Physics and Mathematics, Universidad Aut\u00f3noma de Ciudad Ju\u00e1rez (UACJ), Ciudad Ju\u00e1rez 32310, Mexico"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1739-3317","authenticated-orcid":false,"given":"Ernesto","family":"Sifuentes","sequence":"additional","affiliation":[{"name":"Department of Electrical and Computer Engineering, Universidad Aut\u00f3noma de Ciudad Ju\u00e1rez (UACJ), Ciudad Ju\u00e1rez 32310, Mexico"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5148-4517","authenticated-orcid":false,"given":"Rafael","family":"Gonzalez-Landaeta","sequence":"additional","affiliation":[{"name":"Department of Electrical and Computer Engineering, Universidad Aut\u00f3noma de Ciudad Ju\u00e1rez (UACJ), Ciudad Ju\u00e1rez 32310, Mexico"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3592-1198","authenticated-orcid":false,"given":"Juan","family":"Cota-Ruiz","sequence":"additional","affiliation":[{"name":"Department of Electrical and Computer Engineering, Universidad Aut\u00f3noma de Ciudad Ju\u00e1rez (UACJ), Ciudad Ju\u00e1rez 32310, Mexico"}]}],"member":"1968","published-online":{"date-parts":[[2021,3,26]]},"reference":[{"key":"ref_1","first-page":"2347","article-title":"A Survey on Range-Based and Range-Free Localization Techniques","volume":"6","author":"Nagireddy","year":"2017","journal-title":"Int. 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