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Aiming at the problem of secure localization in dynamic sensor networks, a new secure localization algorithm\u2014frequency modulation secure localization (FMSL)\u2014for dynamic sensor networks is proposed with the support of FM signal and Monte Carlo method. The algorithm uses FM signals which are widely covered to locate randomly distributed nodes loaded with FM signal receiving module, filters some malicious attack anchors in the network, and uses the improved Monte Carlo algorithm to locate the nodes, so as to improve the positioning accuracy. Meanwhile, according to the moving path and the localization time, energy consumption of the network could be estimated and also give the sleep scheduling strategy for the node to be localized. The simulation results show that the FMSL algorithm can significantly improve the security performance and positioning accuracy of mobile sensor networks compared with the existing security positioning algorithms such as Monte Carlo and convex programming. In the process of motion, the positioning accuracy can reach less than 10%.<\/jats:p>","DOI":"10.1186\/s13638-020-1658-z","type":"journal-article","created":{"date-parts":[[2020,2,11]],"date-time":"2020-02-11T17:05:41Z","timestamp":1581440741000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["A type of energy-efficient secure localization algorithm FM based in dynamic sensor networks"],"prefix":"10.1186","volume":"2020","author":[{"given":"Wei-cheng","family":"Xue","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bao","family":"Peng","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shan-he","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yu","family":"Hua","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2020,2,11]]},"reference":[{"key":"1658_CR1","doi-asserted-by":"publisher","first-page":"733","DOI":"10.1016\/j.compeleceng.2017.03.024","volume":"77","author":"L Chelouah","year":"2018","unstructured":"L. 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