{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:01:44Z","timestamp":1760241704862,"version":"build-2065373602"},"reference-count":42,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2018,7,19]],"date-time":"2018-07-19T00:00:00Z","timestamp":1531958400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61403068"],"award-info":[{"award-number":["61403068"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003787","name":"Natural Science Foundation of Hebei Province","doi-asserted-by":"publisher","award":["F2016501080","F2015501097"],"award-info":[{"award-number":["F2016501080","F2015501097"]}],"id":[{"id":"10.13039\/501100003787","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["N172304024","N152302001"],"award-info":[{"award-number":["N172304024","N152302001"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>In recent years, the rapid development of microelectronics, wireless communications, and electro-mechanical systems has occurred. The wireless sensor network (WSN) has been widely used in many applications. The localization of a mobile node is one of the key technologies for WSN. Among the factors that would affect the accuracy of mobile localization, non-line of sight (NLOS) propagation caused by a complicated environment plays a vital role. In this paper, we present a hierarchical voting based mixed filter (HVMF) localization method for a mobile node in a mixed line of sight (LOS) and NLOS environment. We firstly propose a condition detection and distance correction algorithm based on hierarchical voting. Then, a mixed square root unscented Kalman filter (SRUKF) and a particle filter (PF) are used to filter the larger measurement error. Finally, the filtered results are subjected to convex optimization and the maximum likelihood estimation to estimate the position of the mobile node. The proposed method does not require prior information about the statistical properties of the NLOS errors and operates in a 2D scenario. It can be applied to time of arrival (TOA), time difference of arrival (TDOA), received signal (RSS), and other measurement methods. The simulation results show that the HVMF algorithm can efficiently reduce the effect of NLOS errors and can achieve higher localization accuracy than the Kalman filter and PF. The proposed algorithm is robust to the NLOS errors.<\/jats:p>","DOI":"10.3390\/s18072348","type":"journal-article","created":{"date-parts":[[2018,7,20]],"date-time":"2018-07-20T02:10:11Z","timestamp":1532052611000},"page":"2348","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":19,"title":["A Hierarchical Voting Based Mixed Filter Localization Method for Wireless Sensor Network in Mixed LOS\/NLOS Environments"],"prefix":"10.3390","volume":"18","author":[{"given":"Yan","family":"Wang","sequence":"first","affiliation":[{"name":"Department of Computer and Communication Engineering, Northeastern University, Qinhuangdao 066004, China"},{"name":"School of Information Science and Engineering, Northeastern University, Shenyang 110819, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jinquan","family":"Hang","sequence":"additional","affiliation":[{"name":"Department of Computer and Communication Engineering, Northeastern University, Qinhuangdao 066004, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8656-7838","authenticated-orcid":false,"given":"Long","family":"Cheng","sequence":"additional","affiliation":[{"name":"Department of Computer and Communication Engineering, Northeastern University, Qinhuangdao 066004, China"},{"name":"School of Information Science and Engineering, Northeastern University, Shenyang 110819, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chen","family":"Li","sequence":"additional","affiliation":[{"name":"Department of Computer and Communication Engineering, Northeastern University, Qinhuangdao 066004, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xin","family":"Song","sequence":"additional","affiliation":[{"name":"Department of Computer and Communication Engineering, Northeastern University, Qinhuangdao 066004, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2018,7,19]]},"reference":[{"key":"ref_1","first-page":"462","article-title":"Distributed detection and fusion in a large wireless sensor network of random size","volume":"4","author":"Niu","year":"2005","journal-title":"EURASIP J. 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