{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,17]],"date-time":"2026-04-17T21:31:23Z","timestamp":1776461483727,"version":"3.51.2"},"reference-count":26,"publisher":"MDPI AG","issue":"20","license":[{"start":{"date-parts":[[2023,10,12]],"date-time":"2023-10-12T00:00:00Z","timestamp":1697068800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100019791","name":"CAEP Foundation","doi-asserted-by":"publisher","award":["Grant CX20200010"],"award-info":[{"award-number":["Grant CX20200010"]}],"id":[{"id":"10.13039\/501100019791","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Spoofing interference is one of the most emerging threats to the Global Navigation Satellite System (GNSS); therefore, the research on anti-spoofing technology is of great significance to improving the security of GNSS. For single spoofing source interference, all the spoofing signals are broadcast from the same antenna. When the receiver is in motion, the pseudo-range of spoofing signals changes nonlinearly, while the difference between any two pseudo-ranges changes linearly. Authentic signals do not have this characteristic. On this basis, an anti-spoofing method is proposed by jointly monitoring the linearity of the pseudo-range difference (PRD) sequence and pseudo-range sum (PRS) sequence, which transforms the spoofing detection problem into the sequence linearity detection problem. In this paper, the model of PRD and PRS is derived, the hypothesis based on the linearity of PRD sequence and PRS sequence is given, and the detection performance of the method is evaluated. This method uses the sum of squares of errors (SSE) of linear fitting of the PRD sequence and PRS sequence to construct detection statistics, and has low computational complexity. Simulation results show that this method can effectively detect spoofing interference and distinguish spoofing signals from authentic signals.<\/jats:p>","DOI":"10.3390\/s23208418","type":"journal-article","created":{"date-parts":[[2023,10,12]],"date-time":"2023-10-12T14:22:17Z","timestamp":1697120537000},"page":"8418","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Anti-Spoofing Method for Improving GNSS Security by Jointly Monitoring Pseudo-Range Difference and Pseudo-Range Sum Sequence Linearity"],"prefix":"10.3390","volume":"23","author":[{"given":"Xinran","family":"Zhang","sequence":"first","affiliation":[{"name":"Institute of Electronic Engineering, China Academy of Engineering Physics, Mianyang 621999, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Taotao","family":"Liang","sequence":"additional","affiliation":[{"name":"Institute of Electronic Engineering, China Academy of Engineering Physics, Mianyang 621999, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4309-3687","authenticated-orcid":false,"given":"Jie","family":"Tian","sequence":"additional","affiliation":[{"name":"Institute of Electronic Engineering, China Academy of Engineering Physics, Mianyang 621999, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Junwei","family":"Wu","sequence":"additional","affiliation":[{"name":"Institute of Electronic Engineering, China Academy of Engineering Physics, Mianyang 621999, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chuan","family":"Wang","sequence":"additional","affiliation":[{"name":"Institute of Electronic Engineering, China Academy of Engineering Physics, Mianyang 621999, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Maolin","family":"Chen","sequence":"additional","affiliation":[{"name":"Institute of Electronic Engineering, China Academy of Engineering Physics, Mianyang 621999, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,10,12]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"617","DOI":"10.1002\/rob.21513","article-title":"Unmanned aircraft capture and control via GPS spoofing","volume":"31","author":"Kerns","year":"2014","journal-title":"J. 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