{"title":"航空导航中基于EGNOS解的双接收机精度参数确定分析","authors":"K. Krasuski, J. Ćwiklak, M. Bakuła, M. Mrozik","doi":"10.2478/ama-2022-0043","DOIUrl":null,"url":null,"abstract":"Abstract The paper presents the results of research on the determination of the accuracy parameter for European Geostationary Navigation Overlay System (EGNOS) positioning for a dual set of on-board global navigation satellite system (GNSS) receivers. The study focusses in particular on presenting a modified algorithm to determine the accuracy of EGNOS positioning for a mixed model with measurement weights. The mathematical algorithm considers the measurement weights as a function of the squared inverse and the inverse of the position dilution of precision (PDOP) geometrical coefficient. The research uses actual EGNOS measurement data recorded by two on-board GNSS receivers installed in a Diamond DA 20-C airplane. The calculations determined the accuracy of EGNOS positioning separately for each receiver and the resultant value for the set of two GNSS receivers. Based on the conducted tests, it was determined that the mixed model with measurement weights in the form of a function of the inverse square of the PDOP geometrical coefficient was the most efficient and that it improved the accuracy of EGNOS positioning by 37%–63% compared to the results of position errors calculated separately for each GNSS receiver.","PeriodicalId":44942,"journal":{"name":"Acta Mechanica et Automatica","volume":"16 1","pages":"365 - 372"},"PeriodicalIF":1.0000,"publicationDate":"2022-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Analysis of the Determination of the Accuracy Parameter for Dual Receivers Based on EGNOS Solution in Aerial Navigation\",\"authors\":\"K. Krasuski, J. Ćwiklak, M. Bakuła, M. Mrozik\",\"doi\":\"10.2478/ama-2022-0043\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract The paper presents the results of research on the determination of the accuracy parameter for European Geostationary Navigation Overlay System (EGNOS) positioning for a dual set of on-board global navigation satellite system (GNSS) receivers. The study focusses in particular on presenting a modified algorithm to determine the accuracy of EGNOS positioning for a mixed model with measurement weights. The mathematical algorithm considers the measurement weights as a function of the squared inverse and the inverse of the position dilution of precision (PDOP) geometrical coefficient. The research uses actual EGNOS measurement data recorded by two on-board GNSS receivers installed in a Diamond DA 20-C airplane. The calculations determined the accuracy of EGNOS positioning separately for each receiver and the resultant value for the set of two GNSS receivers. Based on the conducted tests, it was determined that the mixed model with measurement weights in the form of a function of the inverse square of the PDOP geometrical coefficient was the most efficient and that it improved the accuracy of EGNOS positioning by 37%–63% compared to the results of position errors calculated separately for each GNSS receiver.\",\"PeriodicalId\":44942,\"journal\":{\"name\":\"Acta Mechanica et Automatica\",\"volume\":\"16 1\",\"pages\":\"365 - 372\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2022-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Mechanica et Automatica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2478/ama-2022-0043\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"ENGINEERING, MECHANICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mechanica et Automatica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/ama-2022-0043","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
引用次数: 1
摘要
摘要本文介绍了双星载全球导航卫星系统(GNSS)接收机的欧洲同步导航覆盖系统(EGNOS)定位精度参数确定的研究结果。该研究特别侧重于提出一种改进的算法来确定具有测量权重的混合模型的EGNOS定位精度。该数学算法将测量权重视为位置精度稀释(PDOP)几何系数的平方反比和反比的函数。该研究使用安装在Diamond DA - 20-C飞机上的两个机载GNSS接收器记录的实际EGNOS测量数据。计算分别确定了每个接收机的EGNOS定位精度和两个GNSS接收机集合的结果值。试验结果表明,以PDOP几何系数平方反比为函数形式的测量权混合模型效率最高,与单独计算每个GNSS接收机位置误差的结果相比,EGNOS定位精度提高了37% ~ 63%。
Analysis of the Determination of the Accuracy Parameter for Dual Receivers Based on EGNOS Solution in Aerial Navigation
Abstract The paper presents the results of research on the determination of the accuracy parameter for European Geostationary Navigation Overlay System (EGNOS) positioning for a dual set of on-board global navigation satellite system (GNSS) receivers. The study focusses in particular on presenting a modified algorithm to determine the accuracy of EGNOS positioning for a mixed model with measurement weights. The mathematical algorithm considers the measurement weights as a function of the squared inverse and the inverse of the position dilution of precision (PDOP) geometrical coefficient. The research uses actual EGNOS measurement data recorded by two on-board GNSS receivers installed in a Diamond DA 20-C airplane. The calculations determined the accuracy of EGNOS positioning separately for each receiver and the resultant value for the set of two GNSS receivers. Based on the conducted tests, it was determined that the mixed model with measurement weights in the form of a function of the inverse square of the PDOP geometrical coefficient was the most efficient and that it improved the accuracy of EGNOS positioning by 37%–63% compared to the results of position errors calculated separately for each GNSS receiver.