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因子图发展及其在定位与导航的应用技术
引用本文:周雅婧,曾庆化,刘建业,孙克诚. 因子图发展及其在定位与导航的应用技术[J]. 全球定位系统, 2020, 45(1): 1-11. DOI: DOI:10.13442/j.gnss.1008-9268.2020.01.001
作者姓名:周雅婧  曾庆化  刘建业  孙克诚
作者单位:南京航空航天大学导航研究中心,江苏南京211106;南京航空航天大学导航研究中心,江苏南京211106;先进飞行器导航、控制与健康管理工业和信息化部重点实验室,江苏南京211106;卫星通信与导航江苏高校协同创新中心,江苏南京210016
基金项目:国家自然科学基金(61533008,61603181);中央高校基本科研业务(NJ20170005,NJ20170010,NS2018021);武汉大学测绘遥感信息工程国家重点实验室开放基金(17P02).
摘    要:因子图作为一种表示因式分解的建模工具,在编码领域、统计学、信号处理和人工智能领域有着广泛的应用.因子图在导航领域的应用研究逐步发展起来.与单一导航系统对比,组合导航系统能够提供更精确、更具鲁棒性的导航结果,但是因其各个子系统的误差特性与工作频率不同的特点,增加了导航系统的设计复杂性.基于因子图的组合导航算法可以有效解决导航信息融合中的传感器异步问题且实现对多传感器的灵活配置,使得系统具有即插即用的特性,在非线性量测条件下可以获得较好效果.导航系统中的状态估计以及信息融合问题可以使用因子图模型表示,基于因子图的和 积算法是组合导航信息融合的主要算法.本文对因子图及其在导航系统中的应用进行了探讨,主要包括:1)因子图的数学理论基础及其相关应用领域;2)因子图在定位与导航领域的发展和应用. 

关 键 词:因子图  信息融合  SLAM  组合导航系统  和-积算法

Development of factor graph and its application technology in positioning and navigation
ZHOU Yajing,ZENG Qinghua,LIU Jianye,SUN Kecheng. Development of factor graph and its application technology in positioning and navigation[J]. Gnss World of China, 2020, 45(1): 1-11. DOI: DOI:10.13442/j.gnss.1008-9268.2020.01.001
Authors:ZHOU Yajing  ZENG Qinghua  LIU Jianye  SUN Kecheng
Affiliation:1.Navigation Research Center, Nanjing University of Aeronautics & Astronautics, Nanjing 211106, China2.Key Laboratory of the MIIT advanced aircraft navigation, control and health management,Nanjing 211106, China3.Jiangsu University Collaborative Innovation Center for satellite communication and navigation,Nanjing 211106, China
Abstract:Factor graphs are widely used in the fields of coding,statistics,signal processing,and artificial intelligence as a modeling tool that represents factorization.The application of factor graphs in the navigation field is also gradually developed.The combination of multiple sensor information provides a more accurate and robust navigation state estimate than the information from a single sensor.However,various sensors have different error characteristics and these sensors usually operate at different frequencies.Considering that some sensors cannot supply the linear measurement information,and it brings the challenges to the design of the integrated navigation system.The navigation algorithm based on the factor graph model enables the system to have plug-and-play characteristics and achieve better results under nonlinear measurement conditions.The state estimation and information fusion problems in the navigation system can be represented by the factor graph model.Sum-product algorithm based on factor graph is the main method in navigation and positioning system.This paper summarizes the factor graph theory and its application in the navigation system,including:1)Mathematical theoretical basis of factor graph and its related application fields 2)Development and application of factor graphs in the field of positioning and navigation.
Keywords:factor graph  information fusion  SLAM  integrated navigation  sum-product algorithm
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