城市浮动车数据定位误差分布研究

doi:10.3969/j.issn.1674-0696.2016.01.31

摘要/Abstract

摘要： 提出了计算城市浮动车定位误差的方法，分析了定位误差数据的分布情况和特征，给出并验证浮动车定位误差的概率分布函数，给出不同等级道路的浮动车定位误差分布规律。通过出租车载客状态和地图匹配的路径来推导浮动车的参考位置并计算误差，然后分别运用多种误差分布密度函数进行拟合，发现最适合的定位误差概率密度函数。以广州市浮动车数据为例进行了验证，结果表明偏p-范分布最适合复杂城市路网的浮动车误差分布，可作为浮动车数据进一步应用的基础。

关键词: 交通运输工程, 浮动车数据, GPS定位误差, 误差分布, 函数拟合

Abstract: A method to calculate the position errors of floating car in urban area was presented, and the probability distribution function to verify the position errors of floating car was proposed according to the analysis on the characteristics and the distribution of positioning error data. The distribution rule of the position errors of floating car on different levels of road was also obtained. The referential positions of floating cars were deduced and the errors were calculated through the loading status of taxis and the map-matching routes; several error distribution functions were respectively selected for data fitting and the most appropriate location error probability density function was found out. A case study of Guangzhou floating car data was carried out. The results show that the partial p-norm distribution is the best fitting form for the error distribution for the floating car of road network in the complex metropolis area, which can be used as the basis for further application of floating car data.

Key words: traffic and transportation engineering, floating car data, GPS positioning error, error distribution, function fitting

中图分类号:

U491.1+2

李军，游弋，赵长相. 城市浮动车数据定位误差分布研究[J]. 重庆交通大学学报（自然科学版）, 2016, 35(1): 162-166.

LI Jun, YOU Yi, ZHAO Changxiang. Error Distribution of Floating Car Positioning Data in Urban Areas[J]. Journal of Chongqing Jiaotong University(Natural Science), 2016, 35(1): 162-166.

参考文献

［1］ ZHAO Yue,LIU Jian,CHEN Runqiang,et al.A new method of road network updating based on floating car data ［C］// Vancouver Canada:2011 IEEE International Geoscience and Remote Sensing Symposium (IGARSS) ,2011:1878-1881.
［2］ GAO Bin,COIFMAN B.Vehicle identification and GPS error detection from a LIDAR equipped probe vehicle ［C］// Toronto, Canada:Intelligent Transportation Systems Conference,2006:1537-1542.
［3］庄立坚,韦清波,何兆成.基于浮动车数据的出租车运营管理特性建模与分析［J］.重庆交通大学学报（自然科学版）,2014,33(4):122-127.
ZHUANG Lijian,WEI Qingbo,HE Zhaocheng.Taxi operation and management characteristics based on floating car data ［J］.Journal of Chongqing Jiaotong University(Natural Science),2014,33(4):122-127.
［4］章威,徐建闽,林绵峰.基于大规模浮动车数据的地图匹配算法［J］.交通运输系统工程与信息,2007,7(2):39-45.
ZHANG Wei,XU Jianmin,LIN Mianfeng.Map matching algorithm of large scale probe vehicle data ［J］.Journal of Transportation Systems Engineering and Information Technology,2007,7 (2):39-45.
［5］ BIERLAIRE M,CHEN Jingmin,NEWMAN J.A probabilistic map matching method for smartphone GPS data ［J］.Transportation Research Part C(Emerging Technologies),2013,(26):78-98.
［6］ HU Xiaowen,YANG Dongyuan,FENG Junjia,et al.Map matching algorithm for GPS data with irregular and relatively long intervals ［C］// Chengdu:The First International Conference on Transportation Engineering (ICTE).USA:American Society of Civil Engineers,2007.
［7］李洋,张晓冬,鲍远律.多权值概率论实时地图匹配［J］.电子测量与仪器学报,2012,26(2):166-170.
LI Yang,ZHANG Xiaodong,BAO Yuanlv.Algorithm on real-time map-matching of multi-weights probability ［J］.Journal of Electronic Measurement and Instrument,2012,26(2):166-170.
［8］于泉,孙玲,荣建.基于浮动车数据调查方法的交叉口延误计算［J］.重庆交通大学学报（自然科学版）,2009,28(2):283-286.
YU Quan,SUN Ling,RONG Jian.An approach of signalized intersection delay calculation based on floating vehicles data survey method ［J］.Journal of Chongqing Jiaotong University(Natural Science),2009,28(2):283-286.
［9］ GREENFELD J S.Matching GPS observations to locations on a digital map ［C］// Transportation Research Board 81st Annual Meeting.Washington,D.C.:Transportation Research Board,2002.
［10］赖云波,孙棣华,廖孝勇,等.基于道路缓冲区分析的地图匹配算法［J］.计算机应用研究,2011,28(9):3312-3314.
LAI Yunbo,SUN Dihua,LIAO Xiaoyong,et al.Algorithm of map- matching based on road buffer analysis ［J］.Application Research of Computers,2011,28(9):3312-3314.
［11］孙棣华,张星霞,张志良.地图匹配技术及其在智能交通系统中的应用［J］.计算机工程与应用,2005,20:225-228.
SUN Dihua,ZHANG Xingxia,ZHANG Zhiliang.Map matching technology and its application in ITS ［J］.Computer Engineering and Application,2005,20:225-228.
［12］王应东.GPS 误差分析和精度控制［J］.测绘与空间地理信息,2011,34(6):235-236.
WANG Yingdong.GPS error analysis and precision control ［J］.Geomatics & Spatial Information Technology,2011,34(6):235-236.
［13］RAHMANI M,KOUTSOPOULOS H N.Path inference from sparse floating car data for urban networks ［J］.Transportation Research Part C(Emerging Technologies),2013(30):41-54,.
［14］MIWA T,KIUCHI D,YAMAMOTO T,et al.Development of map matching algorithm for low frequency probe data ［J］.Transportation Research Part C(Emerging Technologies),2012(22):132-145.
［15］AYALA D,LIN Jie,WOLFSON O,et al.Communication reduction for floating car data-based traffic information systems ［C］//2010 Second International Conference on Advanced Geographic Information Systems,Applications and Services (Geoprocessing),IEEE,2010:44-51.
［16］田世艳.基于GPS的城市道路交通状态实时判别技术研究［D］.广州：华南理工大学,2012.
TIAN Shiyan.Study on the Technology of Traffic Identification for Urban Road Based on GPS ［D］.Guangzhou:South China University of Technology,2012.
［17］陈骥,王炳兴.基于正态分布点值化的区间主成分评价法及应用［J］.统计研究,2012,29(7):91-95.
CHEN Ji,WANG Bingxing.Interval principal component analysis based on the point-estimation of normal distribution and its application ［J］.Statistical Research,2012,29(7):91-95.
［18］郑文兵.正态分布的哲学本质及其社会经济应用意义［J］.统计与决策,2012(7):23-26.
ZHENG Wenbing.The philosophy essence of normal distribution and its social and economic significance ［J］.Statistics and Decision,2012(7):23-26.
［19］刘刚,张尚立,周国梅.飞行器定位误差的统计分布［J］.数理统计与管理,2007,26(4):565-569.
LIU Gang,ZHANG Shangli,ZHOU Guomei.The research on statistical distribution of the flight error ［J］.Application of Statistics and Management,2007,26(4):565-569.
［20］孙海燕,胡宏昌.P-范分布及其抽样分布［J］.应用概率统计,2003,19(4):424-428.
SUN Haiyan,HU Hongchang.P-norm distribution and its sampling distribution ［J］.Chinese journal of Application of Applied Probability and Statistics,2003,19(4):424-428.
［21］胡宏昌,孙海燕.P-范分布参数σ的估计［J］.武汉大学学报:信息科学版,2002,27(5):483-485.
HU Hongchang,SUN Haiyan.Parameter σ estimation of P-norm distribution ［J］.Geomatics and Information Science of Wuhan University,2002,27(5):483-485.
［22］蓝悦明,贾媛.GPS观测值误差分布的研究［J］.测绘通报,2008(4):12-13.
LAN Yueming,JIA Yuan.The study of error distribution of GPS observed values ［J］.Bulletin of Surveying and Mapping,2008(4):12-13.

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