基于精度因子与距离残差的加权最小二乘算法在DTMB辅助北斗定位中的应用  

The weighted least squares algorithm based on precision factor versus distance residue in the application of DTMB assisted BeiDou positioning

作　　者：李旋 杨海效 李济源 翟悦峰 吴虹[1,2,3] LI Xuan;YANG Haixiao;LI Jiyuan;ZHAI Yuefeng;WU Hong(College of Electronic Information and Optical Engineering,Nankai University,Tianjin 300350;Tianjin Key Laboratory of Optoelectronic Sensor and Sensing Network Technology,Nankai University,Tianjin 300350;Engineering Research Center of Thin Film Optoelectronics Technology,Tianjin 300350)

机构地区：[1]南开大学电子信息与光学工程学院,天津300350 [2]南开大学光电传感器与传感网络技术重点实验室,天津300350 [3]光电子薄膜器件与技术研究所,天津300350

出　　处：《高技术通讯》2024年第7期705-713,共9页Chinese High Technology Letters

基　　金：国家自然科学基金面上项目(61571244);国家自然科学基金联合基金(U2031208)资助项目。

摘　　要：北斗三号系统已完成建设,该系统可以在空旷的室外提供较为准确的定位信息。但是在城市峡谷区域,北斗信号会受到遮挡。当能够提供有效定位信息的北斗卫星数目逐渐减少时,利用北斗卫星进行定位得到的定位结果偏差会逐渐增大。本文针对以上问题,在采用地面数字多媒体广播信号辅助北斗定位的基础上,利用基于精度因子与距离残差的加权最小二乘算法进行定位,相比于利用最小二乘算法进行定位,定位精度提高了40%~50%。本文提出的算法对于解决定位基站数目不足时增加其他不同类型基站来进行辅助定位的问题具有借鉴作用。The construction of the BDS3(BeiDou Narigation Satellite System 3)has been completed,which can provide more accurate positioning information in open areas.But the BeiDou signal is obscured in the urban canyon area.When the number of BeiDou satellites that can provide effective positioning information gradually decreases,the de-viation of the positioning results obtained by using the BeiDou satellites will gradually increase.In view of the above problems,based on the use of the digital terrestrial multimedia broadcast signal to assist the BeiDou,the weighted least squares algorithm based on the precision factor and the distance residual is used for positioning.Compared with the positioning using the least squares algorithm,its positioning accuracy is improved by about 40%to 50%.The algorithm proposed in this paper is useful for resolving the problem of adding different types of base stations to the auxiliary positioning when the number of base stations is insufficient.

关 键 词：改进的加权最小二乘算法 精度因子 距离残差 辅助定位 

分 类 号：TN967.1[电子电信—信号与信息处理]