引用本文: | 张金艺,王彬,秦奋,等.融合初值校准与二阶逼近的单星测频定位算法.[J].国防科技大学学报,2020,42(1):59-65.[点击复制] |
ZHANG Jinyi,WANG Bin,QIN Fen,et al.Algorithm of single-satellite localization from frequency measurements combining initial value calibration and second order approximation[J].Journal of National University of Defense Technology,2020,42(1):59-65[点击复制] |
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融合初值校准与二阶逼近的单星测频定位算法 |
张金艺1,2,王彬1,秦奋1,3,朱浤涛3 |
(1. 上海大学 通信与信息工程学院, 上海 200444;2. 上海大学 微电子研究与开发中心, 上海 200072;3. 上海航天电子技术研究所, 上海 201109)
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摘要: |
为减小单星测频定位的误差,提出一种融合初值校准与二阶逼近的单星测频定位算法。该算法在卫星接收信号多普勒频移为零的时间点,通过测距获得卫星到定位目标的距离信息,利用距离信息修正轨道平面与定位目标的几何关系,为初值的选取提供校准手段;将校准的初值代入含二阶级数的定位方程泰勒展开式,通过较少次数的迭代得到定位目标的真实位置,从而降低定位的算法复杂度,提高定位精度。仿真结果表明,所提出的算法与多普勒单星定位算法相比,迭代次数和定位误差大幅度减小,其实现简单、计算量少、误差小,在单星定位研究领域具有较高的理论价值和实用价值。 |
关键词: 单星定位 初值校准 二阶逼近 迭代次数 |
DOI:10.11887/j.cn.202001009 |
投稿日期:2018-09-12 |
基金项目:“十三五”国家重点研发计划资助项目(2017YFB0403500);上海市教委重点学科资助项目(J50104) |
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Algorithm of single-satellite localization from frequency measurements combining initial value calibration and second order approximation |
ZHANG Jinyi1,2, WANG Bin1, QIN Fen1,3, ZHU Hongtao3 |
(1. School of Communication and Information Engineering, Shanghai University, Shanghai 200444, China;2. Microelectronic Research and Development Center, Shanghai University, Shanghai 200072, China;3. Shanghai Aerospace Electronic Technology Institute, Shanghai 201109, China)
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Abstract: |
In order to reduce the error of single-satellite localization from frequency measurements, an algorithm of single-satellite localization from frequency measurements, which combines the initial value calibration and the second order approximation, was proposed. The algorithm obtains distance information from the satellite to the localization target at the time point when the Doppler frequency shift of the satellite receiving signal is zero, and then corrects the geometric relationship between the orbit plane and the localization target by using the distance information, thus it provides a calibration method for the selection of the initial value. By substituting the calibrated initial value into Taylor′s expansion of the localization equation containing the second order numbers, the real position of the localization target was obtained through fewer number of iteration, thus reducing the complexity of localization algorithm and improving the localization accuracy. The simulation results indicate that compared with the Doppler single-satellite localization algorithm, the iteration times and the localization error of the proposed algorithm are reduced substantially. The algorithm is easy to implement, low in computation and small in error, and has high theoretical and practical value in the field of single-satellite localization research. |
Keywords: single-satellite localization initial value calibration second order approximation number of iterations |
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