| 摘要: |
| 无线电双曲线定位精度由测距差误差与几何精度衰减因子（Geometrical Dilution of Precision,GDOP）共同决定。经典的单台链双曲线定位GDOP值计算需进行严格的区域识别，区域识别方法复杂且易误判。为此，从GDOP定义与球面三角定位方程出发，结合误差传播理论，提出无区域识别的单台链双曲线定位GDOP计算方法。以俄罗斯阿尔法无线电导航系统为例，计算两个不同矩形区域内的GDOP值，结果表明，所提方法与经典方法相比，在(20°N,40°E)、(70°N,140°E)所围跨越大区域内，两者计算GDOP值变化趋势吻合；在(29°N,103°E)、(38°N,113°E) 所围试验验证小区域内，两者计算GDOP值绝对偏差最大值为0.076，均值为0.048，证明所提方法的正确性和可用性。 |
| 关键词: 无区域识别 双曲线定位 GDOP计算 单台链 |
| DOI： |
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| 基金项目:国家自然科学基金资助项目（11703030）；中国科学院西部青年学者A类项目（XAB2017A05） |
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| Single-chain Hyperbolic Positioning GDOP Calculation without Region Identification |
| HUANG Yuanyuan,HE Zaimin,WANG Lulu,LU Gang,JIAO Diancheng,WU Wenjun |
| (1a.National Time Service Center; 1b.Key Laboratory of Time and Frequency Primary Standards; 1c.Key Laboratory of Precision Navigation and Timing Technology,Chinese Academy of Sciences,Xi′an 710600,China; 2.University of Chinese Academy of Sciences,Beijing 100049,China;1a.National Time Service Center; 1b.Key Laboratory of Time and Frequency Primary Standards,Chinese Academy of Sciences,Xi′an 710600,China) |
| Abstract: |
| The radio hyperbolic positioning accuracy is determined by the ranging difference error and the geometrical dilution of precision(GDOP).The calculation of the classical single-chain hyperbolic positioning GDOP value requires strict area identification,and the area identification method is complicated and easy to misjudge.Starting from the definition of GDOP and the spherical triangulation equation,according to the error propagation theory,a single-chain hyperbolic positioning GDOP calculation method without region identification is proposed.By taking the Russian Alpha radio navigation system as an example,the GDOP values in two different rectangular regions are calculated.The results show that,compared with the classical method,in the large spanning area (20°N,40°E) and (70°N,140°E),the GDOP value of the proposed method is consistent with that of the classical one;in the small test-verifying area (29°N,103°E) and (38°N,113°E),the absolute deviation of the calculated GDOP value is 0.076,and the mean value is 0.048,which proves the correctness and usability of the proposed method. |
| Key words: no-region identification hyperbolic positioning GDOP calculation single-chain |
