| QI Ke,QU Guoqing,XUE Shuqiang,Xu Tianhe,SU Xiaoqing,LIU Yixu,WAN Jun. 2019. Analytical optimization on GNSS buoy array for underwater positioning. Acta Oceanologica Sinica, 38(7):137－143 |
| Analytical optimization on GNSS buoy array for underwater positioning |
| GNSS声呐水下定位浮标阵列解析优化 |
| Received:January 08, 2018 |
| DOI：10.1007/s13131-019-1465-1 |
| Key words:underwater positioning GNSS buoy GDOP optimization |
| 中文关键词: 水下定位 GNSS浮标 GDOP 优化 |
| 基金项目:The National High-tech R & D Program under contract No. 2016YFB0501700. |
| Author Name | Affiliation | E-mail | | QI Ke | School of Civil and Architectural Engineering, Shandong University of Technology, Zibo 255000, China
Chinese Academy of Surveying and Mapping, Beijing 100830, China | | | QU Guoqing | School of Civil and Architectural Engineering, Shandong University of Technology, Zibo 255000, China | qgq@sdut.edu.cn | | XUE Shuqiang | Chinese Academy of Surveying and Mapping, Beijing 100830, China
School of Geological and Surveying Engineering, Chang'an University, Xi'an 710054, China | | | Xu Tianhe | Institute of Space Sciences, Shandong University, Weihai 264200, China | | | SU Xiaoqing | School of Civil and Architectural Engineering, Shandong University of Technology, Zibo 255000, China | | | LIU Yixu | School of Civil and Architectural Engineering, Shandong University of Technology, Zibo 255000, China | | | WAN Jun | Chinese Academy of Surveying and Mapping, Beijing 100830, China | |
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| Abstract: |
| Global navigation satellite system (GNSS)/acoustic positioning precision is determined by the positioning geometry and the ranging precision; thus optimizing GNSS buoys array is meaningful to improve the positioning accuracy and reliability. An analytical method is proposed for optimizing the GNSS buoys array with regard to the cutoff angle constraints for underwater acoustic observations. For the practical limitation of coplanarity of GNSS buoys and the cutoff angle, an algorithm is proposed to analytically minimize the position dilution of precision (PDOP). The proposed method is validated to give complete solutions of PDOP minimization with five GNSS buoys. At last, in order to search a best configuration among the PDOP solution set, we propose a search algorithm to get the solution with the smallest geometric dilution of precision (GDOP). It indicates that within a given region, the GDOP minimization at the center of a region is equivalent to the PDOP mean minimization over the region. The relation between the positioning accuracy and the positioning geometry with five known points is illustrated in an experiment performed in South China Sea. |
| 中文摘要: |
| GNSS/声纳定位精度主要取决于GNSS浮标阵列构型和测距精度。优化水面GNSS浮标阵列对提高定位精度和可靠性有重要意义。本文提出了基于高度角约束条件的GNSS浮标阵列优化搜索算法。基于GNSS浮标位于海平面和高度角约束条件，本文提出了优化PDOP算法。我们以5个浮标为例对该算法进行了验证，并且获得了完整解。最后，为了在PDOP最小的解中搜索到最优构型，我们提出了一个用来获取最小GDOP解的搜索算法。算法表明：在区域范围内，区域中心点处GDOP最小与区域PDOP均值最小是等价的。我们用中国南海实测数据阐明了5枚浮标情况下定位图形与定位精度的关系。 |
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