海洋长基线定位系统构型多指标联合评估方法

Multi-criteria joint evaluation method for marine long baseline positioning configuration

  • 摘要: 本文针对长基线(long baseline,LBL)声学定位系统中声信标几何构型优化问题,系统分析了克拉默-拉奥下界(Cramer-Rao lower bound,CRLB)、Fisher信息矩阵(Fisher information matrix,FIM)和几何精度因子(geometric dilution of precision,GDOP)三种评价因子的性能特征及应用场景. 与雷达/卫星定位不同,水声定位受复杂海洋环境影响显著,本文重点研究了三种评价因子在300 m×300 m监测区域内的应用差异及其在水声环境中的特殊性. 结果表明:水声定位受声信标几何构型的影响,导致定位误差模型更为复杂,而CRB能够更敏感地反映该因素对理论误差下界的影响. FIM在水下定位应用中需结合系统构型分析信息量分布,避免几何构型缺陷导致的信息不均衡问题. 几何精度因子(geometric dilution of precision,GDOP)的无量纲特性可直观体现声信标空间分布对定位误差的几何放大效应. 本文以此提出多指标联合评估策略:优先采用GDOP进行构型筛选,结合CRB验证理论极限精度,辅以FIM分析信息量分布特性. 弥补了单一指标在水声复杂场景下的局限性.

     

    Abstract: This paper systematically analyzes the performance characteristics and application scenarios of three evaluation metrics—Cramér-Rao lower bound (CRB), Fisher information matrix (FIM), and geometric dilution of precision (GDOP)—for the optimization of acoustic beacon geometric configurations in long-baseline acoustic positioning systems. Unlike radar or satellitee positioning, underwater acoustic positioning is significantly affected by the complex marine environment. This study focuses on the application differences of three evaluation factors within a 300 m×300 m monitoring area and their particularities in the underwater acoustic environment. The results show that hydroacoustic positioning is affected by the geometric configuration of the sound reference beacon, resulting in a more complex positioning error model. CRB can more sensitively reflect the influence of this factor on the theoretical lower bound of errors. FIM requires a combined analysis of system configuration to assess information distribution, avoiding information imbalance caused by geometric configuration defects. The dimensionless nature of GDOP can intuitively demonstrate the geometric amplification effect of the spatial distribution of acoustic beacons on the positioning error. Based on these findings, this paper proposes a multi-index combined evaluation strategy: prioritize the use of GDOP for configuration screening,combine the CRB to verify the theoretical limit accuracy, and supported by FIM to analyze information distribution characteristics. This integrated approach effectively compensates for the limitations of single-metric evaluation in complex hydroacoustic scenarios.

     

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