双基地声呐系统的空间阵位设计分析

Analysis of Spatial Configuration Design of Bistatic Sonar System

  • 摘要: 利用双基地声呐系统定位目标时,系统不同的布阵方式与布放结构会引起定位性能的显著差异,如何设计双基地系统的阵位结构来提高定位精度至关重要。针对这个问题,本文基于到达时间主动定位方法推导了误差估计的双基地声呐克拉美罗界,并以最高定位精度为优化目标,研究了双基地声呐系统的空间阵位设计问题。其中,规范了系统测时误差服从零均值高斯白噪声假设的适用场景为合作定位场景,并针对非合作目标定位场景,推导了系统测时误差随着距离变化的数学表达式,从而修正了双基地声呐的克拉美罗界。不仅如此,还探究了系统测时误差、声速波动等干扰因子对目标定位精度的影响。最后仿真结果表明,未修正的双基地声呐最优阵位结构对应分置角为101.5°;而修正后的双基地最优阵位结构与系统配置有关。随着系统配置比的不断增大,双基地最优分置角会趋向于90°。该研究可以为双/多基地声呐系统的最优化配置提供布阵参考方案。

     

    Abstract: ‍ ‍When using the bistatic sonar system to locate targets, different configuration patterns and structures can cause significant differences in positioning performance, so it is crucial to optimize the design of the configuration structure of the bistatic sonar system. To solve this problem, the article derives the error estimation of the Cramér-Rao bound (CRB) for bistatic sonar based on active Time-only Localization (TOL) method, and researches the optimal spatial configuration design problem of bistatic sonar systems with the highest positioning accuracy as the optimization objective. Among them, it is standardized that the applicable scenario where the system timing error obeying the zero-mean Gaussian white noise is the cooperative location scenario. For the non-cooperative location scenario, the mathematical expression of the system timing error varying with the target distance is derived. Therefore, correcting the Cramér-Rao lower bound (CRLB) of the bistatic sonar. Besides, the focus was on exploring the impact of factors such as system timing errors and sound velocity fluctuations on target positioning accuracy. Finally, simulation results show that optimal configuration of uncorrected bistatic sonar is at the separation angle of value in 101.5°. But the corrected bistatic optimal configuration is related to system configuration. With the increase of the system configuration ratio, the bistatic optimal separation angle will get closer and closer to 90°. And this research can provide array reference for optimal configuration of the bistatic/multistatic sonar system.

     

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