浅海远程目标稳健方位估计方法研究

Research on Remote Target Robust Bearing Estimation Method in Shallow Water

  • 摘要: 本文针对浅海远程目标方位估计问题,提出了一种新的基于简正波理论的浅海稳健方位估计方法。该方法在充分考虑浅海多途效应对方位估计影响的基础之上,结合简正波理论,建立了符合浅海声传播特点的基阵信号模型,并应用矢量最优化方法对阵列源矢量施加约束条件,以提高高分辨方位估计方法在模型失配下的稳健性。通过正则化方法,本文进一步将该稳健方位估计问题转化为二阶锥规划问题,并通过Sedumi进行求解。通过仿真研究,对该算法的空间谱结构、谱峰最大旁瓣比、-3dB波束宽度等性能进行了详细分析,结果表明,该算法在海水深度及声速梯度等不确定条件下,均具有更为尖锐的谱峰及更低的旁瓣水平,具有稳健的方位估计性能。

     

    Abstract: In order to solve the remote bearing estimation problem in shallow water, a new robust bearing estimation method based on the normal mode theory is proposed in this paper. On the basis of the multi-path effects, we utilize the normal mode theory to establish the array signal model, and then impose constraint conditions on the actual source vectors to improve the robustness for the high-resolution bearing estimation methods under the model parameter uncertainties. Through the regularization method, we also present a detailed approach to convert the proposed robust bearing estimation method into the Second Order Cone Programming (SOCP) and then solve the problem by the mathematic software tool, Sedumi. At the same time, the spatial spectrum structure, Peak to Sidelobe Ratio and -3dB beamwidth are discussed and analyzed in detail. The simulation results show that the proposed algorithm has higher spatial spectrum peaks and lower sidelobe level under the conditions of different water depths and sound velocity gradient uncertainties, that is, the proposed bearing estimation method in shallow water has robust performance.

     

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