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有限快拍条件下的MMV-OMP波达方向估计算法

MMV-OMP DOA Estimation Algorithm under Limited Snapshot Conditions

  • 摘要: 针对水下声学环境中快拍数受限导致的波达方向(DOA)估计性能退化问题,对多测量向量稀疏重构方法开展研究。构建扩展型MMV-OMP算法,通过联合处理多快拍观测数据并利用信号共同稀疏性实现支持集的迭代更新,从而提升快拍数受限及低信噪比条件下的目标方位估计精度。在不同信噪比条件下开展对比仿真,并采用均方根误差与检测概率对性能进行量化评估。结果表明:在快拍数为10、信噪比为−4 dB时,检测概率较对比方法提高约2.2%,均方根误差降低约1.01°,同时保持较低计算复杂度。基于消声水池实测数据的验证结果显示:所提出算法的估计轨迹连续稳定、谱峰聚焦良好,能够有效跟踪目标方位变化。研究表明:该方法在快拍受限场景下具有较高的估计精度与良好的抗噪性能,具备一定的工程应用价值。

     

    Abstract: To address the performance degradation of direction of arrival (DOA) estimation under snapshot-limited conditions in underwater acoustic environments, a sparse reconstruction method based on the multiple measurement vector (MMV) model is investigated. An extended MMV-orthogonal matching pursuit (OMP) algorithm is developed by jointly processing multi-snapshot observations and exploiting the joint sparsity of signals to achieve iterative support set refinement, thereby improving DOA estimation accuracy under low signal-to-noise ratio (SNR) conditions. Comparative simulations are conducted under varying SNR levels, and the performance is quantitatively evaluated using root mean square error (RMSE) and detection probability (DP). The results show that, with 10 snapshots and an SNR of −4 dB, the proposed algorithm improves the detection probability by approximately 2.2% and reduces the RMSE by about 1.01° compared with benchmark methods, while maintaining low computational complexity. Experimental validation based on anechoic water tank data demonstrates that the proposed algorithm produces continuous and stable DOA estimation trajectories with well-focused spectral peaks, enabling effective tracking of target direction variations. The results indicate that MMV-OMP achieves high estimation accuracy and strong noise robustness under snapshot-limited conditions, and exhibits promising potential for practical applications.

     

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