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多目标水声信号的稀疏重构反卷积测向算法

Deconvolution direction finding algorithm for sparse reconstruction of multi-target underwater acoustic signals

  • 摘要: 针对浅海复杂定位环境下信噪比低、多信源目标方位估计分辨能力低的问题,文章提出了多目标水声信号的离格稀疏贝叶斯学习重构反卷积测向算法。首先,该算法利用维纳滤波反卷积算法对阵元接收的信号进行“去噪”处理,然后对信号数据进行奇异值分解,从而降低噪声和信号重构过程的计算量;再建立离格稀疏信号模型,通过贝叶斯学习算法得到最大后验概率;最后求出多个目标信源的波达方向估计值。文章所提算法通过使用维纳滤波反卷积超分辨算法,获得了更高的方位估计的分辨率,提高了对多个目标的检测性能。仿真分析和海试实验数据结果表明,与MUSIC算法和OGSBI算法相比,该方法在信噪比大于-8 dB时,方位估计的均方根误差在1°以内,并在多目标定位精度、算法鲁棒性以及运行速度上均有更优的性能,为水下多目标波达方向估计提供了参考。

     

    Abstract: Aiming at the problem that low signal-to-noise ratio causes the low resolution ability of multi-source target azimuth estimation in the shallow sea complex positioning environment, an algorithm for the deconvolution of the offgrid sparse reconstruction of multi-target underwater acoustic signals based on off-grid sparse Bayesian learning is proposed. First, the algorithm uses the Wiener filter deconvolution algorithm to "de-noise" the signal received by the array, and then performs singular value decomposition of the signal data to reduce the noise and the computational complexity in the signal reconstruction process. Secondly, the off-grid sparse signal model is established, and the maximum posterior probability is obtained by the Bayesian learning algorithm. Finally, the estimates for the direction of arrival (DOA) of multiple target sources are obtained. The proposed algorithm uses Wiener filtering deconvolution super-resolution algorithm to best estimate the signal received by the array, thereby suppressing noise interference, obtaining higher resolution, and improving the detection performance of multiple objects. Simulation analysis and sea trial results show that, compared with MUSIC algorithm and OGSBI algorithm, the root mean square error of azimuth estimation of this method is within 1° when the signal-to-noise ratio is greater than -8 dB, and it has better performances in multi-target positioning accuracy, algorithm robustness and operating speed, which provides a reference for the DOA estimation of underwater multi-target.

     

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