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中文核心期刊

利用稀疏贝叶斯学习的抗伪峰频差方位估计方法

Spurious peak-resistant frequency-difference DOA estimation via sparse Bayesian learning

  • 摘要: 频率差分方法通过对高频信号共轭相乘降低处理频率, 可有效解决稀疏阵列水下目标方位估计的空间混叠问题, 但频率差分处理会导致方位谱主瓣展宽, 旁瓣水平较高。针对上述问题, 本文将稀疏贝叶斯学习算法应用于频率差分波束形成, 利用SBL的高分辨特性优化频率差分方法方位估计精度, 针对共轭相乘导致的交叉项伪峰问题, 提出迭代更新字典矩阵频率差分稀疏贝叶斯学习方法(iterative refined dictionary frequency-difference sparse Bayesian learning, IRD-FDSBL)。该方法通过量化不同频点方位谱峰值的稳定性, 动态剔除字典矩阵中的干扰向量, 多次迭代更新实现伪峰的去除。仿真与海试实验数据结果表明, 所提方法对比常规频率差分波束形成具有更高的分辨力和方位估计精度, 在水下多目标方位估计场景下, 可以有效抑制伪峰, 避免弱目标峰值被方位谱中高旁瓣淹没, 提高方位估计准确性。

     

    Abstract: Frequency-difference methods reduce the processing frequency by conjugate multiplication of high-frequency signals, and can effectively mitigate spatial aliasing in direction-of-arrival estimation for underwater targets using sparse arrays. However, frequency-difference processing also broadens the main lobe of the spatial spectrum and results in relatively high sidelobe levels. To address these issues, this paper applies sparse Bayesian learning (SBL) to frequency-difference beamforming, exploiting the high-resolution capability of SBL to improve the direction estimation accuracy of frequency-difference methods. In addition, to suppress spurious peaks caused by cross terms introduced by conjugate multiplication, an iterative refined dictionary frequency-difference sparse Bayesian learning (IRD-FDSBL) method is proposed. The proposed method dynamically removes interference vectors from the dictionary matrix by quantifying the stability of spectral peaks at different frequency points, and eliminates spurious peaks through multiple iterations of dictionary updating. Simulation and sea-trial experimental results demonstrate that, compared with conventional frequency-difference beamforming, the proposed method achieves higher resolution and direction estimation accuracy. In underwater multi-target direction estimation scenarios, it can effectively suppress spurious peaks, prevent weak target peaks from being masked by high sidelobes in the spatial spectrum, and improve the accuracy of direction estimation.

     

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