无需信源数的矢量水听器的改进Capon算法研究
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桂林电子科技大学

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国家级大学生创新训练项目“枪声溯源定位探测系统”(202410595036); 广西自然科学基金“水下小孔径超增益高阶矢量声呐应用基础研究”(2025GXNSFFA069010); 广西技术创新引导专项“基于双频多波束声呐的水下人造物高分辨探测研究”(桂科 AC25069006); 广西科技基地和人才专项“基于深度学习的声呐图像识别方法研究”(桂科 AD21220098)。


Research on the Improved Capon Algorithm for Vector Hydrophones with Unknown Number of Signal Sources
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National-level College Students' Innovation Training Program "Gunshot Traceback and Location Detection System" (202410595036); Guangxi Technological Innovation Guidance Special Project "Research on High-resolution Detection of Underwater Artificial Objects Based on Dual-frequency Multi-beam Sonar" (Guikexue AC25069006); Guangxi Science and Technology Base and Talent Special Project "Research on Sonar Image Recognition Methods Based on Deep Learning" (Guikexue AD21220098)

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    摘要:

    针对传统子空间类算法在DOA(Direction of Arrival)估计存在依赖信源数、算法分辨率有限等问题,本文提出了一种基于矢量水听器改进Capon算法(Improved Capon Estimator,ICE),此算法在未知信源数条件下可实现准确DOA估计。该方法利用了矢量水听器同步获取声压与振速数据的特性,构建矢量阵列模型;同时在Capon类代价函数框架内引入高阶逆协方差矩阵,通过提升矩阵逆的幂次,抑制信号子空间分量对DOA估计的干扰,克服传统子空间算法依赖于先验信源数的问题。本方法基于信号与噪声子空间特性差异,以高阶逆矩阵调控适配水下未知信源场景下的DOA估计。经数值仿真验证,该方法在信源数未知条件下,能准确实现高分辨率DOA估计,相较于CBF、MUSIC等对比算法,对相邻目标的分辨能力更强、具备良好的鲁棒性。

    Abstract:

    In view of the problems that traditional subspace-based algorithms have in DOA (Direction of Arrival) estimation, such as being dependent on the number of sources and having limited algorithm resolution, this paper proposes an improved Capon algorithm based on vector hydrophones (Improved Capon Estimator, ICE). This algorithm can achieve accurate DOA estimation under the condition of unknown number of sources. This method takes advantage of the characteristic that vector hydrophones can simultaneously obtain sound pressure and vibration velocity data, and constructs a vector array model. At the same time, it introduces a higher-order inverse covariance matrix within the framework of Capon-type cost functions to enhance the power of matrix inversion, suppress the interference of signal subspace components on DOA estimation, and overcome the problem that traditional subspace algorithms are dependent on prior knowledge of the number of sources. This method is based on the difference in the characteristics of the signal and noise subspaces, and regulates the high-order inverse matrix to adapt to the DOA estimation in the unknown source scenario. Numerical simulations have verified that this method can accurately achieve high-resolution DOA estimation under the condition of unknown number of sources. Compared with algorithms such as CBF and MUSIC, it has stronger resolution capability for adjacent targets and better robustness.

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  • 收稿日期:2025-08-29
  • 最后修改日期:2025-09-18
  • 录用日期:2025-10-14
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