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中文核心期刊

融合正交匹配追踪与信号子空间匹配的信源数估计方法

Source number estimation based on orthogonal matching pursuit and signal subspace matching

  • 摘要: 复杂水声环境中低信噪比、有色噪声、相干信源及有限快拍数等因素往往使传统信源数估计方法性能显著下降, 但正交匹配追踪方法仍能估计得到较为准确的支撑向量。为实现信源数稳健估计, 利用正交匹配追踪方法迭代求解的支撑向量, 以及其残差最大特征值对应的特征向量来构建两个子空间, 并通过信号子空间匹配准则实现信源数估计。仿真结果表明, 与现有信源数估计方法相比, 本文方法对信噪比要求更低, 在小快拍条件下表现更好, 同时对相干信源和有色噪声不敏感。湖试数据处理结果表明, 该方法能有效估计出固定和移动的水声目标数。

     

    Abstract: In complex underwater acoustic environments, factors such as low signal-to-noise ratio, colored noise, coherent sources, and limited snapshots often significantly degrade the performance of conventional source number estimation methods. Nevertheless, the orthogonal matching pursuit method can still estimate support vectors with considerable accuracy. To robustly estimate the number of sources, this paper constructs two subspaces using the orthogonal matching pursuit method. The two subspaces are generated by the support vectors iteratively solved by the orthogonal matching pursuit method and the eigenvector corresponding to the maximum eigenvalue of the residual. Finally, the two subspaces are used for signal subspace matching criteria to estimate the number of sources. Simulations show that, compared to existing source number estimation methods, the proposed method requires a lower signal-to-noise ratio. It performs better under conditions with a small number of snapshots and is also insensitive to coherent sources and colored noise. The lake trial data processing result shows the method can effectively estimate the number of fixed and moving underwater acoustic targets.

     

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