The signal source generates angular expansion in space due to scattering, reflection and other phenomena in a complex environment, which requires a distributed signal model for processing. This paper extends the method of joint angular estimation for coherently distributed (CD) sources consisting of noncircular signals to the impulsive noise scenario. In an actual wireless passive positioning environment, impulsive noise is very common. However, most algorithms only consider Gaussian noise environments and are not suitable for angle estimation in impulsive noise scenarios. This paper proposes the generalized complex correntropy (GCC) and shows that it can eliminate the effects of outliers in an impulsive noise environment. This is because the complex correntropy is an effective tool to analyze higher-order statistical moments in the impulsive noise environment. In order to improve the accuracy of the estimation, we construct a GCC matrix based on extended array output and apply the subspace techniques to extract the angle information of the CD noncircular sources. The simulation results show that the estimation performance of the proposed algorithms is better than the traditional algorithm applied to the noncircular CD sources.

中文翻译：

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脉冲噪声环境下相干分布非圆源的参数估计

信号源在复杂环境中由于散射、反射等现象在空间中产生角膨胀，需要分布式信号模型进行处理。本文将针对由非圆形信号组成的相干分布 (CD) 源的联合角度估计方法扩展到脉冲噪声场景。在实际的无线无源定位环境中，脉冲噪声非常普遍。然而，大多数算法只考虑高斯噪声环境，不适用于脉冲噪声场景中的角度估计。本文提出了广义复相关熵（GCC），并表明它可以消除脉冲噪声环境中异常值的影响。这是因为复相关熵是分析脉冲噪声环境中高阶统计矩的有效工具。为了提高估计的准确性，我们基于扩展阵列输出构造了一个GCC矩阵，并应用子空间技术来提取CD非圆形源的角度信息。仿真结果表明，所提算法的估计性能优于应用于非圆形CD源的传统算法。