A direction-of-arrival (DOA) estimator is presented for statistically independent non-Gaussian and non-circular wideband signals in the presence of Gaussian noise (possibly spatially colored). With joint exploitation of non-Gaussianity and non-circularity of incident signals, enhanced aperture extension is achieved. The incorporation of the aligned biquaternion adjoint subspace augmentation and the aligned virtual array synthesis within the biquaternion framework, using both the standard and the complementary fourth-order cumulant matrices, enables wideband underdetermined DOA estimation: handling more signals than the number of sensors. The efficacy of the presented method has been demonstrated using simulated data.

中文翻译：

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基于累积量的双四元数方法进行宽带信号测向

在存在高斯噪声（可能是空间着色的）的情况下，针对统计上独立的非高斯和非圆形宽带信号提供了到达方向 (DOA) 估计器。通过联合利用入射信号的非高斯性和非圆性，实现了增强的孔径扩展。对齐双四元数伴随子空间增强和对齐虚拟阵列合成在双四元数框架内的结合，使用标准和互补四阶累积矩阵，实现宽带欠定 DOA 估计：处理比传感器数量更多的信号。已使用模拟数据证明了所提出方法的有效性。