该文提出一种基于四元数的宽带鲁棒自适应波束形成方法。在利用四元数构造阵元输出的基础上，通过期望信号复包络对齐技术，建立四元数域宽带对合增广宽线性信号模型，以联合利用四元数阵列输出矢量的3种对合信息和2阶统计特性以及信号非圆信息，采用信号加干扰子空间投影方式，有效提取期望信号，抑制多个不相关干扰和噪声，进而实现四元数域宽带鲁棒自适应波束形成。同其它宽带波束形成方法相比，该方法对非圆信号的接收性能提升，可以实现阵列虚拟孔径扩展，有效克服指向误差带来的性能下降问题。计算机仿真结果验证了该方法的性能。%A robust quaternion-valued wideband adaptive beamformer is proposed, in which a quaternion is utilized to arrange the output of the array element. By exploiting the augmented envelope alignment technique, adopting the three involutions of quaternion, and incorporating the noncircular information of the signal simultaneously, a quaternion-valued wideband augmented signal model is established to achieve the robust adaptive beamforming based on signal subspace projection. Compared with other wideband beamformers, the proposed scheme exhibits a better performance in extracting noncircular signals by array aperture extension, and is insensitive to the pointing error. The simulation results verify the efficiency of the proposed beamformer.
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