该文提出一种基于4元数的宽线性自适应波束形成方法,该方法在利用4元数构建单个阵元输出的基础上,通过充分挖掘4元数的3种对合信息,联合信号的非圆特性,建立4元数域对合增广信号模型,进而实现4元数域宽线性自适应波束形成.同传统4元数波束形成技术相比,该方法对非圆信号的接收性能显著提升,同时可以实现阵列虚拟孔径扩展,增大自适应波束形成干扰抑制自由度.仿真实验验证了所提波束形成方法的性能.%An adaptive beamformer based on quaternion-valued widely linear processing is proposed, in which the output is expressed in quaternions for each array element. Taking into account the array output vector and its three involutions simultaneously, a quaternion-valued augmented signal model is established to exploit the noncircular information of the desired signal. The involution augmented adaptive beamforming is finally fulfilled based on the quaternion-valued widely linear processing. Compared with the conventional quaternion beamformers, the proposed beamformer has an improved reception capability for noncircular signals. The aperture of the array is extended and hence the degree-of-freedom of interference suppression is increased via widely linear processing. Simulations results illustrate the performance of the proposed beamformer.
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