四元数域宽带鲁棒自适应波束形成

段晓菲 刘志文 徐友根

段晓菲, 刘志文, 徐友根. 四元数域宽带鲁棒自适应波束形成[J]. 雷达学报, 2019, 8(1): 117–124. doi: 10.12000/JR18083
引用本文: 段晓菲, 刘志文, 徐友根. 四元数域宽带鲁棒自适应波束形成[J]. 雷达学报, 2019, 8(1): 117–124. doi: 10.12000/JR18083
DUAN Xiaofei, LIU Zhiwen, and XU Yougen. Robust quaternion-valued wideband adaptive beamforming[J]. Journal of Radars, 2019, 8(1): 117–124. doi: 10.12000/JR18083
Citation: DUAN Xiaofei, LIU Zhiwen, and XU Yougen. Robust quaternion-valued wideband adaptive beamforming[J]. Journal of Radars, 2019, 8(1): 117–124. doi: 10.12000/JR18083

四元数域宽带鲁棒自适应波束形成

doi: 10.12000/JR18083
基金项目: 国家自然科学基金(61490691, 61331019)
详细信息
    作者简介:

    段晓菲(1995–),女,北京理工大学硕士研究生,研究方向为阵列信号处理及其应用。E-mail: duanxx7@163.com

    刘志文(1962–),男,北京理工大学信息与电子学院教授,信号与图像处理研究所所长,博士生导师,研究方向为阵列信号处理及应用、医学信号与图像处理、可穿戴医学电子。E-mail: zwliu@bit.edu.cn

    徐友根(1975–),男,北京理工大学信息与电子学院教授,信号与图像处理研究所副所长,博士生导师,研究方向为阵列信号处理及其应用。E-mail: yougenxu@bit.edu.cn

    通讯作者:

    刘志文  zwliu@bit.edu.cn

  • 中图分类号: TN911.7

Robust Quaternion-valued Wideband Adaptive Beamforming

Funds: The National Natural Science Foundation of China (61490691, 61331019)
More Information
  • 摘要: 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。

     

  • 图  1  六元阵列输出波形比较

    Figure  1.  Output waveform of six-element array

    图  2  两元阵列输出波形比较

    Figure  2.  Output waveform of two-element array

    图  3  波形估计偏差随输入信噪比变化曲线

    Figure  3.  RMSE curves versus SNR

    图  4  波形估计偏差随快拍数变化曲线

    Figure  4.  RMSE curves versus snapshot number

    图  5  有误差情况下波形估计偏差随输入信噪比变化曲线

    Figure  5.  RMSE curves versus SNR under error conditions

    图  6  有误差情况下波形估计偏差随输入信噪比变化曲线

    Figure  6.  RMSE curves versus SNR under error conditions

    图  7  有误差情况下波形估计偏差随快拍数变化曲线

    Figure  7.  RMSE curves versus snapshot number under error conditions

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出版历程
  • 收稿日期:  2018-09-29
  • 修回日期:  2018-11-23
  • 网络出版日期:  2019-02-28

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