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四元数域对合增广宽线性自适应波束形成

刘志文 王荔 徐友根

刘志文, 王荔, 徐友根. 四元数域对合增广宽线性自适应波束形成[J]. 电子与信息学报, 2017, 39(7): 1525-1531. doi: 10.11999/JEIT160988
引用本文: 刘志文, 王荔, 徐友根. 四元数域对合增广宽线性自适应波束形成[J]. 电子与信息学报, 2017, 39(7): 1525-1531. doi: 10.11999/JEIT160988
LIU Zhiwen, WANG Li, XU Yougen. Quaternion-valued Widely Linear Adaptive Beamformingvia Involution Augmentation[J]. Journal of Electronics & Information Technology, 2017, 39(7): 1525-1531. doi: 10.11999/JEIT160988
Citation: LIU Zhiwen, WANG Li, XU Yougen. Quaternion-valued Widely Linear Adaptive Beamformingvia Involution Augmentation[J]. Journal of Electronics & Information Technology, 2017, 39(7): 1525-1531. doi: 10.11999/JEIT160988

四元数域对合增广宽线性自适应波束形成

doi: 10.11999/JEIT160988
基金项目: 

国家自然科学基金(61490691, 61331019)

Quaternion-valued Widely Linear Adaptive Beamformingvia Involution Augmentation

Funds: 

The National Natural Science Foundation of China (61490691, 61331019)

  • 摘要: 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。
  • LI J and STOICA P. Robust Adaptive Beamforming[M]. New York: Wiley, 2005: 1-410.
    JIANG X, ZENG W, YASOTHARAN A, et al. Quadratically constrained minimum dispersion beamforming via gradient projection[J]. IEEE Transactions on Signal Processing, 2015, 63(1): 192-205. doi: 10.1109/TSP.2014.2367464.
    刘子威, 苏洪涛, 胡勤振. 一种零陷展宽稳健旁瓣相消算法[J]. 电子与信息学报, 2016, 38(3): 565-570. doi: 10.11999/ JEIT150686.
    LIU Ziwei, SU Hongtao, and HU Qinzhen. Robust sidelobes cancellation algorithm with null broadening[J]. Journal of Electronics Information Technology, 2016, 38(3): 565-570. doi: 10.11999/JEIT150686.
    李立欣, 白童童, 张会生, 等. 改进的双约束稳健Capon波束形成算法[J]. 电子与信息学报, 2016, 38(8): 2014-2019. doi: 10.11999/JEIT151213.
    LI Lixin, BAI Tongtong, ZHANG Huisheng, et al. Improved double constraint robust Capon beamforming algorithm[J]. Journal of Electronics Information Technology, 2016, 38(8): 2014-2019. doi: 10.11999/JEIT151213.
    RUAN H and DE LAMARE R C. Robust adaptive beamforming based on low-rank and cross-correlation techniques[C]. Proceedings of IEEE 23rd European Signal Processing Conference, Nice, France, 2015: 3919-3932. doi: 10.1109/TSP.2016.2550006.
    LI Y, MA H, YU D, et al. Iterative robust Capon beamforming[J]. Signal Processing, 2016, 118: 211-220. doi: 10.1016/ j.sigpro.2015.07.004.
    COMPTON R T. On the performance of a polarization sensitive adaptive array[J]. IEEE Transactions on Antennas and Propagation, 1981, 29(5): 718-725. doi: 10.1109/TAP. 1981.1142651.
    COMPTON R T. The tripole antenna: An adaptive array with full polarization flexibility[J]. IEEE Transactions on Antennas and Propagation, 1981, 29(6): 944-952. doi: 10.1109/TAP.1981.1142690.
    NEHORAI A, HO K C, and TAN B T G. Minimum- noise-variance beamformer with an electromagnetic vector sensor[J]. IEEE Transactions on Signal Processing, 1999, 47(3): 601-618. doi: 10.1109/ 78.747769.
    MIRON S, BIHAN N L, and MARS J I. Quaternion-MUSIC for vector-sensor array processing[J]. IEEE Transactions on Signal Processing, 2006, 54(4): 1218-1229. doi: 10.1109/ TSP.2006.870630.
    GONG X F, XU Y G, and LIU Z W. Quaternion ESPRIT for direction finding with a polarization sentive array[C]. Proceedings of International Conference on Signal Processing, Beijing, China, 2008: 378-381. doi: 10.1109/ICOSP.2008. 4697149.
    BIHAN N L, MIRON S, and MARS J I. MUSIC algorithm for vector-sentors array using biquaternions[J]. IEEE Transactions on Signal Processing, 2007, 55(9): 4523-4533. doi: 10.1109/TSP.2007.896067.
    李旦, 蒋景飞, 张建秋. 双四元数矢量传感器阵列模型和电磁源定位[J]. 电子学报, 2011, 39(9): 1997-2003.
    LI Dan, JIANG Jingfei, and ZHANG Jianqiu. Biquaternion vector-sensor array model and electromagnetic source localization[J]. Acta Electronica Sinica, 2011, 39(9): 1997-2003.
    GOU X M, XU Y G, LIU Z W, et al. Quaternion-Capon beamformer using crossed-dipole arrays[C]. Proceedings of IEEE International Symposium on Microwave, Antenna, Propagation, and EMC Technologies for Wireless Communications, Beijing, China, 2011: 34-37. doi: 10.1109/ MAPE. 2011.6156140.
    TAO J W and CHANG W X. A novel combined beamformer based on hypercomplex processes[J]. IEEE Transactions on Aerospace and Electronic Systems, 2013, 49(2): 1276-1289. doi: 10.1109/TAES.2013.6494413.
    ZHANG X R, LIU W, XU Y G, et al. Quaternion-valued robust adaptive beamformer for electromagnetic vector- sensor arrays with worst-case constraint[J]. Signal Processing, 2014, 104(6): 274-283. doi: 10.1016/j.sigpro. 2014.04.006.
    JIANG M D, LIU W, and LI Y. Adaptive beamforming for vector-sensor arrays based on a reweighted zero-attracting quaternion-valued LMS algorithm[J]. IEEE Transactions on Circuits and Systems II: Express Briefs, 2016, 63(3): 274-278. doi: 10.1109/TCSII.2015.2482464.
    TOOK C C and MANDIC D P. A quaternion widely linear adaptive filter[J]. IEEE Transactions on Signal Processing, 2010, 58(8): 4427-4431. doi: 10.1109/TSP.2010.2048323.
    ZHANG X R, LIU Z W, FAN Z Y, et al. Quaternion-valued robust adaptive beamformer based on widely linear processing[C]. Proceedings of the International Conference on Digital Signal Processing, Hong Kong, China, 2014: 719-724. doi: 10.1109/ ICDSP.2014.6900758.
    CHEVALIER P and BLIN A. Widely linear MVDR beamformers for the reception of an unknown signal corrupted by noncircular interferences[J]. IEEE Transactions on Signal Processing, 2007, 55(11): 5323-5336. doi: 10.1109/ TSP.2007.899394.
    WANG G H, LIE J P, and SEE C M S. A robust approach to optimum widely linear MVDR beamformer[C]. Proceedings of the International Conference on Acoustic, Speech and Signal Processing, Kyoto, Japan, 2012: 2593-2596. doi: 10. 1109/ ICASSP.2012.6288447.
    XU Y G, MA J Y, LIU Z W, et al. A class of diagonally loaded robust Capon beamformers for noncircular signals of interest[J]. Signal Processing, 2014, 94(1): 670-680. doi: 10.1016/j.sigpro.2013.07.013.
    WARD J P. Quaternions and Cayley Numbers: Algebra and Applications[M]. Norwell, Massachusetts: Kluwer, 1997: 54-102.
    TODD A E and STEPHEN J S. Quaternion involutions and anti-involutions[J]. Computer and Mathematics with Applications, 2007, 53(1): 137-143. doi: 10.1016/j.camwa. 2006.10.029.
    JIANG M D, LI Y, and LIU W. Properties of a general quaternion-valued gradient operator and its applications to signal processing[J]. Frontiers of Information Technology and Electronic Engineering, 2016, 17(2): 83-95. doi: 10.1631/ FITEE.1500334.
    LIU J, LIU W J, CHEN B, et al. Modified Rao test for multichannel adaptive signal detection[J]. IEEE Transactions on Signal Processing, 2016, 64(3): 714-725. doi: 10.1109/ TSP.2015.2491892.
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出版历程
  • 收稿日期:  2016-09-29
  • 修回日期:  2017-02-10
  • 刊出日期:  2017-07-19

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