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

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)

计量
- 文章访问数: 1447
- HTML全文浏览量: 119
- PDF下载量: 457
- 被引次数: 0
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

Quaternion-valued Widely Linear Adaptive Beamformingvia Involution Augmentation

Funds:

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

摘要

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。
- 信号处理 /
- 自适应波束形成 /
- 4元数 /
- 宽线性处理 /
- 非圆信号
Abstract: 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.
- Signal processing /
- Adaptive beamforming /
- Quaternion /
- Widely linear processing /
- Noncircular signal

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参考文献(29)

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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