Laguerre Wideband Beamforming Algorithm Based on Generalized Sidelobe Canceller
Liu Cheng-cheng*① Liu Ya-qi① Zhao Yong-jun① Yang Jing①②
①(School of Navigation and Aerospace Object Engineering, Information Engineering University, Zhengzhou 450001, China) ②(Automation Station, Unit 72495, Zhengzhou 450001, China)
Compared with conventional FIR and IIR broadband beamformers, the Laguerre broadband beamformer based on the Frost structure can achieve perfect performance. However, it needs the optimal solution of the solo pole, and it suffers high computational complexity and slow convergence speed. To address these problems, a novel Laguerre wideband beamforming algorithm based on GSC is proposed. A novel solution of the poles based on the least square method with low computational complexity is presented on the basis of the GSC structure of a Laguerre wideband beamformer. Thereafter, the broadband beamformer is achieved using the normalized LMS method. The simulations illustrate that without the optimal process of adjusting the solo pole in the Laguerre broadband beamformer based on the Frost structure, the proposed method can ensure high output SINR, reduce the computational complexity, and improve the convergence speed.
Liu W and Weiss S. Wideband Beamforming: Concepts and Techniques[M]. Chichester, UK, John Wiley & Sons, 2010: 1-50.
[2]
范展, 梁国龙. 基于凸优化的最小旁瓣恒定束宽时域宽带波 束形成[J]. 电子学报, 2013, 41(5): 943-949. Fan Zhan and Liang Guo-long. Broadband beamforming with minimum sidelobe and constant beamwidth based on convex optimization[J]. Acta Electronica Sinica, 2013, 41(5): 943-949.
[3]
Zhao Y, Liu W, and Langley R J. An application of the least squares approach to fixed beamformer design with frequency invariant vonstraints[J]. IET Signal Processing, 2011, 5(3): 281-291.
[4]
Frost III O L. An algorithm for linearly constrained adaptive array processing[J]. Proceedings of the IEEE, 1972, 60(8): 926-935.
[5]
Griffiths L J and Jim C W. An alternative approach to linearly constrained adaptive beamforming[J]. IEEE Transactions on Antennas and Propagation, 1982, 30(1): 27-34.
[6]
Vook F W and Compton R T. Bandwidth performance of linear adaptive arrays with tapped delay-line processing[J]. IEEE Transactions on Aerospace and Electronic Systems, 1992, 28(3): 901-908.
[7]
Sekiguchi T and Karasawa Y. Wideband beamspace adaptive array utilizing FIR fan filters for multibeam forming[J]. IEEE Transactions on Signal Processing, 2000, 48(1): 277-284.
[8]
Liu W, Weiss S, and Hanzo L. A subband-selective broadband GSC with cosine-modulated blocking matrix[J]. IEEE Transactions on Antennas and Propagation, 2004, 52(3): 813-820.
[9]
Liu W, Weiss S, and Hanzo L. A generalized sidelobe canceller employing two-dimensional frequency invariant filters[J]. IEEE Transactions on Antennas and Propagation, 2005, 53(7): 2339-2343.
[10]
Gooch R P and Shynk J J. Wideband adaptive array processing using pole-zero digital filters[J]. IEEE Transactions on Antennas and Propagation, 1986, 34(3): 355-367.
[11]
Adkins C N and Turtora J J. A broadband beam former with pole-zero unconstrained jammer rejection in linear arrays[J]. IEEE Transactions on Signal Processing, 1996, 44(2): 438-441.
[12]
Ghavami M and Kohno R. Recursive fan filters for a broadband partially adaptive antenna[J]. IEEE Transactions on Communications, 2000, 48(2): 185-188.
[13]
Duan H, Ng B P, and See C N. A new broadband beamformer using IIR filters[J]. IEEE Signal Processing Letter, 2005, 12(11): 776-779.
[14]
Duan H, Ng B P, See C N, et al.. Broadband beamforming using TDL-form IIR filters[J]. IEEE Transactions on Signal Processing, 2007, 55(3): 990-1003.
[15]
Seydnejad S R and Ebrahimi R. Broadband beamforming using Laguerre filters[J]. Signal Processing, 2012, 92(1): 1093-1100.
2015, Vol. 4 
