基于Laguerre滤波器等价设计的IIR宽带波束形成

doi:10.3969/j.issn.0372-2112.2015.02.030

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电子学报 ›› 2015, Vol. 43 ›› Issue (2) : 399-404. DOI: 10.3969/j.issn.0372-2112.2015.02.030

科研通信

基于Laguerre滤波器等价设计的IIR宽带波束形成

刘成城¹, 刘亚奇¹, 赵拥军¹, 杨静^1,2

作者信息 +

A Novel IIR Wideband Beamforming Algorithm Based on the Equivalent Design of Laguerre Filter

LIU Cheng-cheng¹, LIU Ya-qi¹, ZHAO Yong-jun¹, YANG Jing^1,2

Author information +

文章历史 +

摘要

常规IIR宽带波束形成器可以获得比FIR宽带波束形成器更好的性能,但其需要多极点的自适应调整过程,存在稳定性无法保证,计算复杂度较高等问题.本文提出一种新的基于IIR滤波器的宽带波束形成算法.该算法基于高阶Laguerre宽带波束形成器,利用双线性变换和函数束方法设计相应的低阶等价IIR宽带波束形成器.仿真实验及理论分析表明,该方法无需常规IIR宽带波束形成器的多极点自适应调整过程,在保证算法稳定性的同时,减少了计算复杂度,并提高了输出信干噪比(SINR).

Abstract

Conventional broadband beamforming structures make use of finite-impulse-response(FIR)filters in each channel.It has been proven that the optimal frequency-dependent array weightings of broadband beamformers could be better approximated by infinite-impulse-response(IIR)filters.However,some potential problems,such as stability monitoring and the high computational complexity,of the IIR filters due to the adaptive algorithm required to adjust the poles make the implementation of the IIR beamformers difficult.In this paper,a novel broadband IIR beamformer is proposed to solve these problems.Based on the high order Laguerre beamformer,an equivalent lower order IIR beamformer is designed by using the method of bilinear transformation and pencil-of-functions.The simulations illustrate that without the process of adjusting the poles,the proposed method can ensure the stability,reduce the computational complexity and improve the output SINR.

导出引用

刘成城, 刘亚奇, 赵拥军, 杨静. 基于Laguerre滤波器等价设计的IIR宽带波束形成[J]. 电子学报, 2015, 43(2): 399-404. https://doi.org/10.3969/j.issn.0372-2112.2015.02.030

LIU Cheng-cheng, LIU Ya-qi, ZHAO Yong-jun, YANG Jing. A Novel IIR Wideband Beamforming Algorithm Based on the Equivalent Design of Laguerre Filter[J]. Acta Electronica Sinica, 2015, 43(2): 399-404. https://doi.org/10.3969/j.issn.0372-2112.2015.02.030

中图分类号： TN911.7

参考文献

[1] Liu W,Weiss S.Wideband Beamforming:Concepts and Techniques[M].Chichester,U.K:Wiley,2010.13-35.
[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,Liang Guo-long.Broadband beamforming with minimum sidelobe and constant beamwidth based on convex optimization[J].Acta Electronica Sinica,2013,41(5):943-949.(in Chinese)
[3] 陈文俊,王建,聂在平.数字阵列天线接收通道宽带信号校准与波束形成技术研究[J].电子学报,2013,41(3):582-587. Chen Wen-jun,Wang Jian,Nie Zai-ping.Study on the calibration of receiving channels and the beamforming technology for wideband digital array antennas[J].Acta Electronica Sinica,2013,41(3):582-587.(in Chinese)
[4] O L Frost III.An algorithm for linearly constrained adaptive array processing[J].Proceedings of the IEEE,1972,60(8):926-935.
[5] L J Griffiths,C W Jim.An alternative approach to linearly constrained adaptive beamforming[J].IEEE Transactions on Antennas and Propagation,1982,30(1):27-34.
[6] F W Vook,R T Compton.Bandwidth performance of linear adaptive arrays with tapped delay-line processing[J].IEEE Trans Aerosp Electron Syst,1992,28(3):901-908.
[7] T Sekiguchi,Y Karasawa.Wideband beamspace adaptive array utilizing FIR fanfilters for multibeam forming[J].IEEE Trans.Signal Processing,2000,48(1):277-284.
[8] W Liu,S Weiss,L Hanzo.A subband-selective broadband GSC with cosine-modulated blocking matrix[J].IEEE Trans Antennas Propag,2004,52(3):813-820.
[9] W Liu,S Weiss,L Hanzo.A generalized sidelobe canceller employing two-dimensional frequency invariant filters[J].IEEE Trans Antennas Propag,2005,53(7):2339-2343.
[10] R P Gooch,J J Shynk.Wideband adaptive array processing using pole-zero digital filters[J].IEEE Trans Antennas Propag,1986,34(3):355-367.
[11] C N Adkins,J J Turtora.A broadband beam former with pole-zero unconstrained jammer rejection in linear arrays[J].IEEE Trans Signal Process,1996,44(2):438-441.
[12] M Ghavami,R Kohno.Recursive fan filters for a broadband partially adaptive antenna [J].IEEE Trans Commun,2000,48( 2):185-188.
[13] H Duan,B P Ng,C M See.A new broadband beamformer using IIR filters[J].IEEE Signal Process.Lett,2005,12(11):776-779.
[14] H Duan,B P Ng,C M S See,J Fang.Broadband beamforming using TDL-form IIR filters[J].IEEE Transaction on Signal Processing,2007,55(3):990-1003.
[15] Saeid R Seydnejad,Reza Ebrahimi.Broadband beamforming using Laguerre filters[J].Signal Processing,2012,92(1):1093-1100.