组合圆周阵宽带恒定束宽波束形成研究
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摘要
为解决组合圆周阵恒定束宽波束形成问题,本文建立组合圆周阵接收信号模型,将阵列响应向量表示为贝塞尔函数的级数之和,截断高阶项,利用将各频率点上的波束图与参考波束图一致的思想,得到恒定束宽波束图,并讨论改变阵列参数对波束图的影响。计算机仿真实例表明该方法可有效运用到组合圆周阵恒定束宽波束形成问题中。本文研究具有实际应用价值。
To figure out the broadband constant beamwidth beamforming of combinatorial circumferential array,this paper establishes the signal receiving modal of the combinatorial circumferential array,the response vector is expanded in the form of sum of an infinite series that the core function is the first kind Bessel function,the high terms are truncated,besides,using the idea of making the beam at different frequency components the same as the reference beam,thus,a constant beamwidth beam is obtained,and the influence on the beam pattern while changing the array parameter is discussed. Computer simulation indicates that this method can be effectively used to solve the broadband constant beamwidth beamforming of combinatorial circumferential array problem. The study in this paper has practical value.
To figure out the broadband constant beamwidth beamforming of combinatorial circumferential array,this paper establishes the signal receiving modal of the combinatorial circumferential array,the response vector is expanded in the form of sum of an infinite series that the core function is the first kind Bessel function,the high terms are truncated,besides,using the idea of making the beam at different frequency components the same as the reference beam,thus,a constant beamwidth beam is obtained,and the influence on the beam pattern while changing the array parameter is discussed. Computer simulation indicates that this method can be effectively used to solve the broadband constant beamwidth beamforming of combinatorial circumferential array problem. The study in this paper has practical value.
引文
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[2]DORON E,DORON M A.Coherent wideband array processing[J].In Proc.IEEE Int.Conf.Acoust.,Speech,Signal Processing,1992(2):497-500.
[3]鄢社锋,马晓川.宽带波束形成器的设计与实现[J].声学学报,2008,33(4):316-326.YAN She-feng,MA Xiao-chuan.Designs and implementations of broadband beamformers[J].Acta Acustica,2008,33(4):316-326.
[4]WU R,MA Y,JMA R D.Array pattem synthesis and robust beamforming for a complex sonar system[J].IEE Proeeedings-Radar,Sonar,and Navigation,1997,144(6):370-376.
[5]LOBO M,VANDENBERGHE L,BOYD S,et al.Applications of second-order cone programming[J].Linear Algebra Application,1998,284(1-3):193-228.
[6]WARD D B,KENNEY R A,WILLIAMSON R C.Theory and design of broadband sensor arrays with frequency invariant far-field beam patterns[J].J.Acoust.Soc.Amer,1995,97(2):1023-1034.