圆形阵列天线方向图的分布函数优化方法  

Research of Density Function Optimization Method for Circular Array Patterns

作　　者：赵万春[1] 师君[2] 

机构地区：[1]中国人民解放军驻157厂军事代表室,四川彭州611930 [2]电子科技大学电子工程学院,成都610054

出　　处：《电讯技术》2010年第7期91-96,共6页Telecommunication Engineering

摘　　要：以离散有限长复指数和的计算为基础,讨论了二维阵列的方向图问题。通过引入分布函数的概念,可知离散有限长复指数和为其分布函数离散傅里叶变换在1点的值。基于此结论,分析了二维阵天线阵元分布于天线方向图之间的关系:二维阵列任意方向的方向图为其在该方向分布函数的离散傅里叶变换,该分布函数可通过统计其投影在该方向的临近区域处阵元数目获得。然后,通过对混合圆形阵列天线方向图的分析,验证了该关系的正确性,并说明了上述关系在分析阵列方向图的应用。在此基础上,进一步分析了阵元权重系数对方向的影响,发现该方法与通过改变阵列天线阵元分布的方法等效。最后,提出了基于分布函数的圆形阵列方向图优化方法,并通过仿真实验验证了该方法的可行性。该方法可通过改变圆形阵列阵元沿径向的权重系数使得其对应的任意方向的方向图与期望的窗函数近似。This paper discusses the radiation pattern of 2 - D circular array according to the calculation of exponential sum of finite discrete-time function. By introducing the density function, it is demonstrated that the value of an exponential sum of finite discrete-time function is equal to that of the discrete Fourier transform of its den- sity function at point 1. Based on this conclusion, an approach to analyse the radiation pattern of 2 - D array us- ing density function is presented, and it is shown that the directional radiation pattern of a 2 - D array is the Fourier transform of its density function in the corresponding direction. Then the radiation patterns of hybrid 2 - D circular arrays are discussed to demonstrate the validity and application of this approach. Then, the effect of positive weight coefficient on the radiation pattern is discussed, and it is found that the effect of positive weight coefficient is equivalence to the distribution of elements. Finally, a weigh optimization method for circular array is presented, which ensures the optimized PSF similar to the Fourier transform of the desired window function approximately by adjusting the weight coefficients.

关 键 词：圆形阵列 天线方向图 分布函数 权系数优化 

分 类 号：TN95[电子电信—信号与信息处理]