应用通用特征基函数求解目标宽带雷达散射截面  

Solutions of wide-band RCS of objects using general characteristic basis functions

作　　者：王仲根[1,2] 孙玉发[1] 王国华[1] 杨明[1] 

机构地区：[1]安徽大学计算智能与信号处理教育部重点实验室,安徽合肥230039 [2]安徽理工大学电气与信息工程学院,安徽淮南232001

出　　处：《电波科学学报》2015年第1期91-96,共6页Chinese Journal of Radio Science

基　　金：国家自然科学基金(No.61172020;No.61401003);高等学校博士学科点专项科研基金(No.20123401110006);安徽大学"211工程"项目;安徽大学研究生学术创新基金(No.10117700470)

摘　　要：基于特征基函数法提出了一种分析目标宽带电磁散射特性的快速有效数值方法.该方法在期望频段内,求出最高频率点的主要特征基函数和次要特征基函数并进行奇异值分解,生成通用特征基函数,该通用特征基函数能够在整个频段内重复运用,从而快速获得期望频段的目标电磁散射特性.应用自适应交叉近似算法加速阻抗矩阵元素的计算,提高次要特征基函数和缩减矩阵构建过程中的矩阵矢量相乘速度.与传统方法相比,计算精度和计算效率都得到了大大提高,数值结果证明了所提方法的精确性和有效性.A fast and efficient numerical approach is proposed to analyze the wide-band electromagnetic scattering characteristics based on the characteristic basis function method(CBFM).The general characteristic basis functions(GCBFs)are derived from the primary characteristic basis functions(PCBFs)and the secondary level characteristic basis functions(SCBFs)by applying a singular value decomposition(SVD)procedure at the highest frequency point.These GCBFs can be reused for each frequency,so the electromagnetic scattering problem on the desired frequency band can be solved fast.Finally the adaptive cross approximation(ACA)algorithm is applied to accelerate the impedance matrix element computation as well as matrix vector multiplication in the construction process of the SCBFs and the reduced matrix.The accuracy and efficiency are improved significantly compared with the traditional method.Numerical results demon-strate that the proposed method is accurate and efficient.

关 键 词：特征基函数法 宽带雷达散射截面 通用特征基函数 自适应交叉近似 

分 类 号：TN951[电子电信—信号与信息处理]