一种采用盖尔圆半径修正特征值的信息论判源方法  

An Information Criterion for Source Number Detection with the Eigenvalues Modified by Gerschgorin Radii

作　　者：张群飞[1] 马娟[1] 刘晓涛[1] 冉茂华[1] 

机构地区：[1]西北工业大学航海学院,陕西西安710072

出　　处：《西北工业大学学报》2008年第6期678-683,共6页Journal of Northwestern Polytechnical University

摘　　要：结合盖尔圆定理与信息论准则提出了一种新的信息论判源准则(MAIC)。对信号采样协方差矩阵进行盖尔圆变换,利用信号协方差矩阵的特征值与对应的盖尔圆半径在区分信号和噪声方面的一致性,用盖尔圆半径修正特征值,并将修正后的特征值及新的罚函数应用于信息论方法得到MAIC判源准则。理论分析表明,由MAIC方法估计得到的目标数目接近真实数目的一致估计,克服了AIC方法在高信噪比下容易出现高估的问题。计算机仿真和湖上试验数据处理结果表明MAIC是一种在高、低信噪比下都能取得良好检测效果的稳健的多目标检测算法。A new method for detecting the source number is proposed based on Gerschgorin disk theorem and information criterion. With this method, we first take a Gerschgorin transform to the covariance matrix of data samples. Then according to the fact that both the eigenvalues and the Gerschgorin radii have valuable information in distinguishing signal and noise, new eigenvalues modified by the Gerschgorin radii are introduced to Akaike information criterion （AIC） with a new penalty function. Theoretical analysis indicates that the number estimation acquired by the modified AIC （MAIC） method is almost consistent estimation of the number of targets. The MAIC method overcomes the drawback of AIC in inconsistent estimation for target number. Computer simulations and lake experimental results show that the MAIC method is a robust multi-target detection algorithm with good performance either under low SNR or high SNR.

关 键 词：多目标检测 盖尔圆半径 信息论准则 

分 类 号：TN911.7[电子电信—通信与信息系统]