基于特征子空间投影的信源数估计方法  

Estimation of the number of signals based on characteristic subspace projection

作　　者：司伟建[1] 林晴晴[1] 

机构地区：[1]哈尔滨工程大学信息与通信工程学院,黑龙江哈尔滨150001

出　　处：《系统工程与电子技术》2012年第7期1318-1322,共5页Systems Engineering and Electronics

基　　金：中央高校基本科研业务费专项资金(HEUCF120802);黑龙江省教育厅科学技术研究项目(11544025)资助课题

摘　　要：为了适应实际测向系统的环境,针对常规信源数估计方法在色噪声背景下估计性能变差的问题,提出了基于特征子空间投影的信源数估计方法。首先对特征向量分组,获得只含有噪声部分和既含有噪声又含有信号部分的特征子空间。阵列的导向矢量阵与噪声子空间正交,而与信号子空间张成的是同一个空间。根据这个原理,将协方差矩阵在不同特征子空间上进行投影,得到存在差异的投影数据。最后对投影数据进行求方差处理,得到投影方差,将其作为信源数估计的依据,进而实现信源数估计。仿真实验和实测数据测试表明了该算法的正确性和有效性。In order to adapt to the actual direction finding system, aiming at the problem that the estimation of performance reveals a change for the worse when using the conventional method of estimating the number of signals in colored noise field, a new approach based on characteristic subspaces projection is proposed. First, grouping the eigenvectors, the eigen-subspaces which only contain noise subspace and the other contain both noise and signal subspace are received. The array manifold matrix is orthogonal to the noise subspaces of the co- variance matrix, and it has the same expanded space with the signal subspaces. According to this principle, the covariance matrix is projected on the eigen-subspaces, so projection data are received. Finally, the variance of the projection data is calculated, then the projection variance is received and is regarded as the evidence for sig- nals number estimation, and the number of signals is estimated. Computer simulation and measured data test show the correctness and effectiveness of the algorithm.

关 键 词：信源数估计 空间投影 色噪声 方差 

分 类 号：TN911.7[电子电信—通信与信息系统]