基于特征向量的多谱线自旋回波串信号参数估计

摘要

针对存在加性高斯白噪声多参数变量的多谱线自旋回波串（Spin Echo Train ，SET ）信号参数估计问题，提出基于特征向量的2-D参数估计方法。将SET信号构造成2-D数据矩阵，按照不同的方式构造Hankel块矩阵束，利用子空间转移不变结构解得特征向量，依据特征向量的结构规律获得衰减因子和频率，基于最小二乘方法进一步获得信号幅度估计。该方法具有自动配对的能力，在相对高信噪比以及频率可分辨的情况下能够实现参数的有效估计，且计算复杂度较低。仿真数据结果证明了算法的有效性。%In allusion to multi-parameter estimation of multi-spectrum spin echo train (SET) signal in the presence of addi-tive white Gaussian noise ,a two-dimensional (2-D ) parameter estimation method based on eigenvector is proposed .Using SET sig-nal to construct a 2-D data matrix ,and according to the different manner to form Hankel block matrix pencil ,the eigenvector is re-solved by utilizing the shift-invariance structure of the signal subspace ,and then ,the damping factor and frequency are estimated ac-cording to the structure rule of the eigenvector .The complex amplitude of SET is then obtained on the basis of standard least squares .The method has the capability of auto association .Under relatively large signal-to-noise ratio (SNR ) and available frequen-cy resolution conditions ,it can estimate the parameters effectively ,and has an attractive computation complexity .Simulation results show the effectiveness of the proposed algorithm .