色高斯噪声背景下相干信源DOA估计

为在色高斯噪声背景下估计相干信源DOA,提出一种基于四阶累积量的相干信源DOA估计算法。对各个阵元接收数据与参考阵元接收数据的四阶累积量进行排列,构造Toeplitz矩阵,该矩阵的秩仅等于信号个数,而与信号间的相干性无关。通过特征值分解得到信号子空间和噪声子空间,从而实现相干信源DOA估计。仿真实验结果表明,在色高斯噪声背景下,此算法能有效地估计出相干信源的DOA,并且相对于空间平滑算法具有更好的估计性能。

DOA estimation of coherent signals in color Gaussian noise

To achieve the DOA（Direction of Arrival） estimation of coherent signals in color Gaussian noise, a new DOA estimation algorithm of coherent signals based on forth-order cumulant is proposed. A Hermitian Toeplitz matrix is firstly constructed through arranging the received data forth-order eumulants of each array element and reference array element. It is proved that the rank of the matrix is equal to the number of signals, and is independent of the coherency of the signals. Then through EVD（eigenvalue decomposition） of the ma- trix,the signal subspaee and noise subspace can be arrived to realize the estimation of the DOAs of coherent signals. The simulation results illustrate that the DOAs of coherent signals can be estimated efficiently in color Gaussian noise. And comparing to the spatial smoothing algorithm,the proposed algorithm provides better es- timation performance.