A Novel Genetic Approach to DOA Estimation of Coherent Sources Based on Weighted Spatial Smoothing and Toeplitz Matrix Fitting
Bu Wang · Dianzi xuebao · 2003
The optimal weighted spatial smoothing(WSS)technique proposed in[1]is capable of de correlating the coherent sources perfectly,with the equivalent sources covariance matrix diagonal.Based on the fact that the optimal weight matrix in[1]is a function matrix of source directions and the array covariance matrix after optimal WSS is Toeplitz,a new cost function is constructed.The bearing estimates can then be achieved by virtue of a genetic algorithm based Toeplitz matrix fitting.Compared with[1],the proposed algorithm can be realized without the a priori knowledge about source directions and de noising preprocessing.The Monte Carlo simulation results demonstrate that the new algorithm is highly superior to the conventional SS(spatial smoothing)technique in the resolving ability for spatially closed coherent sources,especially in the case of small array size.Besides,the comparison of new methods with maximum likelihood methods is also presented.