Take linear isometry wireless sensor array as example

an efficient direction of arrival detection algorithm is proposed.The correlation matrices of two shifting invariant sub-array are column stacked

then a twostep algorithm combining singular value decomposition and eigenvalue decomposition is proposed

and steering vector matrix is estimated

by analysis of the structured information of steering vector matrix

correlation function of estimated and ideal steering vector is constructed

then arrest points of correlation function are solved

direction of arrival can be given by searching the limited arrest points which correspond the maximum of the correlation function

which avoid exhaustive search.Simulation results show that the probability of resolution successful rate of proposed algorithm is higher than the ESPRIT in the same SNR

meanwhile it needs lower SNR in the same resolution successful rate.Root mean square error of target localization with the change of signal to noise ratio

snapshots number and array element better than ESPRIT algorithm

and is more closer to theoretical optimal value.