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To estimate the direction-of-arrival (DOA) of wideband coherent signals, a new method by modifying the orthogonality of the projected subspaces method is proposed. And it can deal with randomly position perturbed arrays by using the Toeplitz method. This method needn't the primary information of DOA for focusing matrix and the sector dividing of interpolated method, which improving the precision of estimation and reducing the computational complexity. Simulations illustrate the effectiveness of this method.