Based on L-shaped linear array, this paper presents a fast method for the two-dimensional(2D)Direction-OfArrival(DOA)estimation of Coherently Distributed(CD)source. The presented method obtains two rotational invariance matrixes about the central DOAs of CD sources by one order Taylor approximation to the generalized steering vectors of two pairs of shifted subarrays. The central DOAs of 2D CD sources are estimated using a new propagator method to solve the rotational invariance matrixes. The method avoids ...