Abstract: Estimating signal parameters via rotational invariance techniques (ESPRIT) is a typical spatial spectrum estimation algorithm, but an array of mutual coupling can seriously affect the the performance of direction finding of ESPRIT algorithm. The mutual coupling matrix of uniform linear arrays is modeled with a symmetric Toeplitz matrix. According to the freedom of mutual coupling matrix, part of the array elements at the two sides is neglected. DOA is estimated by using ESPRIT algorithm with the remained ones. The algorithm calculates the mutual coupling coefficient matrix with estimated DOA and redundant array elements. A single calibration source is needed in the algorithm. In the end, computer simulations demonstrate the effectiveness of the proposed method and study the performance of algorithm under both amplitude error and phase error existing.