Abstract:

Based on the joint approximative diagonalization of eigen matrix, a novel algorithm which includes three steps is proposed to estimate the direction-of-arrival (DOA) of mixed signals and the mutual coupling coefficient of the uniform linear array (ULA) in presence of the mutual coupling error. Utilizing the Toeplitz structure of the mutual coupling matrix, the coarse estimates of the DOAs of the uncorrelated signals among  the mixed signals and mutual coupling coefficients are firstly obtained. Then the DOA estimates of the mixed signals are obtained based on the combination of the oblique projection with forward and backward spatial smoothing methods. Finally, a non-subspace method for mutual coupling self-calibration is presented by utilizing the estimates of the generalized spatial feature matrix and the estimated mixed signal DOAs. The computer simulation results indicate that the proposed algorithm has much better performance in DOAs and mutual coupling coefficient estimation and the successful rate compared with the similar algorithm, and it is also universal for Gaussian background noises.