Simultaneous estimation of mutual coupling matrix and DOA for Y-shaped array

A computationally efficient algorithm(SAY,self-calibration algorithm for Y-shaped array) was herein proposed for the direction of arrival estimation(DOA) of uncorrelated sources and for self-calibration of mutual couplings among sensors,with every sensor uniformly spaced.Calibration sources at known locations were not required.Based on the banded symmetric Toeplitz matrix model for the mutual couplings of uniform linear array(ULA),the proposed algorithm provided a favorable DOA and mutual coupling matrix(MCM) without the knowledge of the sensor mutual couplings.In addition,the parameter identifiably condition was also provided.Simulation results illustrate that the new algorithm possesses high resolution,low computational complexity and better accuracy of self-calibration.