“…Direction of arrival (DOA) estimation has increasingly become a hot topic in the field of array signal processing since it is continually encountered in many applications, such as radar, wireless communication and automatic driving [ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 ]. In the past half century, numerous subspace-based algorithms [ 10 , 11 ] and sparse reconstruction approaches [ 12 , 13 ] have been proposed to estimate the incident direction of multiple sources.…”