Conjugate ESPRIT (C-SPRIT)

This paper presents an algorithm to estimate the direction of the arrival angles (DOA)from noncoherent signals. The proposed algorithm can provide a more precise DOA estimation and can detect more signals than well known MUSIC (R.O. Schmidt, 1986) and ESPRIT (R. Roy, et al., 1989). The complexity is the same as that of ESPRIT since the proposed algorithm uses the same array geometry and subarray processing as ESPRIT does. The main differences between the proposed and ESPRIT algorithms are as follows: (1) the number of the overlapping array elements between two subarrays is equal to M in the proposed algorithm while the maximum number of overlapping elements in ESPRIT is M-l, where M denotes the total number of array elements, and (2) the proposed algorithm employs the conjugate of rotation matrix (CRM) Φ* while ESPRIT uses Φ for the second subarray geometry. Hence, we name the proposed algorithm C-SPRIT. Through analysis, we will justify how we can apply the same ESPRIT processing for our C-SPRIT, and, through simulation results, we will show that our C-SPRIT can perform with a higher resolution than MUSIC (R.O. Schmidt, 1986) and ESPRIT (R. Roy, et al., 1989) for a single dimensional DOA estimation, when the number of sources K is equal to or less than M.