Toeplitz Cyclic-MUSIC Algorithms for DOA Estimation of the SOCS Correlated Signals

This letter addresses the problem of direction-of-arrival (DOA) estimation for cyclostationary signal when the second-order cyclic statistics (SOCS) of signals are correlated. We first present a Toeplitz Cyclic-MUSIC algorithm for multichannels receiver by exploiting signal cyclostationarity. Based on cyclic autocorrelation of the received signal, a new pesudocyclic covriance matrix, which is Toeplitz, is constructed. The rank of Toeplitz matrix is equal to the number of signals even if the SOCS of signals are correlated. So the MUSIC algorithm can be used to estimate the DOAs of sources. Moreover, a single channel Toeplitz Cyclic-MUSIC algorithm for the the single-channel receiver is proposed to avoid the affect of channel inconsistency. The effectiveness of the proposed algorithms is verified by computer simulation, and the performance of the proposed algorithms is compared with the existing algorithms correspondingly.