A Direction Finding Algorithm for Noncircular Signals Based on Higher-Order Cumulants

Noncircular signals (e.g. BPSK signals) are widely used in communication systems. The NC-2q-MUSIC algorithm proposed in this paper is an extension of the 2q-MUSIC algorithm to noncircular applications. The performance of NC- 2q-MUSIC algorithm for noncircular signals is better than 2q- MUSIC algorithm due to the utilization of noncircular information of signals. The resolution and robustness to modeling errors of NC-2q- MUSIC algorithm become better with the increase of the value of q. The computational complexity of the NC-2q- MUSIC algorithm is analyzed in this paper and the NC- 2q- MUSIC algorithm for uniform linear array (ULA) called NC- 2q-MUSIC/ULA which needs much less computation is also proposed. Simulation results show the better performance of NC- 2q-MUSIC algorithm than 2q-MUSIC and validate other conclusions about NC-2q-MUSIC.