Extended 2q-MUSIC algorithm for noncircular signals

The NC-2q-MUSIC algorithm proposed in this paper is an extension of the 2q-MUSIC algorithm to the case of noncircular signals which are widely used in communication systems. 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), which, called NC-2q-MUSIC/ULA algorithm, needs much less computation, is also proposed. Due to the utilization of noncircular information of signals, the root mean square error (RMSE) performance of NC-2q-MUSIC algorithm is better than 2q-MUSIC algorithm for noncircular signals. And the NC-2q-MUSIC algorithm can handle more signals than 2q-MUSIC algorithm. It is proved that the robustness to modeling errors of NC-2q-MUSIC algorithm increases with q. Simulation results validate the better performance of NC-2q-MUSIC over 2q-MUSIC.