HOS-based multi-component frequency estimation

We are considering a problem of carrier frequencies recovery for the linear mixtures of two BPSK signals in Gaussian noise. The goal is to simplify further signal analysis: signal separation, modulation identification and parameters estimation. The presented method is based on multidimensional (time-frequency-phase) representation of the Higher Order Statistics (HOS) of the received signal distribution. Performance of the proposed algorithm is verified through extensive simulations and compared to the MUSIC high-resolution spectral estimation method. Corresponding results show that our technique outperforms the latter for all considered frequency shifts, even for high signal-to-noise ratios (SNR).