Biquaternion cumulant-MUSIC for DOA estimation of noncircular signals

Direction-of-arrival (DOA) estimation for noncircular sources is addressed within the hypercomplex framework utilizing fourth-order (FO) cumulants and a MUSIC-like estimator is proposed. Simulation results show the better performance of the proposed method compared to its complex counterpart in terms of both accuracy and robustness to model errors due to the stronger orthogonality in the biquaternion domain.

► The cumulant matrices are modeled in a hypercomplex framework.
► Biquaternions, instead of separate positions, are used to form a Hermitian matrix.
► The method has better estimation accuracy and robustness without loss of capacity.