Optimal combination of fourth-order cumulant based contrasts for blind separation of noncircular signals

In this paper, we have considered the problem of blind source separation of noncircular signals. We have proposed a new Jacobi-like algorithm that achieves optimization of the optimal combination of complex fourth-order cumulant based contrasts. We have investigated the application to separation of non-Gaussian sources using fourth order cumulants. And computer simulations applied to noncircular signals illustrate the proposed approach.

► We provide a generalized contrast exploiting all the statistics within cumulants.
► We provide, in the 2-source case, an original combination of contrasts.
► This optimal combination is obtained through the minimization of the asymptotical MSE.
► We provide an adapted Jacobi-like algorithm in the context of noncircular sources.