Blind separation of BPSK signals using Newton´s method on the Stiefel manifold

We propose a new approach to solving the problem of blind separation of BPSK signals. Using the constant modulus property of the signal, we formulate this problem as a constrained minimization problem that can be solved efficiently using an extended Newton´s method on the Stiefel manifold. Compared with the existing separation methods, the proposed method is quite robust to additive noise, achieves a low bit error rate, and enjoys a quadratic convergence rate and a low computational complexity. Simulation results show that our method is a competitive blind separation method.