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.