ICA of complex valued signals: a fast and robust deflationary algorithm

Abstract

Separation of complex valued signals is a frequently arising problem in signal processing. In this article it is assumed that the original, complex valued source signals are mutually statistically independent, and the problem is solved by the independent component analysis (ICA) model. ICA is a statistical method for transforming an observed multidimensional random vector into components that are mutually as independent as possible. In this article, a fast fixed-point type algorithm that is capable of separating complex valued, linearly mixed source signals is presented and its computational efficiency is shown by simulations. We also present a theorem on the local consistency of the estimator given by the algorithm.