A Normalised Kurtosis Based Blind Source Extraction Algorithm for Noisy Mixtures

We introduce an algorithm for blind source extraction (BSE) of independent sources in the presence of noise, without the need for initial prewhitening, for which the normalised kurtosis is used within the cost function. Unlike the previously proposed methods designed for noise-free mixtures, which is not realistic in practical applications, we address BSE for noisy mixtures and propose a novel cost function which caters for the effects of noise. The proposed method is justified by rigorous analysis and supported by simulations