Noisy Component Extraction (NoiCE)

To achieve efficient blind source extraction (BSE) from noisy mixtures, we propose a noisy component extraction (NoiCE) algorithm that combines standard BSE and a cascaded nonlinear adaptive estimator. There are no assumptions of statistical independence, and also as a byproduct of BSE after deflation, we may also obtain asymptotic identification of the a prioriunknown observation noise sources. By yielding an asymptotically efficient estimator in the presence of an unknown observation noise, the proposed algorithm may also be viewed as a robust approach to NoiCE. Simulations on both synthetic and real-world data confirm the validity of the proposed algorithm in noisy mixing environments.