A general approach introducing priors on the correlation function or equivalently power spectrum of the sources in the Blind Source Separation problem is presented. This prior modifies or constrains the contrast function that measures the independence of the recovered signals depending on its characteristics. Considering the case where the priors correspond to the sources that we are interested...

Abstract. We consider the Blind Source Separation problem of linear mixtures with singular matrices and show that it can be solved if the sources are sufficiently sparse. More generally, we consider the problem of identifying the source matrix S ∈ IR if a linear mixture X = AS is known only, where A ∈ IR, m 6 n and the rank of A is less than m. A sufficient condition for solving this problem is...

ICA (Independent Component Analysis) can estimate unknown source signals from their mixtures under the assumption that the source signals are statistically independent. However, in a real environment, the separation performance is often deteriorated because the number of the source signals is different from that of the sensors. In this paper, we propose an estimation method for the number of th...

The problem of separation of audio sources recorded in a real world situation is well established in modern literature. A method to solve this problem is Blind Source Separation (BSS) using Independent Component Analysis (ICA). The recording environment is usually modeled as convolutive. Previous research on ICA of instantaneous mixtures provided solid background for the separation of convolved...

An important aspect of successfully analyzing data with blind source separation is to know the indeterminacies of the problem, that is how the separating model is related to the original mixing model. If linear independent component analysis (ICA) is used, it is well known that the mixing matrix can be found in principle, but for more general settings not many results exist. In this work, only ...

This paper describes our methods for repairing and restoring images of hidden paintings (paintings that have been painted over and are now covered by a new surface painting) that have been obtained via noninvasive X-ray fluorescence imaging of their canvases. This recently developed imaging technique measures the concentrations of various chemical elements at each two-dimensional spatial locati...