Convolutive Blind Source Separation for Noisy Mixtures

The problem of separating convolutive mixtures of unknown time series arises in several application domains, a prominent example being the so-called cocktail party problem, where we want to recover the speech signals of multiple speakers who are simultaneously talking in a room. The room may be reverberant due to reflections on the walls, i.e., the original source signals sq(n), q = 1, . . . , P are filtered by a multiple input and multiple output (MIMO) system before they are picked up by the sensors xp (Fig. 1). Moreover, in most environments a noise term np (e.g.,