An adaptive network for blind separation of independent signals

The problem of separating two or several independent signals (or independent speakers) from an array of sensors within the framework of adaptive systems is formulated. The delayed signals are modeled as a dynamic state model. The crucial aspect of this formulation is to quantify the property of independence of signals in terms of an explicit function to be optimized. Then, the derived adaptive dynamics will work to minimize (or maximize) the explicit function. The convergence of this newly derived adaptive scheme is shown. As the dynamics converge, the network will succeed in identifying the mixing and the delays in the original signals, and will reproduce the original independent signals