Dt. Pham, BLIND SEPARATION OF INSTANTANEOUS MIXTURE OF SOURCES VIA AN INDEPENDENT COMPONENT ANALYSIS, IEEE transactions on signal processing, 44(11), 1996, pp. 2768-2779
In this paper, we introduce a procedure for separating a multivariate
distribution into nearly independent components based on minimizing a
criterion defined in terms of the Kullback-Leibner distance. By replac
ing the unknown density with a kernel estimate, we derive useful forms
of this criterion when only a sample from that distribution is availa
ble. We also compute the gradient and Hessian of our criteria for use
in an iterative minimization. Setting this gradient to zero yields a s
et of separating functions similar to the ones considered in the sourc
e separation problem except that here, these functions are adapted to
the observed data. Finally, some simulations are given, illustrating t
he good performance of the method.