A criterion for deriving the sub/super gaussianity of source signals from their mixtures

In this paper, we consider the situation when two linear instantaneous mixtures of two independent source signals are available. We aim at determining whether the source signals are sub- or super-Gaussian, using only their observed mixtures. To this end, we propose a criterion based on the roots of a specific polynomial, whose coefficients depend on the estimated cross-cumulants of the observed signals. The effectiveness of this approach is demonstrated by means of experimental tests.