Abstract-In this paper we study two fourth-order cumulantbased techniques for the estimation of the mixing matrix in underdetermined independent component analysis. The first method is based on a simultaneous matrix diagonalization. The second is based on a simultaneous off-diagonalization. The number of sources that can be allowed is roughly quadratic in the number of observations. For both methods, explicit expressions for the maximum number of sources are given. Simulations illustrate the performance of the techniques. Index Terms-Cumulant, higher order statistics, higher order tensor, independent component analysis (ICA), parallel factor analysis, simultaneous diagonalization, underdetermined mixture.
In non-EEG settings, it was shown that FOOBI can identify a number of sources that are roughly quadratic in the number of sensors REF .
Fourth-Order Cumulant-Based Blind Identification of Underdetermined Mixtures
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Mathematics Computer Science