Abstract. Inversion formulas have been found, converting between Stirling, tanh and Lah numbers. Tanh and Lah polynomials, analogous to the Stirling polynomials, have been defined and their basic properties established. New identities for Stirling and tangent numbers and polynomials have been derived from the general inverse relations. In the second part of the paper, it has been shown that if ...

This paper addresses the blind separation of convolutive mixtures of independent and non-Gaussian sources. We present a block-based Gauss-Newton algorithm which is able to obtain a separation solution using only a specific set of output cross-cumulants and the hypothesis of soft mixtures. The order of the cross-cumulants is chosen to obtain a particular form of the Jacobian matrix that ensures ...

In this paper, we introduce a new blind fractionally spaced equalizer based on the fourth-order statistics of the input symbol sequence. The input symbol sequence is assumed to come from an independent identically distributed finite alphabet with nonzero fourth-order cumulants. We formulate the equalizer as a column vector and compute it by simultaneously diagonalizing a set of matrices obtaine...