Parafac-based blind channel identification using 4th-order cumulants

Strong relationships between joint- diagonalization and tensor decompositions have been established recently. In this paper we propose a finite impulse response (FIR) channel identification method based on the Parafac decomposition of a 3rd-order tensor composed of the 4-th order output cumulants. By avoiding the prewhitening operation required by joint-diagonalization based methods, our method is shown to improve the estimation performance provided by the classic joint-diagonalization algorithm.