On cyclic correlation approaches for blind identification of FIR communication channels

In this contribution we address the problem of the blind identification of a non-minimum phase FIR communication channel by exploiting the cyclostationarity of the received signal sampled at rate greater of the symbol rate. By explicitely taking into account the (known) color of additive noise, we extend the approach presented in [1] based on second-order cyclic correlations. Moreover, we propose the ase of higher-order cyclic correlations to overcome the lack of channel identifiability when second-order only cyclic correlations are considered. The resulting nonlinear equations are solved using the same numerical techniques commonly adopted in the classical minimum eigenvalue/eigenvector problem.