Blind multichannel identification in the stationary colored noise case

We investigate a new approach to identify a multichannel blindly when the additive noise is no longer considered as white but only stationary, We consider the case when the multiple FIR channels are obtained from an array of n antennas and from oversampling the received signal with a factor m. In this case the covariance matrix of the stationary noise is block Toeplitz with n x n blocks, whereas the covariance matrices of the signal part and the total received signal are block Toeplitz with mn X mn blocks, In this paper, we shall mainly concentrate on a subspace method based on an appropriate displacement of the covariance matrix in which the noise contribution disappears. The technique developed-appears to give acceptable performance for the channel estimate, compared to the Cramer-Rao bound. Furthermore, since the proposed method is based on a parameterization in terms of the channel impulse reponse, prior knowledge of the transmission filter can easily be incorporated [4]. The method mentioned previously can be extended to exploit this knowledge and hence its performance can be improved. Simulations are presented to illustrate the performance of the method.