A consideration on the computational requirements of blind equalization using the orthogonal projection

The equalization using the traditional blind estimation is based on the channel outputs and knowledge of the probabilistic property of input signal. But it is difficult for conventional implementation with on-line processing because the traditional algorithms need high-order momentum. We present a new method using the orthogonal projection, in order to enable the on-line processing of blind equalization. First, we estimate the characteristics of the channel using both the skewness and the kurtosis of the output of the channel. Secondly, we will design an equalizer using the orthogonal projection onto the received signal space. The proposed method is based on designing an equalizer parameter so that the matrix P_N,N=W_N,NH_N,N may be the orthogonal projection matrix onto the received signal space, where W _N,N and H_N,N demote the impulse response matrix of an equalizer to be designed and that of the channel respectively. The impulse response matrix of an equalizer is basically expressed with Moore-Penrose inverse matrix. The proposed blind equalization algorithm can be implemented with on-line processing, it is expected that the convergence characteristics of the proposed equaliser are better than that of the traditional device