values x k the conventional lms adaptive channel equalizer processes the arriving signal z k to compensate for the time variable frequency response of the channel but does not compensate for the channel additive noise v k the impulse response of the channel equalizer at the time k is represented by the vector equ2 the vector c k is an estimate of the inverse channel impulse response the values c 1 k c n k may be viewed as the filter coefficients of an adaptive digital filter comprising the channel equalizer 18 the conventional adaptive channel equalizer utilizes the following lms algorithm to estimate c k 1 where z k is a received signal vector made up of the current and previous n 1 received signal values i e equ3 normally the values x k are not available to the channel equalizer which executes the algorithm of eq 3 to the contrary in normal operation it is the role of the channel equalizer to provide as an output the values x k based on the received signal values z k during a training period the vector c k is set up using known training x k 39 s after the channel equalizer converges to.