Abstract: An adaptive transversal filter is characterized by a first adaptive filter for generating a plurality of estimated impulse response coefficients representing an impulse response of a transmission path. An averaging circuit is coupled with the first adaptive filter, and generates a plurality of average estimated impulse response coefficients having values in accordance with the average values over a most recent time interval of associated ones of the estimated impulse response coefficients, and a second adaptive filter receives the average estimated coefficients. The average estimated impulse response coefficients more closely represent and have less variance with respect to the actual impulse response of the transmission path than do the estimated coefficients, and the second filter generates an estimate of an echo signal through a process including convolution of the average estimated coefficients and an input signal.