A method and a system for echo cancellation. The method includes receiving incoming downlink signal sample, performing Kalman filter time update of linear filter, constructing data matrix for linear filter adaptation, performing Kalman filter measurements update on linear filter, performing Kalman filter time update on non-linear filter, constructing data matrix for non-linear filter adaptation, performing Kalman filter measurements update on non-linear filter, generating echo using adapted linear and non-linear filters, subtracting the echo from microphone signal to generate echo free uplink signal, and uplinking the echo free signal to the far-end.