Abstract: System for the generation of a time variant signal (sec(t)) for suppression of a primary signal (d(t)), provided with a control unit (1) provided with an adaptive digital filter (10, 11) for providing a cancellation control signal (u(t)), cancellation-generating unit (2) for generating a cancellation signal which is propagated along a secondary path with a transfer function and then providing the time variant signal (sec(t)), sensor unit (4) for measuring a residual signal (.epsilon.(t)), update unit (5) provided with a first input for receiving the output signal (y(t)), a second input for receiving the cancellation control signal (u(t)), and a third input for receiving said reference signal (x(t)), wherein the update unit (5) is provided with a prediction filter (8) which is arranged to calculate a predicted value (y.sub.pred (t)) based on the signals actually received on the first, second, and third inputs such that said predicted value (y.sub.