In an adaptive filter a plurality of outputs (5, 7, 9, 11) of a delay circuit (3) are coupled via coefficient control circuits (21, 23, 25, 27) to a plurality of inputs (91, 93, 95, 97) of an adder circuit (89). The control signal inputs (29, 31, 33, 35) of the coefficient control circuits each receive a control signal via first integrators (37, 39, 41, 43) from first multiplier circuits (53, 55, 57, 59). A further output (85) of the delay circuit (3) controls a further input (87) of the adder circuit (89). The output signal from the adder circuit is controlled by a control circuit (121) which receives a control signal from a second multiplier circuit (103) via a second integrator (109) and a circuit having an exponential transfer function (113). A convergence behavior of the adaptive filter which is virtually independent of signal amplitudes is obtained by driving the integrators in such a way that the amplitude of their input signals are substantially independent of the amplitude of the signal at the input (1) of the filter (FIG. 1).