Abstract: System for generating a secondary signal (y.sub.s (k)) for suppression of a primary signal (y.sub.p (k)), having:means (8) for generating a reference signal (.phi.(k)):a control unit (1) having a digital filter for providing a cancellation control signal (s(k));cancellation-generating means (2) for generating a secondary signal (y.sub.s (k));sensor means (4) for providing an error signal (.epsilon.(k)),update means (5) for providing an update signal (up(k));an adaptation unit (7) for supplying a filtered-x signal (r(k)) to the update means (5);means for updating filter coefficients (.theta..sub.c,v (k)) of the filter in the control unit (1) with the aid of the so-called "projection algorithm" andthe various features being such that an input correlation matrix defined according to equation 17 has an eigenvalue distribution which has a value which is at least substantially identical to 1 after as few steps as possible.