Abstract: A recursive digital filter includes a first circuit 1 including a cascade arrangement of a magnitude truncation quantizing arrangement and an adder 6, 8. The first circuit has an output 5, and also inputs 3 and 4, output 5 being connected to the input 3 via a second circuit 10 and to the input 4 via a third circuit 11. Both last-mentioned circuits are formed by a cascade arrangement of an auxiliary circuit 12 and 14, respectively, and a multiplier arrangement 13 and 15, respectively. The auxiliary circuit 12 has a transfer function H.sub.1 (z)=p/(z-1) and the auxiliary circuit 14 has a transfer function H.sub.2 (z)=q/(z+1), wherein p and q represent constants.