An analog-signal to square-wave-signal reshaping system for threshold-dependent reshaping of an analog input signal to a square wave signal; comprising an offset-inflicted reshaping circuit having a signal input adapted to be fed with the analog input signal, a reference input adapted to be fed with a reference voltage determining the reshaping threshold, and a signal output from which the square wave signal is available; an offset storage circuit connected to the signal input of the reshaping circuit and adapted to store a charging voltage corresponding to the offset voltage of the reshaping circuit, with this charging voltage being adapted to be superimposed on the analog input signal for offset compensation; a controllable switch circuit which in a first switching state takes no influence on the reshaping function of the reshaping circuit and, for the purpose of offset compensation, in a second switching state interrupts the reshaping operation of reshaping circuit and effects charging of the offset storage circuit to the charging voltage corresponding to the respective offset voltage; a detector circuit by means of which a detection signal can be generated at least approximately at those times at which the analog input signal passes a predetermined detection threshold; a delay circuit by means of which the detection signal can be delayed by a predetermined delay period; and a switch control circuit, by means of which, upon occurrence of the delayed detection signal, the switch circuit can be driven to the second switching state for a predetermined window time duration; with the window time duration lying between the adjacent edges of the square wave signal.