The aim of the invention is to do away with measurement errors, referred to as offset voltage errors, in inductive sensors, by modifying the architecture of the assembly of the elements (100) used for signal processing. To this end, the architecture of the apparatuses that process the signal from the secondary windings (1'a, 1'b) is modified as follows: the amplifiers (38a, 38c) of said sensor are placed between the low-pass filters (36a to 36d) and the output terminals (31, 32) of the sensor; the voltages from the two secondary windings (1'a and 1'b) pass into an RC filter including a resistor (30a, 30c) and a capacitor (32a, 32c); the voltage from each of the secondary windings (1'a and 1'b) passes into two multiplexers (34a, 34b, or 34c, 34d), one of which only allows the positive half-cycle to pass therethrough, the other of which is wired so as to allow only the negative half-cycle to pass therethrough, wherein the unused outputs of said multiplexers (34a, 34b, or 34c, 34d) are connected to the common point (33) between the secondary windings (1a, 1c); and low-pass filters (36a to 36d) are placed between each of the multiplexers (34a, 34b, or 34c, 34d) and the amplifiers (38a, 38c).