A measurement method using an inductive displacement sensor that includes a transformer and a magnetic core, the transformer comprising a primary winding and two secondary windings (4, 5), the measurement method including: - an excitation phase comprising the step of applying an AC excitation voltage (Ve) across the terminals of the primary winding; - an acquisition phase comprising the steps that have the aim of acquiring and digitizing two measurement voltages (Va, Vb) across the terminals of the two secondary windings; - a first main processing phase, which is performed on the two measurement voltages and which, for each measurement voltage, comprises the steps of: - multiplying the measurement voltage by a reference sine wave and by a reference cosine wave in order to obtain two resulting signals (SRa1n, SRa2n); - carrying out a first integration of each resulting signal over a sliding window that has a width equal to the excitation period in order to obtain two integrated signals (SIa1n, SIa2n); - carrying out a second integration of each integrated signal over a sliding window that has a width equal to half an excitation period in order to obtain two doubly integrated signals (SIIa1n, SIIa2n); - producing an amplitude of the measurement voltage from the doubly integrated signals; - a first final processing phase, which comprises the step of producing an estimate of a position of the magnetic core from the amplitudes of the two measurement voltages. - an excitation phase comprising the step of applying an AC excitation voltage (Ve) across the terminals of the primary winding; - an acquisition phase comprising the steps that have the aim of acquiring and digitizing two measurement voltages (Va, Vb) across the terminals of the two secondary windings; - a first main processing phase, which is performed on the two measurement voltages and which, for each measurement voltage, comprises the steps of: - multiplying the measurement voltage by a reference sine wave and by a reference cosine wave in order to obtain two resulting signals (SRa1n, SRa2n); - carrying out a first integration of each resulting signal over a sliding window that has a width equal to the excitation period in order to obtain two integrated signals (SIa1n, SIa2n); - carrying out a second integration of each integrated signal over a sliding window that has a width equal to half an excitation period in order to obtain two doubly integrated signals (SIIa1n, SIIa2n); - producing an amplitude of the measurement voltage from the doubly integrated signals; - multiplying the measurement voltage by a reference sine wave and by a reference cosine wave in order to obtain two resulting signals (SRa1n, SRa2n); - carrying out a first integration of each resulting signal over a sliding window that has a width equal to the excitation period in order to obtain two integrated signals (SIa1n, SIa2n); - carrying out a second integration of each integrated signal over a sliding window that has a width equal to half an excitation period in order to obtain two doubly integrated signals (SIIa1n, SIIa2n); - producing an amplitude of the measurement voltage from the doubly integrated signals; - a first final processing phase, which comprises the step of producing an estimate of a position of the magnetic core from the amplitudes of the two measurement voltages.