Abstract: A method for calibrating a radial acceleration sensor of a wheel of a vehicle including the following steps: acquisition, by the sensor, of signals Si, each signal Si being acquired during a predetermined time window Wi when the vehicle is in motion, the windows Wi being different from one another; detection, for each time window Wi, of local extrema of the signal Si associated respectively with phase values and detection instants; determination, for each time window Wi, of a frequency Fi of the rotation of the wheel of the vehicle as a function of the phase values and of the detection instants for the local extrema detected; low-pass filtering of the signals Si, so as to obtain, for each time window Wi, a filtered value Zi; calibration of a constant error Ec of the radial acceleration sensor as a function of the filtered values Zi and of the frequencies Fi.

Abstract: A method for determining the position of a radial acceleration sensor of a wheel of a motor vehicle, including: acquiring, by the sensor, signals Si which are acquired during a predetermined time window Wi when the vehicle is in motion, the windows Wi being different from one another; detecting, for each time window Wi, local extrema of the signal Si; determining, for each time window Wi, a frequency Fi of the rotation of the wheel of the vehicle as a function of the phase values and of the detection instants for the local extrema detected; filtering of the signals Si, so as to obtain, for each time window Wi, a filtered value Zi; and determining the radial distance Rc between the radial acceleration sensor and the axis of rotation of the wheel.

Abstract: A method for pairing a measurement module with a wheel of a vehicle including, for each angular orientation signal associated with a specific wheel received by a computer, the steps of transmitting, by the computer, a measurement signal or a request to transmit a measurement signal to each module, measuring, by the computer or each module, a value of at least one parameter differentiating the signal, performing repetitions of the transmissions of measurement signals for each angular orientation signal received by the computer and storing values of the parameter, pairing a specific wheel with a measurement module when the values are substantially constant with a variation of less than 10% for the values, each wheel being associated with a module at the end of the method.

Abstract: A method for determining the thickness of a tire of a motor vehicle being equipped with at least a tire pressure monitoring sensor placed in contact with the internal wall of the tire facing the tread, including the following steps: at least two successive reference times are determined; at least one instant of passage of a half-deflection angle is determined; the half-deflection angle is determined; then the value of a mean external radius, which radius is estimated in a range of angular positions, is determined; a value of a mean internal radius, which radius is estimated in a range of angular positions, is determined; then the thickness of the tire being the difference between the mean external radius and the mean internal radius.

Abstract: A method for pairing a measurement module with a wheel of a vehicle including, for each angular orientation signal associated with a specific wheel received by a computer, the steps of transmitting, by the computer, a measurement signal or a request to transmit a measurement signal to each module, measuring, by the computer or each module, a value of at least one parameter differentiating the signal, performing repetitions of the transmissions of measurement signals for each angular orientation signal received by the computer and storing values of the parameter, pairing a specific wheel with a measurement module when the values are substantially constant with a variation of less than 10% for the values, each wheel being associated with a module at the end of the method.

Abstract: A method for determining the instantaneous frequency and phase of a periodic signal includes: acquiring a periodic signal characteristic of the frequency to be determined and a particular point of which is characteristic of a reference of the phase of the signal; identifying, by optimization, a reference sequence in at least one consecutive portion of the signal; determining a temporal evolution of the frequency of the signal by computing a function of the lag between the identification of the reference sequence in at least one consecutive portion of the signal; determining an instant corresponding to a point characteristic of a reference of the phase of the signal in the course of the period of the signal, and deducing therefrom the temporal evolution of the frequency, the instantaneous phase of the signal with respect to the point characteristic of phase reference.

Abstract: A method for estimating the external radius Re of a tire fitted to a wheel of a motor vehicle, the wheel including a radial acceleration sensor. The method includes: acquiring, by the sensor, a signal S when the vehicle is in motion under non-steady-state conditions, detecting local extrema of the signal S which are respectively associated with phase values and with detection instants, determining a variation in frequency F? of rotation of the wheel as a function of said phase values and of said detection instants, determining, for at least one detection instant, a discrepancy between the local extremum associated with said detection instant and a reference signal obtained by eliminating the fluctuations in the signal S, determining a value for the longitudinal acceleration Val of the vehicle as a function of the at least one discrepancy, estimating the external radius Re as a function of Val and F?.

Abstract: A method for determining the position of a radial acceleration sensor of a wheel of a motor vehicle, including: acquiring, by the sensor, signals Si which are acquired during a predetermined time window Wi when the vehicle is in motion, the windows Wi being different from one another; detecting, for each time window Wi, local extrema of the signal Si; determining, for each time window Wi, a frequency Fi of the rotation of the wheel of the vehicle as a function of the phase values and of the detection instants for the local extrema detected; filtering of the signals Si, so as to obtain, for each time window Wi, a filtered value Zi; and determining the radial distance Rc between the radial acceleration sensor and the axis of rotation of the wheel.

Abstract: A method for locating at least one wheel of a vehicle, the wheels each being equipped with an electronic device which sends a wheel rotation signal to a central unit, a speed sensor for each wheel which supplies a signal to the central unit. For each electronic device, at least two sequences of several acquisitions are performed by formation of the signal with simultaneous acquisition by the central unit of the signal transmitted by each speed sensor. A pairing is performed of the two signals for an electronic device with each of the wheel speed signals. For each pair, a phase offset is measured between the two signals. When a constant phase offset is measured in the pairs with a speed sensor, the electronic device associated with the signal is identified as being assigned to the wheel associated with the speed sensor.

Abstract: A method for estimating the external radius Re of a tire fitted to a wheel of a motor vehicle, the wheel including a radial acceleration sensor. The method includes: acquiring, by the sensor, a signal S when the vehicle is in motion under non-steady-state conditions, detecting local extrema of the signal S which are respectively associated with phase values and with detection instants, determining a variation in frequency F? of rotation of the wheel as a function of said phase values and of said detection instants, determining, for at least one detection instant, a discrepancy between the local extremum associated with said detection instant and a reference signal obtained by eliminating the fluctuations in the signal S, determining a value for the longitudinal acceleration Val of the vehicle as a function of the at least one discrepancy, estimating the external radius Re as a function of Val and F?.

Abstract: A method for calibrating a radial acceleration sensor of a wheel of a vehicle including the following steps: acquisition, by the sensor, of signals Si, each signal Si being acquired during a predetermined time window Wi when the vehicle is in motion, the windows Wi being different from one another; detection, for each time window Wi, of local extrema of the signal Si associated respectively with phase values and detection instants; determination, for each time window Wi, of a frequency Fi of the rotation of the wheel of the vehicle as a function of the phase values and of the detection instants for the local extrema detected; low-pass filtering of the signals Si, so as to obtain, for each time window Wi, a filtered value Zi; calibration of a constant error Ec of the radial acceleration sensor as a function of the filtered values Zi and of the frequencies Fi.

Abstract: A method for determining the thickness of a tire of a motor vehicle being equipped with at least a tire pressure monitoring sensor placed in contact with the internal wall of the tire facing the tread, including the following steps: at least two successive reference times are determined; at least one instant of passage of a half-deflection angle is determined; the half-deflection angle is determined; then the value of a mean external radius, which radius is estimated in a range of angular positions, is determined; a value of a mean internal radius, which radius is estimated in a range of angular positions, is determined; then the thickness of the tire being the difference between the mean external radius and the mean internal radius.

Abstract: A method for determining the instantaneous frequency and phase of a periodic signal includes: acquiring a periodic signal characteristic of the frequency to be determined and a particular point of which is characteristic of a reference of the phase of the signal; identifying, by optimization, a reference sequence in at least one consecutive portion of the signal; determining a temporal evolution of the frequency of the signal by computing a function of the lag between the identification of the reference sequence in at least one consecutive portion of the signal; determining an instant corresponding to a point characteristic of a reference of the phase of the signal in the course of the period of the signal, and deducing therefrom the temporal evolution of the frequency, the instantaneous phase of the signal with respect to the point characteristic of phase reference.

Abstract: A method for locating at least one wheel of a vehicle, the wheels each being equipped with an electronic device which sends a wheel rotation signal to a central unit, a speed sensor for each wheel which supplies a signal to the central unit. For each electronic device, at least two sequences of several acquisitions are performed by formation of the signal with simultaneous acquisition by the central unit of the signal transmitted by each speed sensor. A pairing is performed of the two signals for an electronic device with each of the wheel speed signals. For each pair, a phase offset is measured between the two signals. When a constant phase offset is measured in the pairs with a speed sensor, the electronic device associated with the signal is identified as being assigned to the wheel associated with the speed sensor.