A method of measuring and transmitting a tire characteristic using a sensor device mounted or mountable to a tire of a wheel of a vehicle, the sensor device comprising: at least one sensor element for sensing a characteristic of the tire, an accelerometer , a wireless transmitter or transceiver , and a controller ; the method comprising the steps of: a) obtaining information from an acceleration sensor (904; 1001) at a sampling frequency (fs) and digitizing said information, thereby obtaining acceleration data (Xi); b) digitally filtering the acceleration data (Xi) to reduce noise; c) determining at least two moments in time (tx, ty) at which the wheel is in a constant angular position range; d) obtaining and digitizing sensor information from at least one other sensor adapted for measuring a characteristic of the tire, thereby obtaining other sensor data; e) transmitting the other sensor data to a receiver at said moments in time (tx, ty); wherein: characterized in that step b) comprises making use of a plurality (M) of at least two digital filters (EMA1, EMA2) connected in series, each of the at least two digital filters being an exponential moving average filter having a filter characteristic corresponding to a set of predefined formulas comprising one or more parameters (N1, N2); and wherein the method further comprises step f) of determining the number of samples (NoS) between said moments in time (tx, ty), and setting each of said parameters (N1, N2) to a value proportional to said number of samples (NoS). a) obtaining information from an acceleration sensor (904; 1001) at a sampling frequency (fs) and digitizing said information, thereby obtaining acceleration data (Xi); b) digitally filtering the acceleration data (Xi) to reduce noise; c) determining at least two moments in time (tx, ty) at which the wheel is in a constant angular position range; d) obtaining and digitizing sensor information from at least one other sensor adapted for measuring a characteristic of the tire, thereby obtaining other sensor data; e) transmitting the other sensor data to a receiver at said moments in time (tx, ty); wherein: characterized in that step b) comprises making use of a plurality (M) of at least two digital filters (EMA1, EMA2) connected in series, each of the at least two digital filters being an exponential moving average filter having a filter characteristic corresponding to a set of predefined formulas comprising one or more parameters (N1, N2); and wherein the method further comprises step f) of determining the number of samples (NoS) between said moments in time (tx, ty), and setting each of said parameters (N1, N2) to a value proportional to said number of samples (NoS). characterized in that step b) comprises making use of a plurality (M) of at least two digital filters (EMA1, EMA2) connected in series, each of the at least two digital filters being an exponential moving average filter having a filter characteristic corresponding to a set of predefined formulas comprising one or more parameters (N1, N2); and wherein the method further comprises step f) of determining the number of samples (NoS) between said moments in time (tx, ty), and setting each of said parameters (N1, N2) to a value proportional to said number of samples (NoS). <EOS>