gyroscopic data is shown when the gyroscope application is running for each time step n given by the clock 100 times a second with a dt 10 ms between them the following steps were executed a b a magnetometer angle vector e n based on outputs produced by the magnetometer 7 fig1 and an accelerometer angle vector a n based on outputs produced by the accelerometer 6 fig1 are sampled whereby each of the magnetometer angle vector e n and the accelerometer angle vector a n passes at first a plausibility check and later a low band filter the plausibility check calculates the absolute values of booth of the magnetometer angle vector e n and the accelerometer angle vector a n for this the triangle norm using the formula simpler computable than euclids norm is used to derive an absolute value whereby the absolute value of a valid magnetometer angle vector e n is limited to an interval from 30 u03bct to 100 u03bct and the absolute value of a due accelerometer angle vector a n is limited to an interval from 8 ms u0302 2 to 12 ms u0302 2 if the plausibility check is failed the method breaks because the physically assumption are not given the low pass filter is applied to each sensor using the following formula where x n is the raw sensor data and s n the filtered data alpha is constant lt 1.