each integral in fig1 q 4 and n 4 since the angle detection is carried out on a system with inertial mass and the accelerations occurring lie below a maximum value a_max a change in the angular velocity within time interval u03b4t is possible only by the maximum velocity difference from the last known angular velocity v_old and the last known angle u03b1_old an estimated value is obtained u03b1_estimate u03b1_old v_old u03b4t the angular change relative to this estimated value amounts to a maximum of u03b4v_max u03b4t and produces a maximum overshoot of the sub angle into the next adjacent sub angle range therefore the detected new values of the partial angle sub angle and fine angle do not have to be available to determine the next angular value but rather the sub angle and the fine angle are sufficient if the angular value valid for the previous period of time is known the reason is that the new sub angle range may be obtained from the comparison of the old sub angle value to the new sub angle value and from the difference between the new and old sub angle values since the new fine angle is transmitted this value is also known the fine angle value unambiguously assigning an angular value to the new sub angle value this method is able to be portrayed in fig1 based on a concrete example the old angular value by way of example is p a partial angle value 1 sub angle value 2 fine angle value 3 in this case the old angular velocity amounts to 9 sub angle ranges per period of time u03b4t thus an estimated value of p partial angle value 3 sub angle value 3 fine angle value 3 results if the new measured value.