A wireless communication system for calculating the maximum absolute value of change in distance between at least two mobile communication devices, comprising: a first mobile communication device and a second mobile communication device, each including a measuring device (30, 30') for determining a change in position coordinates of the respective mobile communication device (S1, S2) between a start time t and a time t, the measuring devices (30, 30') each comprising an accelerometer and a compass, wherein the position coordinates of the first mobile communication device and of the second mobile communication device for the start time t are arbitrarily predefined; wherein at least the first mobile communication device includes an evaluation and control device which is configured - to cause the measuring device of the first mobile communication device to determine a change in position coordinates of the first mobile communication device between start time t and time t by processing input signals from the accelerometer and from the compass of the measuring device of the first mobile communication device; - to cause the measuring device of the second mobile communication device to determine a change in position coordinates of the second mobile communication device between start time t and time t by processing input signals from the accelerometer and from the compass of the measuring device of the second mobile communication device; - to cause the second mobile communication device to transmit the determined change in position coordinates to the first mobile communication device; and - to determine the maximum absolute value of change in distance between the first mobile communication device and the second mobile communication device on the basis of the change in position coordinates of the first mobile communication device and the change in position coordinates of the second mobile communication device between start time t and time t. a first mobile communication device and a second mobile communication device, each including a measuring device (30, 30') for determining a change in position coordinates of the respective mobile communication device (S1, S2) between a start time t and a time t, the measuring devices (30, 30') each comprising an accelerometer and a compass, wherein the position coordinates of the first mobile communication device and of the second mobile communication device for the start time t are arbitrarily predefined; wherein at least the first mobile communication device includes an evaluation and control device which is configured - to cause the measuring device of the first mobile communication device to determine a change in position coordinates of the first mobile communication device between start time t and time t by processing input signals from the accelerometer and from the compass of the measuring device of the first mobile communication device; - to cause the measuring device of the second mobile communication device to determine a change in position coordinates of the second mobile communication device between start time t and time t by processing input signals from the accelerometer and from the compass of the measuring device of the second mobile communication device; - to cause the second mobile communication device to transmit the determined change in position coordinates to the first mobile communication device; and - to determine the maximum absolute value of change in distance between the first mobile communication device and the second mobile communication device on the basis of the change in position coordinates of the first mobile communication device and the change in position coordinates of the second mobile communication device between start time t and time t. - to cause the measuring device of the first mobile communication device to determine a change in position coordinates of the first mobile communication device between start time t and time t by processing input signals from the accelerometer and from the compass of the measuring device of the first mobile communication device; - to cause the measuring device of the second mobile communication device to determine a change in position coordinates of the second mobile communication device between start time t and time t by processing input signals from the accelerometer and from the compass of the measuring device of the second mobile communication device; - to cause the second mobile communication device to transmit the determined change in position coordinates to the first mobile communication device; and - to determine the maximum absolute value of change in distance between the first mobile communication device and the second mobile communication device on the basis of the change in position coordinates of the first mobile communication device and the change in position coordinates of the second mobile communication device between start time t and time t.