Abstract: In a process for measuring axle bearing temperatures in order to locate hot wheels in moving railroad cars with infrared receivers and with an oscillating scanning beam that is oriented transversely to the longitudinal direction of the rail, the analog measured values from the infrared receiver are digitized and then coupled with the oscillation frequency orientation of the scanning beam so that at least two complete oscillations of the scanning beam are analyzed for each axle. A mean value is formed from the measured value corresponding to one sub-area of a first oscillation of the scanning beam and from the measured value that corresponds to subsequent oscillations of the scanning beam. When this is done, the calculation of the average or mean value is repeated for a specific predetermined maximum number of oscillations of the scanning beam and for as long as an activation signal initiated by the wheel signals from the same axle is within the measuring angle of the center.