A rolling bearing arrangement for an anti-locking brake system has a pulse ring with projections directed toward the fixed ring. The surfaces of the projections that activate the pulse generator are cut during the hard working of the bearing ring. The pulse generator is integrated in the rolling bearing arrangement. Thereby, on one hand, tolerance limited operational differences in the amplitude and shape of the pulses are avoided, especially during slow rotational speeds of the bearing ring. Furthermore, external influences on the pulse generator and pulse ring caused by rough roads do not occur due to the hermetic encapsulation of the sensitive components.