Abstract: A system for electronic safeguarding against burglary, or for monitoring, having a signal emitter and a receiver for receiving signals from a resonance label if the label is located in the zone of emitted signals. The system is adapted for use in stores, such as department stores, to detect unauthorized removal of items that carry a resonance label. The receiver evaluates the received signals to trigger an alarm signal upon detection by a receiver of a signal from a resonance label. Plural emitter-signal pairs are provided in which the respective emitter signals are wobbled at staggered frequencies within a broad frequency band. The emitter is also operative to emit and inoperative not to emit periodically only during alternating time phases and the receiver evaluates signals received by it for triggering the alarm only during the intervals between the signal emitting state of the emitter.