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Hi,
There is a 1 page article inside the back cover of the May 97
Scientific American about these things.
The description goes like this. The door unit transmits a pulsed
58 kHz radio.
signal. The antishoplifting stickon contains a resonator made of a
magnetic material the right size to mechanically vibrate at 58 kHz. The
vibrating resonator produces its own 58 kHz radio signal. So, the pulse
from the door unit starts the device vibrating, the pulse stops, and then
the door unit looks for a 58kHz signal.
Thanks
Roger Haar