A method of wirelessly transmitting alarm signals includes wirelessly transmitting an alarm signal from a transmitting station. It is determined whether an acknowledgement signal wirelessly transmitted from an access point in response to the access point receiving the alarm signal has been received by the transmitting station. A relaying station is woken up and kept awake during a plurality of periodic time intervals for overhearing transmissions from the transmitting station. If it is determined that an acknowledgement signal from the access point has not been received by the transmitting station, then the alarm signal is wirelessly re-transmitting from the transmitting station during at least one of the time intervals in which the relaying station is awake. The alarm signal is received at the relaying station. The alarm signal is transmitted from the relaying station to the access point.