A signal-repeater device for wireless signals, comprising: - a signal processing unit which is configured to perform a signal receiving function involving reception of wireless input signals (310.1, 314.1) which transport payload information or control information between an external network gateway device and one or more external wireless transceiver devices (304, 306) associated with the signal-repeater device, and which is configured to perform, in a regular repeater-operation mode, the signal receiving function and a signal repeating function involving a retransmission of an amplified wireless output signal (310.2, 314.2) carrying the payload information or the control information; and - an operation control unit which is configured: - to operate the signal processing unit in the regular repeater-operation mode and in a low-power repeater-operation mode, in which the signal repeating function is switched off; - to determine status information indicative of the associated external transceiver devices being respectively operated in a low-power transceiver-operation mode; - to switch off the signal repeating function upon determining from the status information that each of the one or more associated external wireless transceiver devices is being operated in the low-power transceiver-operation mode; and - while the signal processing unit is being operated in the low-power repeater-operation mode, to await reception of a predetermined repeater-wake-up signal, and, upon reception thereof, to switch to operation of the signal processing unit in the regular repeater-operation mode; and the signal-repeater device further characterized by comprising: - a low-power wake-up radio receiver unit configured to receive, while the signal-repeater device is operating in the low-power repeater-operation mode, the repeater-wake-up signal and to forward it to the operation control unit and not to the signal processing unit. - a signal processing unit which is configured to perform a signal receiving function involving reception of wireless input signals (310.1, 314.1) which transport payload information or control information between an external network gateway device and one or more external wireless transceiver devices (304, 306) associated with the signal-repeater device, and which is configured to perform, in a regular repeater-operation mode, the signal receiving function and a signal repeating function involving a retransmission of an amplified wireless output signal (310.2, 314.2) carrying the payload information or the control information; and - an operation control unit which is configured: - to operate the signal processing unit in the regular repeater-operation mode and in a low-power repeater-operation mode, in which the signal repeating function is switched off; - to determine status information indicative of the associated external transceiver devices being respectively operated in a low-power transceiver-operation mode; - to switch off the signal repeating function upon determining from the status information that each of the one or more associated external wireless transceiver devices is being operated in the low-power transceiver-operation mode; and - while the signal processing unit is being operated in the low-power repeater-operation mode, to await reception of a predetermined repeater-wake-up signal, and, upon reception thereof, to switch to operation of the signal processing unit in the regular repeater-operation mode; and the signal-repeater device further characterized by comprising: - a low-power wake-up radio receiver unit configured to receive, while the signal-repeater device is operating in the low-power repeater-operation mode, the repeater-wake-up signal and to forward it to the operation control unit and not to the signal processing unit. - to operate the signal processing unit in the regular repeater-operation mode and in a low-power repeater-operation mode, in which the signal repeating function is switched off; - to determine status information indicative of the associated external transceiver devices being respectively operated in a low-power transceiver-operation mode; - to switch off the signal repeating function upon determining from the status information that each of the one or more associated external wireless transceiver devices is being operated in the low-power transceiver-operation mode; and - while the signal processing unit is being operated in the low-power repeater-operation mode, to await reception of a predetermined repeater-wake-up signal, and, upon reception thereof, to switch to operation of the signal processing unit in the regular repeater-operation mode; and the signal-repeater device further characterized by comprising: - a low-power wake-up radio receiver unit configured to receive, while the signal-repeater device is operating in the low-power repeater-operation mode, the repeater-wake-up signal and to forward it to the operation control unit and not to the signal processing unit. - a low-power wake-up radio receiver unit configured to receive, while the signal-repeater device is operating in the low-power repeater-operation mode, the repeater-wake-up signal and to forward it to the operation control unit and not to the signal processing unit.