A system for estimating the background noise in a loudspeaker-room-microphone system is presented herein where the loudspeaker is supplied with a source signal and the microphone picks up the source signal distorted by the room and provides a distorted signal. The system comprises an adaptive filter receiving the source signal and the distorted signal, and providing an error signal, a post filter connected downstream of the adaptive filter and a smoothing filter arrangement connected downstream of the adaptive filter. The smoothing filter arrangement includes a spectral domain smoothing filter that provides a spectral domain estimated-noise signal, and a time domain smoothing filter that provides a time domain estimated-noise signal. A scaling factor calculation unit receives signals indicative of the spectral domain estimated noise signal and the time domain estimated noise signal provides a scaling factor to a scaling unit that applies the scaling factor to the spectral domain estimated-noise signal to provide an enhanced spectral domain estimated-noise signal.