Abstract: A noise reducing audio receiving system comprises a microphone array with a plurality of microphone elements for receiving an audio signal. An array filter is connected to the microphone array for filtering noise in accordance with select filter coefficients to develop an estimate of a speech signal. A voice activity detector is connected to the microphone array and comprises a beamformer for combining audio from the microphone elements and a detector for detecting presence or absence of speech in the combined audio. A correlation estimator is operatively connected to the microphone array, the voice activity detector and the array filter. The correlation estimator updates the select filter coefficients using the received audio signal in the absence of speech in the received audio signal.