Abstract: A speech communication or computing device comprises at least one speech input device for receiving noisy speech uttered by a speaker. A speech processing function comprises a voice recognition function, which comprises a noise reduction function (235) having a Wiener Filter (335) with adjustable filter co-efficients. The speech input device also comprises multiple microphones (142, 144) configured to provide a substantially continuous noise signal to a noise spectrum estimation function (325) of the noise reduction function (235) to provide a substantially continuous estimate of noise. The noise estimate is used to adjust the filter co-efficients of the Wiener Filter (335), thereby removing noise from the noisy speech. A microphone array and a method for speech recognition are also described. By using the noise estimate from, say, a microphone array, the Wiener filter coefficients can be updated substantially continuously, for example, each speech frame.