A spectral subtraction noise suppression method in a frame based digital communication system is described. Each frame includes a predetermined number N of audio samples, thereby giving each frame N degrees of freedom. The method is performed by a spectral subtraction function H(w) which is based on an estimate of the power spectral density of background noise of non-speech frames and an estimate &PHgr;. sub.x (w) of the power spectral density of speech frames. Each speech frame is approximated by a parametric model that reduces the number of degrees of freedom to less than N. The estimate &PHgr;.sub.x (w) of the power spectral density of each speech frame is estimated from the approximative parametric model.
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