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An improved version of the original parametric formulation of the generalized spectral subtraction method is presented in this study. The original formulation uses parameters that minimize the mean-square error (MSE) between the estimated and true speech spectral amplitudes. However, the MSE does not take into account any perceptual measure. We propose two new short-time spectral amplitude estimators based on a perceptual error criterion . the weighted Euclidean distortion. The error function is easily adaptable to penalize spectral peaks and valleys differently. Performance evaluations were performed using two noise types over four SNR levels and compared to the original parametric formulation. Results demonstrate that for most cases the proposed estimators achieve greater noise suppression without introducing speech distortion.