A novel speech enhancement technique is presented based on the definit
ion of the psychoacoustically derived quantity of audible noise spectr
um and its subsequent suppression using optimal nonlinear filtering of
the short-time spectral amplitude (STSA) envelope, The filter operate
s with sparse spectral estimates obtained from the STSA, and, when the
se parameters are accurately known, significant intelligibility gains,
up to 40%, result in the processed speech signal, These parameters ca
n be also estimated from noisy data, resulting into smaller but signif
icant intelligibility gains.