Theoretical analysis of musical noise in Wiener filtering family via higher-order statistics

Recently, one of the authors has reported that the amount of generated musical noise is strongly correlated with higher-order statistics of the power spectra. On the basis of this finding, in this paper, we provide a new theoretical analysis of the amount of musical noise generated via the Wiener filtering family. Our theoretical analysis allows the universal performance description from the viewpoint of the amount of musical noise generation and that of noise reduction, enabling reasonable sound quality comparison under the same noise reduction performance. From a mathematical analysis and evaluation experiments, we also clarify which parameter settings result in less musical noise generated in the Wiener filtering family.