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Recently, to improve the estimation accuracy of this approach, we have proposed an extention of it, namely a maximum a posterior (MAP) estimation approach using pre-trained log-spectral priors, and showed its effectiveness. This paper newly applies this extention to a multi-channel Wiener filtering based undetermined blind source separation (BSS) technique proposed by Duong et al. This conventional method adopts the likelihood maximization approach for estimating the source spectra and the spatial correlation matrices for the Wiener filtering. 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