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We propose a new approach for online noise power spectral density (psd) tracking. In this approach, the prior and posterior probabilities of speech absence and also noise statistics are analytically retrieved from a maximum-likelihood-based criterion at every time-frequency slot. The recursive update rules of these three terms are performed in a unified manner and without relying on the conventional tracking of speech psd minima. A single parameter (a forgetting factor) is needed in this process. Comparisons with state of the art methods demonstrate the effectiveness of our proposal.