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A great challenge in the wireless acoustic sensor network (WASN) based signal processing is to develop robust speech presence probability (SPP) estimation methods, which can work at each time frame and each frequency band. The knowledge of SPP plays an essential role in speech enhancement and noise estimation. Single channel SPP estimation and centralized multi-channel SPP estimation have been well studied. However, few efforts can be found for the distributed SPP estimation for WASN applications with multiple speakers. Accordingly, this paper presents a distributed model-based SPP estimation method for multi-speaker detection, which does not need any fusion center. A distributed k-means clustering method is first used to cluster the nodes into subnetworks, which target at detecting different speakers. For each node in the subnetwork, the speech and noise power spectral densities (PSD) are estimated locally by using a model-based method, then a distributed SPP estimator is developed in each subnetwork. A distributed consensus method is used to obtain the distributed clustering and the distributed SPP estimation. The results show that the proposed distributed clustering method can assign nodes into subnetworks based on their noisy observations. Moreover, the proposed distributed SPP estimator achieves robust speech detection performance under different noise conditions.

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