Abstract

This paper shows the importance of the optimal smoothing scheme in Microphone Array Post-Filtering (MAPF) under a combined Deterministic-Stochastic Hybrid Model (DSHM). We reveal that some of the well-known MAPF algorithms may cause serious speech distortion without using the optimal smoothing scheme, which is resulted from oversmoothing the raw periodogram over time. Using a minimum conditional mean square error criterion, we derive the optimal smoothing factor under the DSHM, where the Deterministic-to-Stochastic-Ratio (DSR) and the stationarity determine the value of the optimal smoothing factor. The optimal smoothing scheme is applied to the Transient-Beam-to-Reference-Ratio (TBRR)-based MAPF algorithm and experimental results show its better performance in terms of both the Log-Spectral Distance (LSD) and the Perceptual Evaluation of Speech Quality (PESQ).

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