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This paper explores blind deconvolution of reverberated speech signals in microphone array applications. Two regularization approaches are proposed based on available a priori knowledge. The regularized least-squares (LS) approach uses the speech signal characteristics and the lowpass nature of the reverberation channel; and the regularized cross correlation (CR) approach requires more precise knowledge of reverberation which can be obtained through training. The two methods are robust to the presence of noise.
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Liu et al. (2002) studied this question.
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