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In this paper, a multi-channel time-varying covariance matrix model for latereverberation reduction is proposed. Reflecting that variance of the latereverberation is time-varying and it depends on past speech source variance,the proposed model is defined as convolution of a speech source variance with amulti-channel time-invariant covariance matrix of late reverberation. Themulti-channel time-invariant covariance matrix can be interpreted as acovariance matrix of a multi-channel acoustic transfer function (ATF). Anadvantageous point of the covariance matrix model against a deterministic ATFmodel is that the covariance matrix model is robust against fluctuation of theATF. We propose two covariance matrix models. The first model is a covariancematrix model of late reverberation in the original microphone input signal. Thesecond one is a covariance matrix model of late reverberation in an extendedmicrophone input signal which includes not only current microphone input signalbut also past microphone input signal. The second one considers correlationbetween the current microphone input signal and the past microphone inputsignal. Experimental results show that the proposed method effectively reducesreverberation especially in a time-varying ATF scenario and the second model isshown to be more effective than the first model.

Multi-channel Time-Varying Covariance Matrix Model for Late Reverberation Reduction