Multichannel Iterative Noise Reduction Filters in the Short-Time-Fourier-Transform Domain Based on Kronecker Product Decomposition

In this paper, the design of multichannel noise reduction filters in the short-time-Fourier-transform (STFT) domain is addressed. By investigating the structure of the linear filter, a set of multichannel iterative noise reduction filters are developed based on the Kronecker product decomposition. Instead of computing a long noise reduction filter, we compute three much shorter sub-filters which are separately applied in the spatial, temporal and frequency dimensions. Consequently, compared with the traditional multichannel STFT-domain noise reduction filters, the proposed approaches have two advantages: 1) significantly lower computational complexity; 2) less past observations are needed to construct the iterative filters, which leads to better tracking ability for the temporal/spatial signal nonstationarity. Experimental results demonstrate the advantages of the developed iterative filters over the traditional ones.