Efficient frequency-domain implementation of speech distortion weighted multi-channelwiener filtering for noise reduction

A stochastic gradient implementation of a generalised multi-microphone noise reduction scheme, called the Spatially Preprocessed Speech Distortion Weighted Multi-channel Wiener Filter (SP-SDW-MWF), has recently been proposed in [1]. In order to compute a regularisation term in the filter update formulas, data buffers are required in this implementation, resulting in a large memory usage. This paper shows that by approximating this regularisation term in the frequency-domain the memory usage (and the computational complexity) can be reduced drastically. Experimental results demonstrate that this approximation only gives rise to a limited performance difference and that hence the proposed algorithm preserves the robustness benefit of the SP-SDW-MWF over the GSC (with Quadratic Inequality Constraint).