Audio Signal Blind Deconvolution Based on the Quotient Space Hierarchical Theory

The Time-Frequency Domain Blind Deconvolution is discussed based on the quotient space theory. The domain transformation [Xw] → [Xn]G → [X′] and the corresponding granular computing method is introduced to describe the hierarchical structure of deconvolution process, which converts the convolutive mixture of original time-domain signals into instantaneous mixtures in the quotient space. The experimental results show that the algorithm proposed in this paper achieves a relatively high separation quality.