On blind separability based on the temporal predictability method

Authors:
Shengli Xie;Guoxu Zhou;Zuyuan Yang;Yuli Fu
Affiliations:
School of Electronic and Information Engineering, South China University of Technology, Guangzhou, China;School of Electronic and Information Engineering, South China University of Technology, Guangzhou, China;School of Electronic and Information Engineering, South China University of Technology, Guangzhou, China;School of Electronic and Information Engineering, South China University of Technology, Guangzhou, China
Venue:
Neural Computation
Year:
2009

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Abstract

This letter discusses blind separability based on temporal predictability (Stone, 2001; Xie, He, & Fu, 2005). Our results show that the sources are separable using the temporal predictability method if and only if they have different temporal structures (i.e., autocorrelations). Consequently, the applicability and limitations of the temporal predictability method are clarified. In addition, instead of using generalized eigendecomposition, we suggest using joint approximate diagonalization algorithms to improve the robustness of the method. A new criterion is presented to evaluate the separation results. Numerical simulations are performed to demonstrate the validity of the theoretical results.