Study of Approach of Blind Source Separation Based on Negentropy
Zhongfu Ye · Jisuanji fangzhen · 2007
From the aspects of statistic principles, approximation of negentropy, stability theorem and historical clues, Hyv?rinen's negentropy-based approach of blind source separation was analyzed in detail. The arguments were proposed: (1) In this approach of ICA, a definition of marginal negentropy, instead of joint negentropy should be stated. (2) The negentropy-based ICA could be partly interpreted by the Central Limit Theorem (CLT). However, CLT could not be a convincing statistics base for the approach. (3) The formula of negentropy approximation presented by Hyv?rinen can not correctly measure the non-gaussianity. (4) The actual mechanism of separating sources of the approach is the extremum property of expectation of a variable after non-linear transform. However, it may not be appropriate to derive from the criterion of negentropy.