A New Proof of a Contrast Function for Bounded Component Analysis and Further Analysis

Publication date: Available online 4 April 2018
Source:Computer Speech & Language
Author(s): Wei Gao, Shen Fan, Roberto Togneri, Victor Sreeram
Bounded Component Analysis (BCA) solves the Blind Source Separation (BSS) problem based on geometric assumptions. This paper introduces a new proof of a BCA contrast function, derived from elementary matrices, Gauss-Jordan elimination and convex geometry. The new proof and further analysis provide additional insight into a key assumption of BCA. In addition, an interpretation is presented to clarify one of the limitations of the instantaneous BCA algorithm. Experiments on audio sources support our analysis.



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