Second-Order Blind Source Separation Based on Multi-dimensional Autocovariances

SOBI is a blind source separation algorithm based on time decorrelation. It uses multiple time autocovariance matrices, and performs joint diagonalization thus being more robust than previous time decorrelation algorithms such as AMUSE. We propose an extension called mdSOBI by using multidimensional autocovariances, which can be calculated for data sets with multidimensional parameterizations such as images or fMRI scans. mdSOBI has the advantage of using the spatial data in all directions, whereas SOBI only uses a single direction. These findings are confirmed by simulations and an application to fMRI analysis, where mdSOBI outperforms SOBI considerably. Blind source separation (BSS) describes the task of recovering the unknown mixing process and the underlying sources of an observed data set. Currently, many BSS algorithm assume independence of the sources (ICA), see for instance [1,2] and references therein. In this work, we consider BSS algorithms based on time-decorrelation. Suc...

• Type: Conference
• Year: 2004
• Where: ICA
• Authors: Fabian J. Theis, Anke Meyer-Bäse, Elmar Wolfgang Lang
• Keywords: Blind Source Separation, Bss Algorithms, Data Sets, ICA 2004