Help Privacy Policy Disclaimer
  Advanced SearchBrowse




Journal Article

Overcomplete Independent Component Analysis via Linearly Constrained Minimum Variance Spatial Filtering

There are no MPG-Authors in the publication available
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)
There are no public fulltexts stored in PuRe
Supplementary Material (public)
There is no public supplementary material available

Grosse-Wentrup, M., & Buss, M. (2007). Overcomplete Independent Component Analysis via Linearly Constrained Minimum Variance Spatial Filtering. Journal of VLSI Signal Processing Systems for Signal, Image, and Video Technology, 48(1-2), 161-171. doi:10.1007/s11265-006-0028-3.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-CC35-D
Independent Component Analysis (ICA) designed for complete bases is used in a variety of applications with great success, despite the often questionable assumption of having N sensors and M sources with N8805;M. In this article, we assume a source model with more sources than sensors (M>N), only L<N of which are assumed to have a non-Gaussian distribution. We argue that this is a realistic source model for a variety of applications, and prove that for ICA algorithms designed for complete bases (i.e., algorithms assuming N=M) based on mutual information the mixture coefficients of the L non-Gaussian sources can be reconstructed in spite of the overcomplete mixture model. Further, it is shown that the reconstructed temporal activity of non-Gaussian sources is arbitrarily mixed with Gaussian sources. To obtain estimates of the temporal activity of the non-Gaussian sources, we use the correctly reconstructed mixture coefficients in conjunction with linearly
constrained minimum variance spatial filtering. This results in estimates of the non-Gaussian sources minimizing the variance of the interference of other sources. The approach is applied to the denoising of Event Related Fields recorded by MEG, and it is shown that it performs superiorly to ordinary ICA.