Blind source separation based on joint diagonalization of matrices with applications in biomedical signal processing

This thesis is concerned with the solution of the blind source separation problem (BSS). The BSS problem occurs frequently in various scientific and technical applications. In essence, it consists in separating meaningful underlying components out of a mixture of a multitude of superimposed signals. In the recent research literature there are two related approaches to the BSS problem: The first is known as Independent Component Analysis (ICA), where the goal is to transform the data such that the components become as independent as possible. The second is based on the notion of diagonality of certain characteristic matrices derived from the data. Here the goal is to transform the matrices such that they become as diagonal as possible. In this thesis we study the latter method of approximate joint diagonalization (AJD) to achieve a solution of the BSS problem. After an introduction to the general setting, the thesis provides an overview on particular choices for the set of target matrices that can be used for BSS by joint diagonalization. As the main contribution of the thesis, new algorithms for approximate joint diagonalization of several matrices with non-orthogonal transformations are developed. These newly developed algorithms will be tested on synthetic benchmark datasets and compared to other previous diagonalization algorithms. Applications of the BSS methods to biomedical signal processing are discussed and exemplified with real-life data sets of multi-channel biomagnetic recordings.

Level thesis:degree_level

thesis.doctoral

Grantor dc:publisher

Universität Potsdam

Year

2005

Author dc:creator

• Ziehe, Andreas

Contributors dc:contributor

• Müller, Klaus-Robert

• Signalquellentrennung
• Matrizen-Eigenwertaufgabe
• Simultane Diagonalisierung
• Optimierungsproblem
• blind source separation
• BSS
• ICA
• independent component analysis
• approximate joint diagonalization
• EEG
• MEG

Repository record source_url

https://publishup.uni-potsdam.de/frontdoor/index/index/docId/501

OAI identifier oai:identifier

oai:kobv.de-opus4-uni-potsdam:501