EURASIP Journal on Advances in Signal Processing 
Volume 2008 (2008), Article ID 471601, 19 pages
doi:10.1155/2008/471601
Research Article

Coorbit Theory, Multi-α-Modulation Frames, and the Concept of Joint Sparsity for Medical Multichannel Data Analysis

Stephan Dahlke,1 Gerd Teschke,2,3 and Krunoslav Stingl4

 1FB 12 - Faculty of Mathematics and Computer Sciences, Philipps-University of Marburg, Hans-Meerwein-Street, Lahnberge, 35032 Marburg, Germany
2Institute for Computational Mathematics in Science and Technology, University of Applied Sciences Neubrandenburg, Brodaer Street 2, 17033 Neubrandenburg, Germany
3Zuse Institute Berlin, Takustrasse 7, 14195 Berlin-Dahlem, Germany
4MEG-Center Tübingen, Otfried Müller Strasse 47, 72076 Tübingen, Germany
Received 30 November 2007; Revised 8 August 2008; Accepted 19 August 2008

Recommended by Qi Tian

Abstract

This paper is concerned with the analysis and decomposition of medical multichannel data. We present a signal processing technique that reliably detects and separates signal components such as mMCG, fMCG, or MMG by involving the spatiotemporal morphology of the data provided by the multisensor geometry of the so-called multichannel superconducting quantum interference device (SQUID) system. The mathematical building blocks are coorbit theory, multi-α-modulation frames, and the concept of joint sparsity measures. Combining the ingredients, we end up with an iterative procedure (with component-dependent projection operations) that delivers the individual signal components.