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

EURASIP Journal on Advances in Signal Processing volume 2008, Article number: 471601 (2008) Cite this article

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--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.

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Authors and Affiliations

  1. FB 12 - Faculty of Mathematics and Computer Sciences, Philipps-University of Marburg, Hans-Meerwein-Street, Lahnberge, 35032, Marburg, Germany

    Stephan Dahlke

  2. Institute for Computational Mathematics in Science and Technology, University of Applied Sciences Neubrandenburg, Brodaer Street 2, 17033, Neubrandenburg, Germany

    Gerd Teschke

  3. Zuse Institute Berlin, Takustrasse 7, 14195, Berlin-Dahlem, Germany

    Gerd Teschke

  4. MEG-Center Tübingen, Otfried Müller Strasse 47, 72076, Tübingen, Germany

    Krunoslav Stingl

Authors
  1. Stephan Dahlke
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  2. Gerd Teschke
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  3. Krunoslav Stingl
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Corresponding author

Correspondence to Gerd Teschke.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Dahlke, S., Teschke, G. & Stingl, K. Coorbit Theory, Multi--Modulation Frames, and the Concept of Joint Sparsity for Medical Multichannel Data Analysis. EURASIP J. Adv. Signal Process. 2008, 471601 (2008). https://doi.org/10.1155/2008/471601

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  • DOI: https://doi.org/10.1155/2008/471601

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