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Báo cáo hóa học: " Research Article Coorbit Theory, Multi-α-Modulation Frames, and the Concept of Joint Sparsity for Medical "

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Coorbit Theory, Multi-α-Modulation Frames, and the Concept of Joint Sparsity for Medical | Hindawi Publishing Corporation EURASIP Journal on Advances in Signal Processing Volume 2008 Article ID471601 19 pages doi 10.1155 2008 471601 Research Article Coorbit Theory Multi-tf-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 2 Institute for Computational Mathematics in Science and Technology University of Applied Sciences Neubrandenburg Brodaer Street 2 17033 Neubrandenburg Germany 3 Zuse Institute Berlin Takustrasse 7 14195 Berlin-Dahlem Germany 4 MEG-Center Tubingen Otfried Muller Strasse 47 72076 Tubingen Germany Correspondence should be addressed to Gerd Teschke teschke@hs-nb.de Received 30 November 2007 Revised 8 August 2008 Accepted 19 August 2008 Recommended by Qi Tian 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-a-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. Copyright 2008 Stephan Dahlke et al. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. 1. INTRODUCTION One focus in the field of prenatal diagnostics is the investigation of fetal developmental brain processes that are limited by the .