Coorbit theory, multi-\(\alpha \)-modulation frames, and the concept of joint sparsity for medical multichannel data analysis. (English) Zbl 1184.94195

Summary: 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-\(\alpha \)-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.


94A14 Modulation and demodulation in information and communication theory
92C50 Medical applications (general)
Full Text: DOI


[1] doi:10.1016/S0140-6736(99)02901-3
[2] doi:10.1002/1097-0193(200102)12:2<94::AID-HBM1006>3.0.CO;2-E
[3] doi:10.1016/S0304-3940(02)00859-5
[4] doi:10.1016/S0140-6736(02)09905-1
[5] doi:10.1016/S1388-2457(01)00532-6
[6] doi:10.1023/A:1012519923583
[8] doi:10.1109/TBME.2002.803523
[9] doi:10.1109/TBME.2004.827265
[10] doi:10.1109/10.568914
[11] doi:10.1109/10.284962
[12] doi:10.1109/TIT.2005.862083 · Zbl 1231.94017
[13] doi:10.1109/TIT.2006.885507 · Zbl 1309.94033
[14] doi:10.1109/TIT.2006.871582 · Zbl 1288.94016
[15] doi:10.1002/cpa.10116 · Zbl 1038.94502
[16] doi:10.1016/j.acha.2005.03.005 · Zbl 1081.68732
[17] doi:10.1112/plms/pdm051 · Zbl 1215.42035
[18] doi:10.1016/0022-1236(89)90055-4 · Zbl 0691.46011
[19] doi:10.1007/BF01308667 · Zbl 0713.43004
[20] doi:10.1016/j.sigpro.2005.05.031 · Zbl 1163.94395
[21] doi:10.1016/j.sigpro.2005.05.030 · Zbl 1163.94396
[22] doi:10.1137/0606668909 · Zbl 1211.65066
[23] doi:10.1088/0266-5611/23/5/005 · Zbl 1131.47055
[25] doi:10.1016/S1076-5670(07)00001-8
[26] doi:10.1007/s00211-006-0016-3 · Zbl 1101.65056
[27] doi:10.1016/j.acha.2006.05.003 · Zbl 1144.94002
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