Noninvasive fetal ECG extraction using doubly constrained block-term decomposition

Iman Mousavian; Mohammad Bagher Shamsollahi; Emad Fatemizadeh; Iman Mousavian; Mohammad Bagher Shamsollahi; Emad Fatemizadeh

doi:10.3934/mbe.2020008

Mathematical Biosciences and Engineering

2020, Volume 17, Issue 1: 144-159. doi: 10.3934/mbe.2020008

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Research article Special Issues

Noninvasive fetal ECG extraction using doubly constrained block-term decomposition

1.
Department of Biomedical Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran
2.
Department of Electrical Engineering, Sharif University of Technology, Tehran, Iran

Received: 31 May 2019 Accepted: 10 September 2019 Published: 26 September 2019

Fetal electrocardiogram (fECG) monitoring is a beneficial method for assessing fetal health and diagnosing the fetal cardiac condition during pregnancy. In this study, an algorithm is proposed to extract fECG from maternal abdominal signals based on doubly constrained block-term (DoCoBT) tensor decomposition. This tensor decomposition method is constrained by quasiperiodicity constraints of fetal and maternal ECG signals. Tensor decompositions are more powerful tools than matrix decomposition, due to employing more information for source separation. Tensorizing abdominal signals and using periodicity constraints of fetal and maternal ECG, appropriately separates subspaces of the mother, the fetus(es) and noise. The quantitative and qualitative results of the proposed method show improved performance of DoCoBT decomposition versus other tensor and matrix decomposition methods in noisy conditions.
- signal extraction,
- fECG,
- tensor decomposition,
- BT decomposition
Citation: Iman Mousavian, Mohammad Bagher Shamsollahi, Emad Fatemizadeh. Noninvasive fetal ECG extraction using doubly constrained block-term decomposition[J]. Mathematical Biosciences and Engineering, 2020, 17(1): 144-159. doi: 10.3934/mbe.2020008

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Abstract

Fetal electrocardiogram (fECG) monitoring is a beneficial method for assessing fetal health and diagnosing the fetal cardiac condition during pregnancy. In this study, an algorithm is proposed to extract fECG from maternal abdominal signals based on doubly constrained block-term (DoCoBT) tensor decomposition. This tensor decomposition method is constrained by quasiperiodicity constraints of fetal and maternal ECG signals. Tensor decompositions are more powerful tools than matrix decomposition, due to employing more information for source separation. Tensorizing abdominal signals and using periodicity constraints of fetal and maternal ECG, appropriately separates subspaces of the mother, the fetus(es) and noise. The quantitative and qualitative results of the proposed method show improved performance of DoCoBT decomposition versus other tensor and matrix decomposition methods in noisy conditions.

References

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