A minimization problem for the sum of weighted convolutions' difference and a novel approach to the inverse problem of ECG- and PPG-signals recovering

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A minimization problem for the sum of weighted convolutions' difference and a novel approach to the inverse problem of ECG- and PPG-signals recovering. / Kel'Manov, A.; Khamidullin, S.; Mikhailova, L. et al.

In: Journal of Physics: Conference Series, Vol. 2092, No. 1, 012007, 20.12.2021.

Research output: Contribution to journal › Conference article › peer-review

BibTeX

@article{74bd93098dbd41dbad3fe28a1e3855da,

title = "A minimization problem for the sum of weighted convolutions' difference and a novel approach to the inverse problem of ECG- and PPG-signals recovering",

abstract = "In this paper, we consider an unstudied problem of approximation of an observed pulse train by by a quasiperiodic signal generated by a pulse with a given pattern (reference) shape. The quasiperiodicity allows variation of time intervals between repetitions of the pattern pulse, as well as nonlinear expansions of the pattern in time. Such inverse problems are common in electrocardiogram (ECG) and photoplethysmogram (PPG) features extraction. The following two variants of the problem are considered. In the first variant, the number of the pulse repetitions is unknown, while in the second one, that number is given. The polynomial-time solvability of the both variants of the problem is constructively proved.",

author = "A. Kel'Manov and S. Khamidullin and L. Mikhailova and P. Ruzankin",

note = "Funding Information: Acknowledgments. The study was carried out within the framework of the state contract of the Sobolev Institute of Mathematics (projects no. 0314-2019-0015 and 0314-2019-0008), and was supported by the Russian Foundation for Basic Research, project no. 19-07-00397. Publisher Copyright: {\textcopyright} 2021 Institute of Physics Publishing. All rights reserved.; 11th International Scientific Conference and Young Scientist School on Theory and Computational Methods for Inverse and Ill-posed Problems ; Conference date: 26-08-2019 Through 04-09-2019",

year = "2021",

month = dec,

day = "20",

doi = "10.1088/1742-6596/2092/1/012007",

language = "English",

volume = "2092",

journal = "Journal of Physics: Conference Series",

issn = "1742-6588",

publisher = "IOP Publishing Ltd.",

number = "1",

}

RIS

TY - JOUR

T1 - A minimization problem for the sum of weighted convolutions' difference and a novel approach to the inverse problem of ECG- and PPG-signals recovering

AU - Kel'Manov, A.

AU - Khamidullin, S.

AU - Mikhailova, L.

AU - Ruzankin, P.

N1 - Funding Information: Acknowledgments. The study was carried out within the framework of the state contract of the Sobolev Institute of Mathematics (projects no. 0314-2019-0015 and 0314-2019-0008), and was supported by the Russian Foundation for Basic Research, project no. 19-07-00397. Publisher Copyright: © 2021 Institute of Physics Publishing. All rights reserved.

PY - 2021/12/20

Y1 - 2021/12/20

N2 - In this paper, we consider an unstudied problem of approximation of an observed pulse train by by a quasiperiodic signal generated by a pulse with a given pattern (reference) shape. The quasiperiodicity allows variation of time intervals between repetitions of the pattern pulse, as well as nonlinear expansions of the pattern in time. Such inverse problems are common in electrocardiogram (ECG) and photoplethysmogram (PPG) features extraction. The following two variants of the problem are considered. In the first variant, the number of the pulse repetitions is unknown, while in the second one, that number is given. The polynomial-time solvability of the both variants of the problem is constructively proved.

AB - In this paper, we consider an unstudied problem of approximation of an observed pulse train by by a quasiperiodic signal generated by a pulse with a given pattern (reference) shape. The quasiperiodicity allows variation of time intervals between repetitions of the pattern pulse, as well as nonlinear expansions of the pattern in time. Such inverse problems are common in electrocardiogram (ECG) and photoplethysmogram (PPG) features extraction. The following two variants of the problem are considered. In the first variant, the number of the pulse repetitions is unknown, while in the second one, that number is given. The polynomial-time solvability of the both variants of the problem is constructively proved.

UR - http://www.scopus.com/inward/record.url?scp=85124027942&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/2092/1/012007

DO - 10.1088/1742-6596/2092/1/012007

M3 - Conference article

AN - SCOPUS:85124027942

VL - 2092

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012007

T2 - 11th International Scientific Conference and Young Scientist School on Theory and Computational Methods for Inverse and Ill-posed Problems

Y2 - 26 August 2019 through 4 September 2019

ER -

ID: 35428111