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

A. Kel'Manov, S. Khamidullin, L. Mikhailova, P. Ruzankin

Research output: Contribution to journalConference articlepeer-review

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.

Original languageEnglish
Article number012007
JournalJournal of Physics: Conference Series
Volume2092
Issue number1
DOIs
Publication statusPublished - 20 Dec 2021
Event11th International Scientific Conference and Young Scientist School on Theory and Computational Methods for Inverse and Ill-posed Problems - Novosibirsk, Russian Federation
Duration: 26 Aug 20194 Sep 2019

OECD FOS+WOS

  • 1.03 PHYSICAL SCIENCES AND ASTRONOMY

Fingerprint

Dive into the research topics of 'A minimization problem for the sum of weighted convolutions' difference and a novel approach to the inverse problem of ECG- and PPG-signals recovering'. Together they form a unique fingerprint.

Cite this