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

Результат исследования: Научные публикации в периодических изданияхстатья по материалам конференциирецензирование

Аннотация

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.

Язык оригиналаанглийский
Номер статьи012007
ЖурналJournal of Physics: Conference Series
Том2092
Номер выпуска1
DOI
СостояниеОпубликовано - 20 дек 2021
Событие11th International Scientific Conference and Young Scientist School on Theory and Computational Methods for Inverse and Ill-posed Problems - Novosibirsk, Российская Федерация
Продолжительность: 26 авг 20194 сен 2019

Предметные области OECD FOS+WOS

  • 1.03 ФИЗИЧЕСКИЕ НАУКИ И АСТРОНОМИЯ

Fingerprint

Подробные сведения о темах исследования «A minimization problem for the sum of weighted convolutions' difference and a novel approach to the inverse problem of ECG- and PPG-signals recovering». Вместе они формируют уникальный семантический отпечаток (fingerprint).

Цитировать