Time Series Analysis Using Fractal and Multifractal Methods

Gospodinova, Еvgeniya

doi:10.1145/3345252.3345265

Cited by 6 publications

(5 citation statements)

References 18 publications

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“…Сериозните игри за симулации на стресови ситуации не трябва да са твърде екстремални, за да може изследването да се извърши за по-продължително време, като се регистрират RR (PP) интервални серии, чрез електрокардиографско, фотоплетизмографско [20,21] или холтерно устройство [22]. Генерираните сигнали се анализират чрез математически методи [25,26], след което се прави сравнителен анализ между получените резултати от приложената стресова ситуация с резултатите получени в състояние на покой. От направения сравнителен анализ се прави оценка на ВСЧ.…”

Section: сериозни игри и всчunclassified

Analysis of Methods and Approaches for Evaluation of Heart Rate Variability

Lebamovski¹

2022

STEM

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This article analyses methods and approaches for assessing heart rate variability (HRV). One of the approaches is to study the impact of sports, in particular running athletics on HRV. As a result of the research, it was found that sports increase HRV by increasing the sympathetic share. The HRV method is influenced by various factors: diseases, external factors, physiological and lifestyle factors. Those that influence the athletic achievements of athletes are also considered. The impact of stress on HRV can be studied by creating 3D serious games to simulate various stressful situations and to study their impact on HRV. The article presents virtual reality systems, which are of two types: with immersion and without immersion and their application in the study of HRV. It follows from the analysis that the level of sympathetic tone in the analysis of HRV using virtual reality depends on the degree of immersion. Another approach to assessing HRV is to monitor patients at night to determine parasympathetic tone of the autonomic nervous system. For the accurate analysis of HRV, the mathematical methods used are important, which are mainly divided into linear and nonlinear. Spectral analysis is an example of linear, and Poincarè plot is nonlinear.

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Section: сериозни игри и всчunclassified

Analysis of Methods and Approaches for Evaluation of Heart Rate Variability

Lebamovski¹

2022

STEM

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“…Изследването на вариабилността на сърдечната честота върху ЕКГ и хотерни данни, както и средства за регистриране на сърдечната дейност, са обект на изследване в редица научни публикации [10,11,12].…”

Section: вариабилност на сърдечната честотаunclassified

Application of Linear Methods for Analysis of Heart Rate Variability

Georgieva-Tsaneva¹

2020

STEM

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“…and external factors (e.g., temperature). The fractal theory, proposed by Mandelbrot in 1975, is an important tool for revealing the global and local structural peculiarities of time series in complex systems and has been widely applied in economics, physiology, meteorology, geology, and other disciplines. The monofractal manifests as the similarity between local and overall signals, i.e., self-similarity, whereas the multifractal is the spatial entanglement of several monofractal, which is the extension of monofractal .…”

Section: Introductionmentioning

confidence: 99%

“…The monofractal manifests as the similarity between local and overall signals, i.e., self-similarity, whereas the multifractal is the spatial entanglement of several monofractal, which is the extension of monofractal . A wide range of complex time series has been quantitatively characterized using monofractal and multifractal theories. − ,− Based on the multifractal detrended fluctuation analysis, Yan et al found that China’s over-the-counter stock market liquidity exhibits sustainability, long-range memory, and lower complexity than the large-cap market liquidity . Telesca et al studied the wind speed time series in Switzerland from the viewpoint of multifractal detrended fluctuation and revealed the multifractality at larger time scales and the monofractality at smaller time scales .…”

Section: Introductionmentioning

confidence: 99%