Matlab ECG signal model based on frequency transformation

Shyshkin, М. А.; Butova, Olha; Fetiukhina, Liudmyla; Akhiiezer, Оlena; Dunaievska, Olha

doi:10.20998/2413-4295.2018.26.20

Cited by 3 publications

(2 citation statements)

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“…The temporary indices of artificial ECG series, generated using the developed mathematical model [27], are comparable to those of real ECG series with the same spectral characteristics, therefore the obtained models on this criterion can be considered substantial and adequate.…”

Section: T Y T T Y T Y T K T T X T T X T X T Y Tmentioning

confidence: 92%

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Use of Triangular Models of Non-Stationary Processes in Modeling Variability of Heart Rhythm

Akhiiezer

Dunaievska

Shyshkin

et al. 2019

Innovative Technologies and Scientific Solutions for Industries

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The subject matter is a mathematical model describing the process of heart rhythm variability, which is based on the use of triangular models of non-stationary random processes in the Hilbert space. The goal of the research is to develop a mathematical model of nonstationary processes of cardiac activity based on a triangular model. This research was the basis for the development of a Matlab model that implements the proposed method for analyzing heart rate variability. Tasks are: to give a description of the variability heart rate as a non-stationary process in Hilbert space in terms of correlation functions; to research the possibility of constructing a correlation and spectral theory of a non-stationary process using triangular models; to synthesize the mathematical model of nonstationary process on the basis of correlation theory for solving mathematical processing and forecasting tasks on the basis of ECG data. Using the proposed mathematical method, we implemented the Matlab model of a heart signal generator, which allowed us to synthesize an ECG with different variability parameters in noisy conditions. Methods of mathematical statistics, simulation modeling, theory of random processes and control theory are used in this work. Results of this research are as follows: 1) It has been shown that the new approach to the description of the HRV as a random process in the application of the triangular model in the Hilbert space made it possible to obtain expressions for the correlation function. 2) The imitation simulation showed the sensitivity of the method within the 5% error rate under the conditions of different types of influence on HRV. The qualitative assessment of the possibilities of the proposed models to generate artificial ECG provided the possibility of visual analysis by the cardiologist of the identity of the interpretation of real ECG records. The identities of modeling results were checked on time samples of electrocardiographs of 7 patients from open PhysioNet cardiographic libraries on samples with the duration T = 10 s. 3) The standard low-frequency oscillations and "white noise" barrier are clearly differentiated on the applied correlation function by the distribution of spectral density power within the frequency range of 0,15-0,3 Hz. Conclusion. The simulation results confirmed the correctness of the theoretical conclusions about the possibility of using models based on the representation of non-stationary processes in a triangular Hilbert space.

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Section: T Y T T Y T Y T K T T X T T X T X T Y Tmentioning

confidence: 92%

“…Thus, each random process ξ(t) can be arbitrarily well approximated by a linear combination of harmonic oscillations. The random stationary processes of general form are obtained by considering the linear combinations of the processes of the type (27).…”

Section: Determination Of the Correlation Function Of The Random Processmentioning

confidence: 99%