Method of evaluating the rhythm structure of a cyclic signal through defining the additional countdowns of a discrete function of rhythm

Authors

  • I.V. Lytvynenko

Keywords:

a cyclic signal, rhythmic structure, evaluation of the rhythm function, segmental cyclic structure, segmental zone structure, segmentation.

Abstract

The method of evaluation of additional countdowns of a discrete function of rhythm is being considered by taking into account single-phase values of the countdowns of the simulated cyclic signal, which is rhythmically related to the studied one. Considering the equality of the attributes of cyclicity, additional isomorphic countdowns are chosen in a simulated cyclic signal at all segment-cycles and segment-zones. Then the rhythmic structure is evaluated taking into account the defined additional countdowns. The obtained additional countdowns of the rhythmic structure provide the possibility to evaluate the behaviour of a discrete rhythm function between the countdowns’ limits of the segmental structure.
The developed method can be used in automated digital processing systems (of diagnostics and forecasting) of cyclic data: cardiac signals of different physical nature, cyclical economic processes, processes of gas, water and power consumption, processes of surface formations of modern materials for evaluating the countdowns of the rhythmic structure that provides the information relating to the rhythm (pace) escalation in time of the magnitude of time intervals (distances) between single-phase
values of the cyclic signal.
The developed method allows solving the problem of evaluating the countdowns of the rhythmic structure through obtaining a rhythmically coupled cyclic signal from a simulated implementation with the initial, studied additional countdowns that correspond to single-phase values in all segments of the cyclic signal. In further research, it is planned to use the obtained information for developing a method for choosing an optimal interpolation polynomial for adaptive interpolation of a discrete function of rhythm on the corresponding segment-cycles or segment-zones.

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References

Lupenko, S 2006, ‘Features of discretization of

cyclic functions’, Measuring and computer technology in

technological processes, no.1, pp. 64–70. [in Ukrainian].

Lytvynenko, Ia 2006, ‘Methods of statistical

processing of heart signals based on their model in the form of

a cyclic random process with zone temporal structure’,

Bulletin of the Ternopil State Technical University Ternopil,

vol. 11, no. 4, pp. 189–200. [in Ukrainian].

Lytvynenko, Ia 2011, ‘Imitation modeling of

interconnected economic processes on the basis of the vector

of cyclic rhythmically related random processes’, Electronics

and control systems, no. 2 (28), pp. 133–141. [in Ukrainian].

Lupenko, S 2007, ‘The task of interpolation of the

rhythm function of a cyclic function with a known zone

structure’, Electronics and Control Systems, no. 2 (12),

pp. 27–35. [in Ukrainian].

Lytvynenko, Ia 2016, ‘The Method of the Quadratic

Interpolation of the Discrete Rhythm Function of the Cyclical

Signal With A Defined Segmented Structure’, Scientific

Journal of the Ternopil National Technical University,

vol. 84, no. 4, pp. 131–138. [in Ukrainian].

Lytvynenko, Ia 2017, ‘The Method of Interpolation

by a Cubic Spline of a Discrete Function of the Rhythm of a

Cyclic Signal with a Definite Segmental Structure’,

Measuring and computing engineering in technological

processes, no. 3, pp. 105–112. [in Ukrainian].

Lupenko, S 2006, Theoretical bases of modeling and

processing of cyclic signals in information systems:

Monograph, Lviv , 343 pp. [in Ukrainian].

Lytvynenko, Ia 2016, ‘The Problem of Segmentation

of the Cyclic Random Process with a Segmental Structure and

the Approaches to Its Solving’, Journal of Hydrocarbon

Power Engineering, vol. 3, iss. 1, pp. 30–37.

Lytvynenko, Ia 2005, ‘Statistical method for

determining the zone structure of an electro cardiogram in

automated diagnostic systems’, Bulletin of the Ternopil State

Technical University Ternopil, vol. 10, no. 3, pp. 165–175.

[in Ukrainian].

Lytvynenko, Ia 2018, ‘Method of segmentation of

determined cyclic signals for the problems related to their

processing and modeling’, Scientific Journal of the Ternopil

National Technical University, vol. 88, nNo. 4, pp. 153–169.

[in Ukrainian].

Lytvynenko, Ia 2009, ‘Simulation of synchronously

registered heart signals on the basis of a vector of cyclic

rhythmically related random processes in cardiometric

problems’, Electronics and control systems., no. 4 (22),

pp. 141–148. [in Ukrainian].

Published

2018-12-13

How to Cite

Lytvynenko, I. (2018). Method of evaluating the rhythm structure of a cyclic signal through defining the additional countdowns of a discrete function of rhythm. JOURNAL OF HYDROCARBON POWER ENGINEERING, 5(1), 32–38. Retrieved from https://ogpe.nung.edu.ua/index.php/jhpe/article/view/79

Issue

Section

OIL AND GAS MEASUREMENT AND TESTING