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

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.