Determination of probabilistic characteristics of random values of estimates of the Lyapunov function when describing a physical process-Reference-Cited by-同舟云学术

Determination of probabilistic characteristics of random values of estimates of the Lyapunov function when describing a physical process

Published:2021-12-15 Issue:4 Volume: Page:53-67
ISSN:2712-9071
Container-title:Metrologiya
language:
Short-container-title:jour

Author:

Veshkurtsev Yu. M.¹,Titov D. A.²^ORCID

Affiliation:

1. Institute of Radioelectronics, service and diagnostics

2. Omsk State Technical University

Abstract

The applied application of the Lyapunov characteristic function is determined by the properties of its estimates. Probabilistic characteristics of estimates of the Lyapunov characteristic function are described for the first time. The probabilistic characteristics of random values of estimates of the Lyapunov function are empirically estimated using statistical methods. The Matlab package has developed a model of a special device for obtaining estimates of the characteristic function by a direct method. A quasi-deterministic signal is fed to the input of the model, the instantaneous values of which are distributed according to the arcsine law, and an array of values of estimates of the Lyapunov function is obtained at the output, which is used to estimate the probabilistic characteristics of these estimates. Statistical estimation was performed by an indirect method. It is established that the values of the estimates of the Lyapunov characteristic function are distributed according to the normal law. The results of the research will be useful in engineering calculations, for example, when detecting message transmission errors in modems with a modulated characteristic function.

Publisher

FSUE VNIIMS All-Russian Research Institute of Metrological Service

Subject

General Earth and Planetary Sciences,Water Science and Technology,Geography, Planning and Development

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