Cyclic Linear Random Process As A Mathematical Model Of Cyclic Signals

Sergiy Lupenko; Nadiia Lutsyk; Yuri Lapusta

doi:10.1515/ama-2015-0035

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Cyclic Linear Random Process As A Mathematical Model Of Cyclic Signals

Acta Mechanica et Automatica

Volume 9 (2015): Issue 4 (December 2015)

By: Sergiy Lupenko, Nadiia Lutsyk and Yuri Lapusta

Open Access

|Dec 2015

Abstract

In this study the cyclic linear random process is defined, that combines the properties of linear random process and cyclic random process. This expands the possibility describing cyclic signals and processes within the framework of linear random processes theory and generalizes their known mathematical model as a linear periodic random process. The conditions for the kernel are given and the probabilistic characteristics of generated process of linear random process in order to be a cyclic random process. The advantages of the cyclic linear random process are presented. It can be used as the mathematical model of the cyclic stochastic signals and processes in various fields of science and technology.

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Articles in this issue

DOI: https://doi.org/10.1515/ama-2015-0035 | Journal eISSN: 2300-5319 | Journal ISSN: 1898-4088

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Language: English

Page range: 219 - 224

Submitted on: Apr 21, 2015

Accepted on: Dec 14, 2015

Published on: Dec 30, 2015

Published by: Bialystok University of Technology

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

Linear Cyclic Random Process,

Related subjects:

Electrical engineering,

Electronics,

Mechanical engineering,

Mechanics,

Bioengineering and biomedical engineering,

Biomechanics,

Civil engineering,

Environmental engineering

© 2015 Sergiy Lupenko, Nadiia Lutsyk, Yuri Lapusta, published by Bialystok University of Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 9 (2015): Issue 4 (December 2015)