<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Cyclic Linear Random Process As A Mathematical Model Of Cyclic Signals

Ternopil Ivan Pul’uj National Technical University,46001, Ruska str. 56, Ternopil, Ukraine.

French Institute of Advanced Mechanics, Institut Pascal / UBP / IFMA / CNRS / Clermont Université, BP 265, 63175 Aubière CEDEX, France.

Acta Mechanica et Automatica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Cyclic Linear Random Process As A Mathematical Model Of Cyclic Signals"}

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...

Cyclic Linear Random Process As A Mathematical Model Of Cyclic Signals

Published Online: Dec 30, 2015

Page range: 219 - 224

Received: Apr 21, 2015

Accepted: Dec 14, 2015

DOI: https://doi.org/10.1515/ama-2015-0035

Keywords
Linear Cyclic Random Process, Mathematical Model, Rhythm Function, Factorized Kernel

© 2015 Bialystok University of Technology

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Cyclic Linear Random Process As A Mathematical Model Of Cyclic Signals

Published Online: Dec 30, 2015

Page range: 219 - 224

Received: Apr 21, 2015

Accepted: Dec 14, 2015

DOI: https://doi.org/10.1515/ama-2015-0035

KeywordsLinear Cyclic Random Process, Mathematical Model, Rhythm Function, Factorized Kernel

© 2015 Bialystok University of Technology

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Linear Cyclic Random Process, Mathematical Model, Rhythm Function, Factorized Kernel