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Galoitica: Journal of Mathematical Structures and Applications

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Online: 2834-5568
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Galoitica: Journal of Mathematical Structures and Applications
Full Length Article

Volume 8Issue 2PP: 29-33 • 2023

Stationary Factor of Non-Stationary Random Process Based on Differential Transformation

Rashel Abu Hakmeh 1*
1Faculty of Science, Mutah University, Jordan
* Corresponding Author.
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© 2023 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: April 09, 2023 Revised: July 06, 2023 Accepted: October 03, 2023

Abstract

This research studies the deviation of the output signal from stationary state by calculating stationary factor in differential filter with constant and non-stochastic coefficients, a stationary process is applied on its input. We show that this deviation is related to the degree of transformation the study range length and the form of a correlation function of the process applied on the input and the special solution of the equation LY=X and its correlation or un-correlation with that process.

Keywords

Differential operator stationary process stable process linear

References

[1] LIVSIC M. S. , IANCEWICH A. A. Theory of operator colligation in Hilbert Space, J. Wiley N.Y, 1979.

[2] NIEMI N. On the linear pre diction problem of certain non-stationary Scand. 1976. 39 p 146-160.

[3] RAZANOV, J. A., Stationary Random processes. Femmagist, Moscow 1963; English Transl., Holden-Day, Sanfracisco, California,1967. MR28. N2580, N 4985.

[4] KAMENSKI, M.; PERGAMECHTCHIKOV, S.; QUINCAMPO, M. Second order differential equation with random perturbations and small parameters, CUP, 2017, 147, pp.763-779.

[5] WIJEWARDENA, K; GAMALATH, L. Introduction to green functions in physics, Alpha Science ,2019.

[6] Jouja Ghada - About Unstoppable Sequences in Hilbert Space - Indicator of Unstoppable Limits - Jamia Journal - Al al-Bayt University - Amman - Jordan for the year 2004.

[7] Корен Г. ,курен Т. ;справочник по математике издание пятое москква «Наука» 1984.

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Hakmeh, Rashel Abu. "Stationary Factor of Non-Stationary Random Process Based on Differential Transformation." Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 8, no. Issue 2, 2023, pp. 29-33. DOI: https://doi.org/10.54216/GJMSA.080203
Hakmeh, R. (2023). Stationary Factor of Non-Stationary Random Process Based on Differential Transformation. Galoitica: Journal of Mathematical Structures and Applications, Volume 8(Issue 2), 29-33. DOI: https://doi.org/10.54216/GJMSA.080203
Hakmeh, Rashel Abu. "Stationary Factor of Non-Stationary Random Process Based on Differential Transformation." Galoitica: Journal of Mathematical Structures and Applications Volume 8, no. Issue 2 (2023): 29-33. DOI: https://doi.org/10.54216/GJMSA.080203
Hakmeh, R. (2023) 'Stationary Factor of Non-Stationary Random Process Based on Differential Transformation', Galoitica: Journal of Mathematical Structures and Applications, Volume 8(Issue 2), pp. 29-33. DOI: https://doi.org/10.54216/GJMSA.080203
Hakmeh R. Stationary Factor of Non-Stationary Random Process Based on Differential Transformation. Galoitica: Journal of Mathematical Structures and Applications. 2023;Volume 8(Issue 2):29-33. DOI: https://doi.org/10.54216/GJMSA.080203
R. Hakmeh, "Stationary Factor of Non-Stationary Random Process Based on Differential Transformation," Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 8, no. Issue 2, pp. 29-33, 2023. DOI: https://doi.org/10.54216/GJMSA.080203
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