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Title

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

  Rashel Abu Hakmeh 1 *

1  Faculty of Science, Mutah University, Jordan
    (Hakmehmath321@gmail.com)


Doi   :   https://doi.org/10.54216/GJMSA.080203

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.


Cite this Article as :
Style #
MLA Rashel Abu Hakmeh. "Stationary Factor of Non-Stationary Random Process Based on Differential Transformation." Galoitica: Journal of Mathematical Structures and Applications, Vol. 8, No. 2, 2023 ,PP. 29-33 (Doi   :  https://doi.org/10.54216/GJMSA.080203)
APA Rashel Abu Hakmeh. (2023). Stationary Factor of Non-Stationary Random Process Based on Differential Transformation. Journal of Galoitica: Journal of Mathematical Structures and Applications, 8 ( 2 ), 29-33 (Doi   :  https://doi.org/10.54216/GJMSA.080203)
Chicago Rashel Abu Hakmeh. "Stationary Factor of Non-Stationary Random Process Based on Differential Transformation." Journal of Galoitica: Journal of Mathematical Structures and Applications, 8 no. 2 (2023): 29-33 (Doi   :  https://doi.org/10.54216/GJMSA.080203)
Harvard Rashel Abu Hakmeh. (2023). Stationary Factor of Non-Stationary Random Process Based on Differential Transformation. Journal of Galoitica: Journal of Mathematical Structures and Applications, 8 ( 2 ), 29-33 (Doi   :  https://doi.org/10.54216/GJMSA.080203)
Vancouver Rashel Abu Hakmeh. Stationary Factor of Non-Stationary Random Process Based on Differential Transformation. Journal of Galoitica: Journal of Mathematical Structures and Applications, (2023); 8 ( 2 ): 29-33 (Doi   :  https://doi.org/10.54216/GJMSA.080203)
IEEE Rashel Abu Hakmeh, Stationary Factor of Non-Stationary Random Process Based on Differential Transformation, Journal of Galoitica: Journal of Mathematical Structures and Applications, Vol. 8 , No. 2 , (2023) : 29-33 (Doi   :  https://doi.org/10.54216/GJMSA.080203)