Galoitica: Journal of Mathematical Structures and Applications

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https://doi.org/10.54216/GJSMA

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Galoitica: Journal of Mathematical Structures and Applications

Volume 8 , Issue 2 , PP: 29-33, 2023 | Cite this article as | XML | Html | PDF

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 :
    Rashel Abu Hakmeh. "Stationary Factor of Non-Stationary Random Process Based on Differential Transformation." Full Length Article, Vol. 8, No. 2, 2023 ,PP. 29-33 (Doi   :  https://doi.org/10.54216/GJMSA.080203)
    Rashel Abu Hakmeh. (2023). Stationary Factor of Non-Stationary Random Process Based on Differential Transformation. Journal of , 8 ( 2 ), 29-33 (Doi   :  https://doi.org/10.54216/GJMSA.080203)
    Rashel Abu Hakmeh. "Stationary Factor of Non-Stationary Random Process Based on Differential Transformation." Journal of , 8 no. 2 (2023): 29-33 (Doi   :  https://doi.org/10.54216/GJMSA.080203)
    Rashel Abu Hakmeh. (2023). Stationary Factor of Non-Stationary Random Process Based on Differential Transformation. Journal of , 8 ( 2 ), 29-33 (Doi   :  https://doi.org/10.54216/GJMSA.080203)
    Rashel Abu Hakmeh. Stationary Factor of Non-Stationary Random Process Based on Differential Transformation. Journal of , (2023); 8 ( 2 ): 29-33 (Doi   :  https://doi.org/10.54216/GJMSA.080203)
    Rashel Abu Hakmeh, Stationary Factor of Non-Stationary Random Process Based on Differential Transformation, Journal of , Vol. 8 , No. 2 , (2023) : 29-33 (Doi   :  https://doi.org/10.54216/GJMSA.080203)