Abstract
A relationship is found between the power spectral density of flicker noise and the Riemann-Liouville fractional derivative. It is shown that systems with a flicker-type noise spectrum allow for calculating the fractional derivative of a stationary stochastic process. The results obtained can be used to simulate flicker noise in electronic circuits. The method is implemented with the Pspice code for circuit simulation.
This is a preview of subscription content, log in via an institution to check access.
References
S. F. Timashev, in Proceedings of the Scientific-Technical Seminar on Noise and Degradation in Semiconductor Devices (MNTORÉS im. A. S. Popova, Moscow, 1999), pp. 239–260.
J. Feder, Fractals (Plenum, New York, 1988; Mir, Moscow, 1991).
A. M. Nakhushev, Fractional Calculus and Its Applications (Fizmatlit, Moscow, 2003) [in Russian].
S. G. Samko, A. A. Kilbas, and O. I. Marichev, Fractional Integrals and Derivatives: Theory and Applications (Nauka i Technika, Minsk, 1987; Gordon and Breach, Amsterdam, 1993).
V. P. Koverda and V. N. Skokov, Zh. Tekh. Fiz. 70(10), 135 (2000) [Tech. Phys. 45, 1231 (2000)].
U. Tietze and Ch. Schenk, Electronic Circuit Design and Application (Springer, New York, 1991; Mir. Moscow, 1982).
S. M. Rytov, Introduction to Statistical Radio Physics (Nauka, Moscow, 1966) [in Russian].
V. D. Razevig, Application of the P-CAD and PSpice Computer Circuit Simulators (Radio i Svyaz’, Moscow, 1992), Issues 2 and 3 [in Russian].
Author information
Authors and Affiliations
Additional information
Original Russian Text © S.Sh. Rekhviashvili, 2006, published in Zhurnal Tekhnicheskoĭ Fiziki, 2006, Vol. 76, No. 6, pp. 123–126.
Rights and permissions
About this article
Cite this article
Rekhviashvili, S.S. Simulation of flicker noise by fractional integro-differentiation. Tech. Phys. 51, 803–805 (2006). https://doi.org/10.1134/S1063784206060181
Received:
Issue Date:
DOI: https://doi.org/10.1134/S1063784206060181