Skip to main content
Log in

Application of m-Connected Sequences for Modeling Noise Processes

  • Published:
Radiophysics and Quantum Electronics Aims and scope

Abstract

An algorithm for developing numerical m-connected Markov sequences is used as the basis for synthesizing time series with statistical, correlation, and spectral characteristics corresponding to three types of widely used fluctuation processes: shot noise, generation-recombination noise, and 1/fγ noise. The proposed model can give rise to the development of a unified approach to consideration of fluctuation processes with different properties. We consider the 1/fγ-noise simulation in detail and describe an empirical dependence of the coefficient γ for 1/f noise on the model parameters. Numerical results are compared with experimental data to show good agreement between the model and actual noise processes with respect to some characteristics.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. H. B. Callen and T. A. Welton, Phys. Rev., 83, No. 1, 34 (1951).

    Google Scholar 

  2. R. Z. Bakhtizin, S. S. Ghots, and R. G. Il'yasov, Poverkhnost', No. 4, 54 (1984).

  3. V. A. Kolemaev, O. V. Staroverov, and V. B. Turundaevskii, Probability Theory and Mathematical Statistics [in Russian], Vysshaya Shkola, Moscow (1991).

    Google Scholar 

  4. F. G. Hooge, in: Noise in Physical Systems and 1/f Fluctuation, Palanga, Lithuania (1995), p. 8.

  5. S. V. Makarov et al., Izv. Vyssh. Uchebn. Zaved., Radiofiz., 42, No. 3, 278 (1999).

    Google Scholar 

  6. A. Modinos, Auto-, Thermo-, and Secondary-Electronic Emission Spectroscopy [Russian translation], Nauka, Moscow (1990).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gallyamov, R.R., Ghots, S.S. & Bakhtizin, R.Z. Application of m-Connected Sequences for Modeling Noise Processes. Radiophysics and Quantum Electronics 44, 332–338 (2001). https://doi.org/10.1023/A:1010426305226

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1010426305226

Keywords

Navigation