Skip to main content
SpringerLink
Log in

Concepts of scaling and fractal dimension in the design of a fractal detector of radio signals

  • Theory and Methods of Signal Processing
  • Published:
Journal of Communications Technology and Electronics Aims and scope Submit manuscript

Abstract

Concepts of hardware implementation of fractal nonparametric detectors of radar signals (FNDRSs) are analyzed. The structure of the first FNDRS prototype is determined on the basis of concepts of sample topology and fractal signatures. Experiments in which frequency and time scalings are used for detection of sinusoidal and pulsed signals in the presence of additive noises and interferences on the basis of a 1D sample are conducted with the FNDRS prototype. Probabilities of correct detection are calculated and the classic accumulation mode is compared with the new method of fractal filtering. The studies are conducted as part of program “Fractal Radio Systems Designed for Different Purposes and Fractal Components” proposed by and developed at the Institute of Radio Engineering and Electronics (IREE) of the Russian Academy of Sciences.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. F. Dyson, E. Montroll, M. Kac, and M. Fisher, Stability and Phase Transitions (Mir, Moscow, 1973) [in Russian].

    Google Scholar 

  2. A. Z. Patashinskii and V. L. Pokrovskii, Fluctuation Theory of Phase Transitions (Nauka, Moscow, 1982) [in Russian].

    Google Scholar 

  3. A. A. Potapov, Fractals in Radiophysics and Radar (Logos, Moscow, 2002) [in Russian].

    Google Scholar 

  4. A. A. Potapov, Fractals in Radiophysics and Radar: Topology of Sampling (Universitetskaya Kniga, Moscow, 2005) [in Russian].

    Google Scholar 

  5. A. A. Potapov and V. A. German, Pattern Recogn. Image Anal. 8, 226 (1998).

    Google Scholar 

  6. A. A. Potapov and V. A. German, Radiotekh. Elektron. (Moscow) 45, 946 (2000) [J. Commun. Technol. Electron. 45, 853 (2000)].

    Google Scholar 

  7. F. Bardu, J.-Ph. Bouchaud, A. Aspect, and C. Cohen-Tannoudji, Lévy Statistics and Laser Cooling: How Rare Events Bring Atoms to Rest (Cambridge Univ. Press, New York, 2002; Fizmatlit, Moscow, 2006).

    Google Scholar 

  8. Yu. V. Gulyaev, S. A. Nikitov, A. A. Potapov, and A. G. Davydov, Radiotekh. Elektron. (Moscow) 50, 1070 (2005) [J. Commun. Technol. Electron. 50, 988 (2005)].

    Google Scholar 

  9. Yu. V. Gulyaev, S. A. Nikitov, A. A. Potapov, et al., in Applied Radio Electronics: State and Views of Evolution (Proc. 2nd Int. Radioelectronic Forum: MRF-2005, Kharkov, Ukraine, Sept. 19–23, 2005) (KhNURE, Kharkov, 2005), Vol. 5, p. 29.

    Google Scholar 

  10. A. P. Reutov, A. A. Potapov, S. N. Zamuruev, et al., in Radiation and Scattering of Electromagnetic Waves: IREMV-2005 (Proc. Int. Sci. Conf. Dedicated to the Radio Day, Taganrog, Russia, 2005) (Taganrog Radiotekh. Univ., Taganrog, 2005), p. 24.

    Google Scholar 

  11. Potapov A.A., in Proc. 28th ESA Antenna Workshop on Space Antenna Systems and Technologies, May 31–June 3, 2005 (ESA/ESTEC Noordwijk, The Netherlands, 2005), Pt. 2, p. 1047.

    Google Scholar 

  12. Yu. V. Gulyaev, S. A. Nikitov, A. A. Potapov, and A. P. Reutov, in Fractals and Applied Synergetics: FIPS-05 (Proc. IV Int. Interdisciplinary Symp., Moscow, Russia, Nov. 14–17, 2005) (Interkontakt-Nauka, IMET RAN, Moscow, 2005), p. 70.

    Google Scholar 

  13. A. A. Potapov, in Mode Conversion, Coherent Structures and Turbulence: MSS-04 (Pros. Int. Conf. Russia, Moscow, November 23–25, 2004) (IKI RAN, Moscow, 2004), p. 508.

    Google Scholar 

  14. A. A. Potapov, E. M. Il’in, E. P. Chigin, et al., in Radiolocation, Navigation, and Communications: RLNC-2005 (Proc. XI Int. Sci. Eng. Conf., Voronezh, Russia, April 12–14, 2005) (NPF Sakvoee, Voronezh, 2005), Vol. 3, p. 1724.

    Google Scholar 

  15. A. A. Potapov and V. A. German, Radiotekh. Elektron. (Moscow) 49(12), 1468 (2004) [J. Commun. Technol. Electron. 49, 1370 (2004)].

    Google Scholar 

  16. Potapov A.A. and German V.A., in Automation, Control and Information Technology: ACIT-2005 (Proc. 2nd IASTED Int. Multi-Conf., Russia, Novosibirsk, June 20–24, 2005) (IAE SB RAS, Novosibirsk, 2005), Vol. ASIT-SIP, p. 60.

    Google Scholar 

  17. A. A. Potapov, V. V. Bulavkin, V. A. German, and O. F. Vyacheslavova, Zh. Tekh. Fiz. 75(5), 28 (2005) [Tech. Phys. 50, 560 (2005)].

    Google Scholar 

  18. A. A. Potapov, Radiotekhnika, No. 8, 73 (2005).

  19. A. A. Potapov, in Application of Artificial Intelligence Methods and High-Performance Computations in Aerospace Research (Proc. 3rd Extended Workshop, Pereslavl’-Zalesskii, Russia, Nov. 26–27, 2003) (Fizmatlit, Moscow, 2003), p. 76.

    Google Scholar 

  20. A. A. Potapov, V. A. German, and V. A. Potapov, in Fundamental and Applied Problems of Modern Physics (Proc. Moscow Conf. within the Demidov Readings Russian Sci. Forum, Moscow, Feb. 25–28, 2006) (Fiz. Inst. im. P. N. Lebedeva RAN, Moscow, 2006), p. 132.

    Google Scholar 

  21. A. A. Potapov and V. A. German, Radiotekhnika, No. 5, 30 (2006).

Download references

Authors
  1. Yu. V. Gulyaev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. A. Nikitov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. A. Potapov
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. V. A. German
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © Yu.V. Gulyaev, S.A. Nikitov, A.A. Potapov, V.A. German, 2006, published in Radiotekhnika i Elektronika, 2006, Vol. 51, No. 8, pp. 968–975.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gulyaev, Y.V., Nikitov, S.A., Potapov, A.A. et al. Concepts of scaling and fractal dimension in the design of a fractal detector of radio signals. J. Commun. Technol. Electron. 51, 909–916 (2006). https://doi.org/10.1134/S1064226906080079

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064226906080079

PACS numbers

Search

Navigation