Skip to main content
SpringerLink
Log in

Constant false-alarm rate energy detection of a signal with unknown amplitude and waveform in the presence of a Gaussian interference with unknown variance

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

Abstract

A detector of signals with unknown amplitude and waveform in the presence of a Gaussian noise with unknown variance is analyzed. It is shown that the statistics at the detector output is described by the generalized F-distribution. Numerical calculation of the detector’s performance characteristics is performed.

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. M. K. Simon, J. K. Omura, R. A. Scholtz, and B. K. Levitt, Spread Spectrum Communications Handbook (McGraw-Hill, New York, 2002).

    Google Scholar 

  2. J. K. Holmes, Spread Spectrum Systems for GNSS and Wireless Communication (Artech House, Norwood, 2007).

    Google Scholar 

  3. V. I. Borisov, V. M. Zinchuk, A. E. Limarev, et al., Interference Protection of Radio-Communication Systems with Spreading of the Signal Spectrum via Modulation of the Carrier Frequency by a Pseudorandom Sequence (Radio i Svyaz’, Moscow, 2003) [in Russian].

    Google Scholar 

  4. C. W. Helstrom, Statistical Theory of Signal Detection (Pergamon, Oxford, 1968).

    Google Scholar 

  5. H. L. Van Trees, Detection, Estimation and Modulation Theory, Part 1: Detection, Estimation, and Linear Modulation Theory; Part 3: Radar-Sonar Signal Processing and Gaussian Signals in Noise (Wiley, New York, 1968–1970; Sovetskoe Radio, Moscow, 1972–1977).

    Google Scholar 

  6. Yu. G. Sosulin, Detection and Estimation Theory for Stochastic Signals (Sovetskoe Radio, Moscow, 1978) [in Russian].

    Google Scholar 

  7. B. R. Levin, Theoretical Principles of Statistical Radio Engineering (Radio i Svyaz’, Moscow, 1989) [in Russian].

    Google Scholar 

  8. P. S. Akimov, P. A. Bakut, V. A. Bogdanovich, et al., Signal Detection Theory, Ed. by P. A. Bakut (Radio i Svyaz’, Moscow, 1984) [in Russian].

    Google Scholar 

  9. P. S. Akimov, F. F. Evstratov, S. I. Zakharov, et al., Detection of Radio Signals, Ed. by A. A. Kolosov (Radio i Svyaz’, Moscow, 1989) [in Russian].

    Google Scholar 

  10. P. A. Bakulev, Yu. A. Basistov, and V. G. Tugushi, Izv. Vyssh. Uchebn. Zaved., Radioelektron. 32(4), 4 (1989).

    Google Scholar 

  11. J. A. Ritcey and J. L. Hines, IEEE Trans. Aerosp. Electron. Syst. 27, 48 (1991).

    Article  Google Scholar 

  12. B. O. Stenson, IEEE Trans. Aerosp. Electron. Syst. 4, 529 (1968).

    Article  Google Scholar 

  13. H. M. Finn and R. S. Johnson, RCA Rev. 30, 414 (1968).

    Google Scholar 

  14. R. Nitzberg, IEEE Trans. Aerosp. Electron. Syst. 8, 27 (1972).

    Article  Google Scholar 

  15. R. Nitzberg, IEEE Trans. Aerosp. Electron. Syst. 9, 399 (1973).

    Article  Google Scholar 

  16. L. L. Scharf and D. W. Lytle, IEEE Trans. Inf. Theory 17, 401 (1971).

    Article  Google Scholar 

  17. E. L. Lehmann, Testing Statistical Hypotheses (Wiley, New York, 1959; Nauka, Moscow, 1979).

    MATH  Google Scholar 

  18. P. G. Grieve, IEEE Trans. Inf. Theory 23, 708 (1977).

    Article  MATH  Google Scholar 

  19. Nonparametric Methods in Communications, Ed. by P. Papantoni-Kazakos and D. Kazakos (Marcel Dekker, New York, 1977).

    Google Scholar 

  20. Nonparametric Detection Theory and Applications, Ed. by S. A. Kassam and J. B. Thomas (Dowden, Hutchinson and Ross, Stroudsburg, 1980).

    Google Scholar 

  21. V. I. Borisov and V. M. Zinchuk, Interference Protection of Radio-Communication Systems. Probabilistic-Temporal Approach (Radio i Svyaz’, Moscow, 1999) [in Russian].

    Google Scholar 

  22. H. Urkowitz, Proc. IEEE 55, 523 (1967).

    Article  Google Scholar 

  23. J. I. Marcum and P. Swerling, IRE Trans. Inf. Theory 6, 59 (1960).

    Article  Google Scholar 

  24. D. P. Meyer and H. A. Meyer, Radar Target Detection: Handbook of Theory and Practice (Academic, New York, 1973).

    Google Scholar 

  25. D. A. Shnidman, IEEE Trans. Inf. Theory 35, 389 (1989).

    Article  MATH  Google Scholar 

  26. A. V. Smirnov and L. M. Roganov, Vopr. Formirovaniya i Obrabotki Signalov v Radiotekhn. Ustroistvakh i Sist., No. 6, 1 (1991).

  27. V. M. Zinchuk, Yu. G. Sosulin, A. E. Limarev, et al., in Digital Signal Processing and its Applications (Proc. III Int. Conf., Moscow, 29 Nov.–1 Dec., 2000) (Insvyaz’izdat, Moscow, 2000), Vol. 2, p. 11.

    Google Scholar 

  28. A. Farrouki and M. Barkat, in Proc. Int. Conf. on Radar Systems (Radar-2004), Toulouse, Oct. 18–22, 2004 (Société de l’Electricité, de l’Electronique, et des Technologies de l’Information et de la Communication, Toulouse, 2004).

    Google Scholar 

  29. V. Gregers-Hansen, in Proc. Int. Radar Symp. IRS-2005, Berlin, Sept. 06–08, 2005 (Techn. Univ. Hamburg-Harburg, Hamburg, 2005), p. 235.

    Google Scholar 

  30. B. Magaz, M. Hamadouche, and A. Belouchranl, in Proc. Int. Radar Symp. IRS-2009, Hamburg, Sept. 9–11, (Techn. Univ. Hamburg-Harburg, Hamburg, 2009), p. 35.

    Google Scholar 

  31. G. Renzhou in Proc. Int. Radar Symp. IRS-2009, Hamburg, Sept. 9–11, 2009 (Techn. Univ. Hamburg-Harburg, Hamburg, 2009), p. 113.

    Google Scholar 

  32. S. R. Rao, Linear Statistical Inference and Its Applications (Wiley, New York, 1965; Nauka, Moscow, 1968).

    MATH  Google Scholar 

  33. M. G. Kendal and A. Stuart, Statistical Inference and Relationships (Charles Griffin, London, 1969; Nauka, Moscow, 1973).

    Google Scholar 

  34. Handbook of Mathematical Functions, with Formulas, Graphs, and Mathematical Tables, Ed. by M. Abramovitz, and I. A. Stegun (Dover, New York, 1965; Nauka, Moscow, 1979).

    Google Scholar 

Download references

Authors
  1. V. M. Zinchuk
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yu. G. Sosulin
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. E. Limarev
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Yu. N. Maksyuta
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © V.M. Zinchuk, Yu.G. Sosulin, A.E. Limarev, Yu.N. Maksyuta, 2010, published in Radiotekhnika i Elektronika, 2010, Vol. 55, No. 10, pp. 1200–1210.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zinchuk, V.M., Sosulin, Y.G., Limarev, A.E. et al. Constant false-alarm rate energy detection of a signal with unknown amplitude and waveform in the presence of a Gaussian interference with unknown variance. J. Commun. Technol. Electron. 55, 1122–1131 (2010). https://doi.org/10.1134/S1064226910100050

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064226910100050

Keywords

Search

Navigation