Skip to main content
SpringerLink
Log in

The exhaustive search for optimum minimum peak sidelobe binary sequences

  • Proceedings of the XI Seminar of the International Scientific School “Fundamental Research and Innovations: Nanooptics, Photonics and Coherent Spectroscopy”
  • Published:
Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

The problem of designing binary sequences with the minimum sidelobe level of the aperiodic autocorrelation function is considered. The results from searching for the optimum minimum peak sidelobe binary sequences in the range of lengths N = [83;84] are presented. Examples of binary sequences with sidelobe level PSL = 5 having the higher value of the MF coefficient are presented for lengths N = [83;88].

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. Ising, E., Z. Phys., 1925, no. 31, p. 253.

    Article  ADS  Google Scholar 

  2. Bernasconi, J., J. Phys., 1987, vol. 48, p. 559.

    Article  Google Scholar 

  3. Mertens, S., J. Phys. A: Math. Gen., 1998, vol. 41, p. 3731.

    Article  ADS  Google Scholar 

  4. Lunelli, L., Tabelli di Sequenze (+1,–1) con Autocorrelazione Troncata non Maggiore di 2, Politecnico di Milano, 1965.

    Google Scholar 

  5. Littlewood, J., J. Phys. A: Math. Gen., 1998, vol. 41, p. 367.

    Google Scholar 

  6. Golay, M.J.E., IEEE Trans. Inf. Theory, 1982, vol. 28, p. 543.

    Article  Google Scholar 

  7. http://www-e.uni-magdeburg.de/mertens/research/labs/open.dat.

  8. Lindner, J., Electron. Lett., 1975, vol. 11, p. 507.

    Article  ADS  Google Scholar 

  9. Cohen, M.N., et al., Proc. IEEE Int. Radar Conf., Arlington, 1990, p. 633.

    Book  Google Scholar 

  10. Elders-Boll, H., Schotten, H.D., and Busboom, A., Proc. 5th IEEE Int. Symp. on Communications and Vehicular Technology in the Benelux, Enschede, 1997, p. 24.

    Google Scholar 

  11. Coxson, G.E., et al., IEEE Trans. Aerosp. Electron. Syst., 2005, vol. 41, p. 302.

    Article  ADS  Google Scholar 

  12. Leukhin, A.N. and Potehin, E., arXiv:1212.4930 [cs.OH].

  13. Leukhin, A.N. and Potekhin, E.N., Proc. IEEE Eur. Radar Conf., Nuremberg, 2013, p. 495.

    Google Scholar 

  14. Leukhin, A.N., Shuvalov, A.S., and Potekhin, E.N., Bull. Russ. Acad. Sci.: Phys., 2014, vol. 78, no. 3, p. 207.

    Article  Google Scholar 

  15. Leukhin, A.N., et al., Lect. Notes Comput. Sci., 2014, vol. 8865, p. 157.

    Article  MathSciNet  Google Scholar 

  16. Leukhin, A.N., et al., J. Phys.: Conf. Ser., 2015, vol. 613, p. 012006.

    Google Scholar 

  17. Coxson, G.E., et al., Proc. IEEE High Performance Extreme Computing Conf., Waltham, 2014. http://www.ieee-hpec.org/2014/CD/index_htm_files/FinalPapers/44.pdf.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mari State University, Yoshkar-Ola, Republic of Mari El, 424000, Russia

    A. N. Leukhin, N. V. Parsaev & V. I. Bezrodnyi

  2. Volga State University of Technology, Yoshkar-Ola, Republic of Mari El, 424000, Russia

    N. A. Kokovihina

Authors
  1. A. N. Leukhin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. N. V. Parsaev
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. V. I. Bezrodnyi
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. N. A. Kokovihina
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. N. Leukhin.

Additional information

Original Russian Text © A.N. Leukhin, N.V. Parsaev, V.I. Bezrodnyi, N.A. Kokovihina, 2017, published in Izvestiya Rossiiskoi Akademii Nauk, Seriya Fizicheskaya, 2017, Vol. 81, No. 5, pp. 621–624.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Leukhin, A.N., Parsaev, N.V., Bezrodnyi, V.I. et al. The exhaustive search for optimum minimum peak sidelobe binary sequences. Bull. Russ. Acad. Sci. Phys. 81, 575–578 (2017). https://doi.org/10.3103/S1062873817050136

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1062873817050136

Search

Navigation