Correlation Properties Comparative Analysis of Pseudorandom Binary Sequences and LTE Standard ZC Sequences

  • Vladimir Lavrukhin
  • Vitaly Lazarev
  • Alexander Ryjkov
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9870)


The paper describes correlation properties comparative analysis of pseudorandom binary sequences such as M-sequences, Gold codes, Hadamard ordered Golay sequences and LTE standard ZC sequences. In particular, the research considers primary synchronization signal (PSS) and random access preamble. Generation processes and the special features of ZC sequence based signals used in LTE standard are shown. Autocorrelation and cross correlation functions of appropriate signals are presented, correlation coefficients are evaluated.


Pseudorandom binary sequence ZC sequence Correlation LTE Synchronization 


  1. 1.
    Ahmadi, S.: LTE-Advanced. A Practical Systems Approach to Understanding the 3GPP LTE Releases 10 and 11 Radio Access Technologies. Academic Press, Oxford (2014). 1116p.Google Scholar
  2. 2.
    Gelgor, A., Pavlenko, I., Fokin, G., Gorlov, A., Popov, E., Lavrukhin, V.: LTE base stations localization. In: Balandin, S., Andreev, S., Koucheryavy, Y. (eds.) NEW2AN/ruSMART 2014. LNCS, vol. 8638, pp. 191–204. Springer, Heidelberg (2014)Google Scholar
  3. 3.
    Myung, H.G., Goodman, D.J.: Single Carrier FDMA. A New Air Interface for Long Term Evolution. Wiley, New York (2008)CrossRefGoogle Scholar
  4. 4.
    Gold, R.: Optimal binary sequences for spread spectrum multiplexing (Corresp.). IEEE Trans. Inform. Theor. 13(4), 619–621 (1967)MathSciNetCrossRefMATHGoogle Scholar
  5. 5.
    Silva, C., Dolecek, G., Harris, F.: Cell search in long term evolution systems: primary and secondary synchronization. In: 2012 IEEE 3rd Latin American Symposium on Circuits and Systems (LASCAS) (2012)Google Scholar
  6. 6.
    Rahman, T., Sacchi, C.: A cooperative radio resource management strategy for mobile multimedia LTE uplink. In: 2014 IEEE Aerospace Conference (2014)Google Scholar
  7. 7.
    Yahui, H., Yinlong, L., Xu, Z., Zhen, X.: Towards QoE-based resource allocation schemes in SC-FDMA systems. J. China Univ. Posts Telecommun. 22(5), 63–100 (2015)CrossRefGoogle Scholar
  8. 8.
    E-UTRA Physical channels and modulation.
  9. 9.
    UTRA Spreading and modulation (FDD).
  10. 10.

Copyright information

© Springer International Publishing AG 2016

Authors and Affiliations

  • Vladimir Lavrukhin
    • 1
  • Vitaly Lazarev
    • 1
  • Alexander Ryjkov
    • 1
  1. 1.The Bonch-Bruevich St. Petersburg State University of TelecommunicationsSaint-PetersburgRussia

Personalised recommendations