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Application of Optimal Finite-Length Signals for Overcoming “Nyquist Limit”

  • Sergey V. Zavjalov
  • Anna S. Ovsyannikova
  • Ilya I. Lavrenyuk
  • Sergey V. VolvenkoEmail author
  • Sergey B. Makarov
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11118)

Abstract

An opportunity of finite-length optimal signals application to excess Nyquist limit without energy losses and within defined occupied bandwidth is considered in this article. Finite-length optimal signals with different duration can be found by numerical solution of corresponding multistep optimization task. Optimality criterion of signal form is based on defined reduction rate of out-of-band emissions in condition of controlled intersymbol interference. Controlled intersymbol interference determines possibility of application of simple algorithm of coherent bit-by-bit detection. Solutions of optimization tasks for different conditions are compared with known signal forms in term of Euclidean distance between signal sequences according to Mazo method. It is shown that optimal signals provide higher symbol rate without significant losses in BER performance and may be applied in 5G standards instead of signals formed with the use of digital filtration.

Keywords

Optimal signals Nyquist limit Occupied frequency bandwidth Spectrum Euclidean distance 

References

  1. 1.
    Fan, J.C., et al.: Faster-Than-Nyquist signaling: an overview. IEEE. Access 5, 1925–1940 (2017)CrossRefGoogle Scholar
  2. 2.
    Liveris, A.D., Georghiades, C.N.: Exploiting Faster-Than-Nyquist signaling. IEEE Trans. Commun. 51, 1502–1511 (2003)CrossRefGoogle Scholar
  3. 3.
    Rusek, F., Anderson, J.B.: Constrained capacities for Faster-Than-Nyquist signaling. IEEE Trans. Inf. Theory 55, 764–775 (2009)MathSciNetCrossRefGoogle Scholar
  4. 4.
    Gorlov, A., Gelgor, A., Nguyen, V.P.: Root-raised cosine versus optimal finite pulses for Faster-Than-Nyquist generation. In: Galinina, O., Balandin, S., Koucheryavy, Y. (eds.) NEW2AN/ruSMART -2016. LNCS, vol. 9870, pp. 628–640. Springer, Cham (2016).  https://doi.org/10.1007/978-3-319-46301-8_54CrossRefGoogle Scholar
  5. 5.
    Anderson, J.B., Rusek, F., Owall, V.: Faster-Than-Nyquist signaling. Proc. IEEE 101, 1817–1830 (2013)CrossRefGoogle Scholar
  6. 6.
    Ovsyannikova, A.S., Zavjalov, S.V., Makarov, S.B., Volvenko, S.V., Quang, T.L.: Spectral and energy efficiency of optimal signals with increased duration, providing overcoming “Nyquist Barrier”. In: Galinina, O., Andreev, S., Balandin, S., Koucheryavy, Y. (eds.) NEW2AN/ruSMART/NsCC -2017. LNCS, vol. 10531, pp. 607–618. Springer, Cham (2017).  https://doi.org/10.1007/978-3-319-67380-6_57CrossRefGoogle Scholar
  7. 7.
    Zavjalov, S.V., Volvenko, S.V., Makarov, S.B.: A method for increasing the spectral and energy efficiency SEFDM signals. IEEE Commun. Lett. 20, 2382–2385 (2016)CrossRefGoogle Scholar
  8. 8.
    Ovsyannikova, A.S., Zavjalov, S.V., Makarov, S.B., Volvenko, S.V.: Choosing parameters of optimal signals with restriction on correlation coefficient. In: Galinina, O., Andreev, S., Balandin, S., Koucheryavy, Y. (eds.) NEW2AN/ruSMART/NsCC -2017. LNCS, vol. 10531, pp. 619–628. Springer, Cham (2017).  https://doi.org/10.1007/978-3-319-67380-6_58CrossRefGoogle Scholar
  9. 9.
    Ishihara, T., Sugiura, S.: Faster-Than-Nyquist signaling with index modulation. IEEE Wirel. Commun. Lett. 6, 630–633 (2017)CrossRefGoogle Scholar
  10. 10.
    Xue, W., Ma, W., Chen, B.: Research on a realization method of the optimized efficient spectrum signals using Legendre series. In: 2010 IEEE International Conference on Wireless Communications, Networking and Information Security (WCNIS), vol. 1, pp. 155–159 (2010)Google Scholar
  11. 11.
    Zavjalov, S.V., Makarov, S.B., Volvenko, S.V., Xue, W.: Waveform optimization of SEFDM signals with constraints on bandwidth and an out-of-band emission level. In: Balandin, S., Andreev, S., Koucheryavy, Y. (eds.) ruSMART 2015. LNCS, vol. 9247, pp. 636–646. Springer, Cham (2015).  https://doi.org/10.1007/978-3-319-23126-6_57CrossRefGoogle Scholar
  12. 12.
    Vasilyev, D., Rashich, A., Fadeev, D.: Joint use of SEFDM-signals and FEC schemes. In: Galinina, O., Balandin, S., Koucheryavy, Y. (eds.) NEW2AN/ruSMART -2016. LNCS, vol. 9870, pp. 604–611. Springer, Cham (2016).  https://doi.org/10.1007/978-3-319-46301-8_51CrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.Peter the Great St. Petersburg Polytechnic UniversitySt. PetersburgRussia

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