Abstract
Optimal signals, the shape of which is the result of solving an optimization problem, may provide high spectral efficiency without significant energy losses. The parameters of optimization constraints such as the value of the correlation coefficient and the number of signals considered in the constraint on bit error rate (BER) performance define the shape of the energy spectrum of signals and their correlation properties. In this work sensitivity of energy spectrum and BER performance to variation of parameters of the constraint on correlation coefficient during optimization of FTN pulse shape according to the criterion of maximum energy concentration within occupied frequency bandwidth is estimated. It is shown that the lower the correlation coefficient, the less the energy spectrum changes when the number of signals considered in the constraint on BER performance varies. At the same time, for a rather high value of correlation coefficient increasing the number of signals considered in the constraint on BER performance leads to widening of occupied frequency bandwidth by 7% and reducing the level of emissions by 40 dB at a fixed frequency offset. Besides, energy gain may reach 7 dB. The results obtained during this research allow numerically estimating the possibilities of achieving high spectral and energy characteristics at transmission rates higher than the Nyquist limit.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Rashich, A., Urvantsev, A.: Pulse-shaped multicarrier signals with nonorthogonal frequency spacing. In: 2018 IEEE International Black Sea Conference on Communications and Networking (BlackSeaCom), Batumi, pp. 1–5 (2018). https://doi.org/10.1109/blackseacom.2018.8433714
Vasilyev, D., Rashich, A.: SEFDM-signals euclidean distance analysis. In: 2018 IEEE International Conference on Electrical Engineering and Photonics (EExPolytech), St. Petersburg, pp. 75–78 (2018). https://doi.org/10.1109/eexpolytech.2018.8564439
Gelgor, A., Gorlov, A., Nguyen, V.P.: Performance analysis of SEFDM with optimal subcarriers spectrum shapes. In: 2017 IEEE International Black Sea Conference on Communications and Networking (BlackSeaCom), Istanbul, pp. 1–5 (2017). https://doi.org/10.1109/blackseacom.2017.8277680
Kholmov, M., Fadeev, D.: The effectiveness of active constellation extension for PAPR reduction in SEFDM systems. In: 2018 IEEE International Conference on Electrical Engineering and Photonics (EExPolytech), St. Petersburg, pp. 116–118 (2018). https://doi.org/10.1109/eexpolytech.2018.8564432
Liveris, A.D., Georghiades, C.N.: Exploiting faster-than-Nyquist signaling. IEEE Trans. Commun. 51(9), 1502–1511 (2003). https://doi.org/10.1109/TCOMM.2003.816943
Anderson, J.B.: Bandwidth Efficient Coding. John Wiley & Sons, Incorporated, Hoboken (2017)
Gelgor, A., Gelgor, T.: New pulse shapes for partial response signaling to outperform faster-than-Nyquist signaling. In: 2019 IEEE International Conference on Electrical Engineering and Photonics (EExPolytech), St. Petersburg, Russia, pp. 144–148 (2019). https://doi.org/10.1109/eexpolytech.2019.8906884
Said, A., Anderson, J.B.: Bandwidth-efficient coded modulation with optimized linear partial-response signals. IEEE Trans. Inf. Theory 44(2), 701–713 (1998). https://doi.org/10.1109/18.661514
Ovsyannikova, A.S., Zavjalov, S.V., Volvenko, S.V.: Influence of correlation coefficient on spectral and energy efficiency of optimal signals. In: 2018 10th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT), Moscow, Russia, pp. 1–4 (2018). https://doi.org/10.1109/icumt.2018.8631218
Xue, W., Guo, L.-L., Zhang, X.-L., Ma, W.-Q.: Analysis of the impact of intersymbolic interference and symbol cross correlation on characteristics of signals. Harbin Gongcheng Daxue Xuebao/J. Harbin Eng. Univ. 31(1), 109–114 (2010). https://doi.org/10.3969/j.issn.1006-7043.2010.01.019
Gelgor, A., Gorlov, A.: A performance of coded modulation based on optimal faster-than-Nyquist signals. In: 2017 IEEE International Black Sea Conference on Communications and Networking (BlackSeaCom), Istanbul, pp. 1–5 (2017). https://doi.org/10.1109/blackseacom.2017.8277678
Proakis, J.G., Salehi, M.: Digital Communications, 5th edn. McGraw-Hill Higher Education, New York (2008)
Acknowledgements
The results of the work were obtained under the grant of the President of the Russian Federation for state support of young Russian scientists (agreement MК-1571.2019.8 №075-15-2019-1155) and used computational resources of Peter the Great Saint-Petersburg Polytechnic University Supercomputing Center (http://www.scc.spbstu.ru).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this paper
Cite this paper
Ovsyannikova, A.S., Zavjalov, S.V., Makarov, S.B., Lavrenyuk, I.I., Wei, X. (2020). Sensitivity of Energy Spectrum Shape and BER to Variation of Parameters Used in Constraint on Correlation Coefficient During FTN Pulse Optimization. In: Galinina, O., Andreev, S., Balandin, S., Koucheryavy, Y. (eds) Internet of Things, Smart Spaces, and Next Generation Networks and Systems. NEW2AN ruSMART 2020 2020. Lecture Notes in Computer Science(), vol 12525. Springer, Cham. https://doi.org/10.1007/978-3-030-65726-0_40
Download citation
DOI: https://doi.org/10.1007/978-3-030-65726-0_40
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-65725-3
Online ISBN: 978-3-030-65726-0
eBook Packages: Computer ScienceComputer Science (R0)