A.S. Beksaev1, A.S. Ovsyannikova2, S.V. Zavjalov3

1-3 Peter The Great St. Petersburg Polytechnic University (Saint-Petersburg, Russia)

Formulation of the problem. With the help of the classical method of orthogonal frequency multiplexing (OFDM-method), when using an amplitude pulse of a rectangular shape on each subcarrier frequency, the specific data transfer rates are not higher than 1 (bit/s)/Hz. At the same time, at the edges of the occupied frequency band, the rate of decay of the out-of-band emission level turns out to be very low, which leads to a high level of spurious emissions outside this frequency band. To eliminate these shortcomings, it is proposed, when using the OFDM method, to combine the principle of modulation at each subcarrier frequency using narrow-band filtering and the use of amplitude pulses with the optimal shape of the real envelope of signals, which makes it possible to increase the specific message transmission rate and reduce the level of out-of-band emissions while maintaining the noise immunity of the reception, corresponding to the noise immunity of the reception of orthogonal signals.

Purpose of the article. Presentation of simulation model of a messaging system using optimal signals built on the basis of eigenfunctions of band-limited cores.

Results. The main mathematical calculations for the analytical solution of the optimization problem of finding the shape of the envelope of signals based on the eigenfunctions of band-limited cores are given. Methods and block diagrams of simulation modeling are considered. A comparative analysis of the spectral characteristics and noise immunity of optimal signal reception is carried out.

Practical significance. The use of optimal signals built on the basis of their own functions of band-limited cores makes it possible to increase the energy and spectral efficiency of digital radio broadcasting and television networks in the space segment DVB-S2 (Digital Video Broadcasting Satellite Second Generation), DVB-T2 (Digital Video Broadcasting Terrestrial Second Generation).

Beksaev A.S., Ovsyannikova A.S., Zavjalov S.V. Simulation model for data transmission using optimal signals based on eigenfunctions of bandlimited cores. Radiotekhnika. 2022. V. 86. № 12. P. 21−32. DOI: https://doi.org/10.18127/j00338486-202212-02 (In Russian)

1. Bohge, Mathias, et al. Dynamic resource allocation in OFDM systems: an overview of cross-layer optimization principles and techniques. IEEE Network. Jan-Feb 2007. V. 21. Р. 53-59.
2. Gel'gor A.L., Gorlov A.I., Nguen V.F. Povyshenie spektral'noj i jenergeticheskoj jeffektivnosti signalov SEFDM putem ispol'zovanija optimal'nyh impul'sov v kachestve formy spektrov podnesushhih. Radiotehnika. 2018. № 1. S. 49-56 (In Russian).
3. Darwazeh I., Ghannam H., Xu T. The First 15 Years of SEFDM: A Brief Survey. 2018 11th International Symposium on Communication Systems, Networks & Digital Signal Processing (CSNDSP). 2018. Р. 1-7. DOI: 10.1109/CSNDSP.2018.8471886.
4. Banelli P., Buzzi S., Colavolpe G., Modenini A., Rusek F., Ugolini A. Modulation formats and waveforms for 5G networks: Who will be the heir of OFDM ?: An overview of alternative modulation schemes for improved spectral efficiency. IEEE Signal Process. Mag. Nov. 2014. V. 31. № 6. Р. 80–93.
5. Sriyananda M.G.S., Nandana Rajatheva. Analysis of self interference in a basic FBMC system. IEEE 78th Vehicular Technology Conf. 2013.
6. Qu Daiming, Shixian Lu, Tao Jiang. Multi-block joint optimization for the peak-to-average power ratio reduction of FBMC-OQAM signals. IEEE Trans. Signal Processing. 2013. V. 61. Р. 1605-1613.
7. Saltzberg B. Performance of an efficient parallel data transmission system. IEEE Trans. Commun. Technol. Dec. 1967. V. 15. № 6.
   Р. 805–811.
8. Siohan P., Siclet C., Lacaille N. Analysis and design of OFDM/OQAM systems based on filterbank theory. IEEE Transactions on Signal Processing. 2002. V. 50. № 5. P. 1170–1183.
9. Bellanger M., et al. FBMC physical layer: a primer. PHYDYAS. January. 2010. V. 25. № 4. P. 7–10.
10. Baki A.K.M., Al Ahsan R., Awsaf A. Novel methods of filtering for FBMC/UFMC based 5G communication systems. 2019 7th international conference on smart computing & communications (ICSCC). IEEE. 2019. Р. 1-4
11. Zakaria R., Ruyet D.Le. A novel filter-bank multicarrier scheme to mitigate the intrinsic interference: Application to MIMO systems. IEEE Trans. Wireless Commun. Mar. 2012. V. 11. № 3. Р. 1112–1123.
12. Horváth B., Bakki P. Implementation of FBMC transmission link using SDR. 2013 23rd International Conference Radioelektronika (RADIOELEKTRONIKA). IEEE. 2013. Р. 320-323.
13. Zhang H., et al. Spectral efficiency comparison of OFDM/FBMC for uplink cognitive radio networks. EURASIP Journal on Advances in Signal Processing. 2010. V. 2010. Р. 1-14.
14. Shaat M., Bader F. Computationally efficient power allocation algorithm in multicarrier-based cognitive radio networks: OFDM and FBMC systems. EURASIP Journal on Advances in Signal Processing. 2010. V. 2010. Р. 1-13.
15. Zhiljakov E.G. Variacionnye metody analiza i postroenija funkcij po jempiricheskim dannym. Belgorod: Izd-vo BelGU. 2007. 160 s.
    (In Russian).
16. 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. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 2015. V. 9247. Р. 636– 646. DOI: 10.1007/978-3-319-23126-6_57.
17. Shkol'nyj L.A. Optimizacija formy ogibajushhej radioimpul'sa po minimumu vnepolosnyh izluchenij. Radiotehnika. 1975. T. 30. № 6.
    S. 12-15 (In Russian).
18. Zavjalov S.V., Ovsyannikova A.S., Volvenko S.V. On the Necessary Accuracy of Representation of Optimal Signals. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 2018. V. 11118 LNCS. Р. 153-161. DOI: 10.1007/978-3-030-01168-0_14.
19. Gel'gor A.L., Tan N.F.KH. Sintez spektral'no-effektivnykh signalov pri nalichii ogranicheniya v vide spektral'noy maski. Radiotekhnika. 2018. Т. 82. № 12. S. 49-57 (In Russian).