ORTHOGONAL BASIS SYNTHESIS AT A FINITE TIME INTERVAL FOR DIGITAL SIGNAL PROCESSING WITH LIMITED SPECTRUM
Abstract and keywords
Abstract (English):
The problem of synthesizing an orthogonal basis for transmitting information over narrow-band communication channels in the presence of noise is considered. Purpose: to develop an orthogonal-basis finitetime synthesis method for efficient digital processing of limited-spectrum signals, with the aim of increasing the capacity of digital communication channels. To achieve this goal, the matrix method of signal synthesis and analysis, the MATLAB environment and other innovative approaches were used. Methods: theoretical analysis and computer modelling. Results: the high potential of using the finite-time orthogonal basis for synthesizing and analyzing limited-spectrum signals has been confirmed. Practical significance: improved quality of signal transmission, especially in conditions of limited bandwidth of communication channels contributing to the creation of more efficient and reliable communication systems. Discussion: makes recommendations for further improvement of the proposed basis and highlights issues requiring further research and development. This study is important for the development of railway telecommunication technologies in rail transport.

Keywords:
function basis decomposition, orthogonal basis, approximation, synthesis and analysis of signals, digital signal processing
References

1. Egorov V. V., Hodakovskiy V. A. Sintez LChM signala v polose TCh s uluchshennymi svoystvami po AKF i pik-faktoru // Sovremennye tehnologii obrabotki signalov (STOS-2023): Doklady 4-oy Vserossiyskoy konferencii (Moskva, Rossiya, 12–13 dekabrya 2023 g.). M.: Rossiyskoe nauchno-tehnicheskoe obschestvo radiotehniki, elektroniki i svyazi imeni A. S. Popova, 2023. S. 54–59.

2. Egorov V. V., Lobov S. A., Hodakovskiy V. A. Sintez posledovatel'nostey s ideal'nymi avtokorrelyacionnymi svoystvami // Avtomatika na transporte. 2022. T. 8, № 11. S. 78–89. DOI:https://doi.org/10.20295/2412-9186-2022-8-01-78-89.

3. Bulavskiy P. E., Vasilenko M. N., Hodakovskiy V. A. Intellektual'noe cifrovoe upravlenie tonal'nymi rel'sovymi cepyami // Avtomatika, svyaz', informatika. 2022. № 3. S. 2–6. DOI:https://doi.org/10.34649/AT.2022.3.3.001.

4. Grishencev A. Yu. Metod sinteza alfavitov ortogonal'nyh signal'nyh shirokopolosnyh soobscheniy // Nauchno-tehnicheskiy vestnik informacionnyh tehnologiy, mehaniki i optiki. 2018. T. 18, № 6. S. 1074–1083. DOI:https://doi.org/10.17586/2226-1494-2018-18-6-1074-1083.

5. Sintez signalov s optimal'nymi po urovnyu bokovyh lepestkov avtokorrelyacionnymi svoystvami / V. A. Hodakovskiy, V. G. Degtyarev, P. V. Gerasimenko, S. V. Mikoni // Izvestiya Peterburgskogo universiteta putey soobscheniya. 2018. T. 15, Vyp. 4. S. 629–636. DOI:https://doi.org/10.20295/1815-588X-2018-4-629-636.

6. Hodakovskiy V. A., Degtyarev V. G. O teoreme otschetov i ee primenenii dlya sinteza i analiza signalov s ogranichennym spektrom // Izvestiya Peterburgskogo universiteta putey soobscheniya. 2017. T. 14, Vyp. 3. S. 562–573.

7. Chonavel T. Orthogonal Signals with Jointly Balanced Spectra: Application to CDMA Transmissions // EURASIP Journal on Wireless Communications and Networking. 2011. Art. No. 176. 19 p. DOI:https://doi.org/10.1186/1687-1499-2011-176.

8. Petrov D. A. Sintez horosho-lokalizovannyh konechnomernyh bazisov Veylya-Geyzenberga i ih primenenie dlya postroeniya vysokoeffektivnyh algoritmov obrabotki signalov: avtoreferat diss. … kand. fiz.-mat. nauk: 05.13.18 / Petrov Dmitriy Andreevich; [Mesto zaschity: Moskovskiy gos. un-t im. M. V. Lomonosova]. M., 2010. 18 s.

9. Volchkov V. P., Petrov D. A. Optimizaciya ortogonal'nogo bazisa Veylya-Geyzenberga dlya cifrovyh sistem svyazi, ispol'zuyuschih princip OFDM/OQAM peredachi // Nauchnye vedomosti Belgorodskogo gosudarstvennogo universiteta. Istoriya. Politologiya. Ekonomika. Informatika. 2009. № 1 (56), Vyp. 9/1. S. 104–112.

10. Volchkov V. P., Petrov D. A. Orthogonal Well-Localized Weyl-Heisenberg Basis Construction and Optimization for Multicarrier Digital Communication Systems // Proceedings of the 2009 International Conference on Ultra Modern Telecommunications & Workshops (ICUMT 2009), (Saint Petersburg, Russia, 12–14 October 2009). Institute of Electrical and Electronics Engineers, 2009. 4 p. DOI:https://doi.org/10.1109/ICUMT.2009.5345586.

11. Volchkov V. P. Signal'nye bazisy s horoshey chastotno-vremennoy lokalizaciey // Elektrosvyaz'. 2007. № 2. C. 21–25.

12. Prokis Dzh. Cifrovaya svyaz' = Digital Communications / per. s angl. pod red. D. D. Klovskogo. M.: Radio i svyaz', 2000. 800 c.

13. Mallat S. G. A Wavelet Tour of Signal Processing: Second Edition. San Diego (CA): Academic Press, 1999. 661 p.

14. Haas R., Belfiore J.-C. A Time-Frequency Well-localized Pulse for Multiple Carrier Transmission // Wireless Personal Communications. 1997. Vol. 5, Iss. 1. Pp. 1–18. DOI:https://doi.org/10.1023/A:1008859809455.

15. Muschallik C. Improving an OFDM Reception Using an Adaptive Nyquist Windowing // IEEE Transactions on Consumer Electronics.1996. Vol. 42, Iss. 3. Pp. 259–269. DOI:https://doi.org/10.1109/30.536046.

16. Petuhov A. P. Periodicheskie diskretnye vspleski // Algebra i analiz. 1996. T. 8, Vyp. 3. C. 151–183.

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