V.A. Shevtsov1, V.O. Kazachkov2, G.N. Kazakov3, I.R. Letfullin4

1–4 Moscow Aviation Institute (National Research University) (Moscow, Russia)

1 vs@mai.ru, 2 kazachkovvo@mai.ru, 3 jee2@mail.ru, 4 l.ilgam@ya.ru

The mass deployment of autonomous and unmanned systems across various fields increases the demands on signal generation technologies in satellite communication systems. A key challenge is ensuring the simultaneous and reliable operation of a large number of devices using low-complexity control information transmission algorithms. In this context, the development of a group signal generation algorithm that is robust to nonlinear distortions and allows for simple demultiplexing becomes highly relevant.

To develop and investigate a new efficient algorithm for generating group signals in the satellite downlink radio channel, which requires minimal software and hardware resources both on board the satellite and at the user terminal.

 A group signal generation algorithm is proposed. Statistical simulation of the algorithm was performed for phase-modulated signals under nonlinear distortions introduced by a power amplifier, modeled using the Saleh, Ghorbani, and a modified Rapp model. The simulation results confirmed the efficiency of the proposed algorithm.

The proposed group signal generation algorithm can be applied in nonlinear satellite radio channels and provides a significant improvement in energy efficiency without requiring additional methods to compensate for the nonlinear effects of the output power amplifier, such as predistortion blocks

Shevtsov V.A., Kazachkov V.O., Kazakov G.N., Letfullin I.R. Group signal generation algorithm in nonlinear wireless satellite channels. Electromagnetic waves and electronic systems. 2025. V. 30. № 5. P. 104−120. DOI: https://doi.org/10.18127/ j15604128-202505-08 (in Russian)

1. El Gamal A., Kim Y.-H. Network Information Theory. UK: Cambridge University Press. 2011. 714 p.
2. Cover T.M., Thomas J.A. Elements of information theory. US: John Wiley & Sons. 2012. 784 p.
3. Broadcast channels in Orleans. [Electronic resource] – Access mode: https://learn.microsoft.com/ru-ru/dotnet/orleans/strea-ming/broadcast-channel, date of reference 1.07.2025. (in Russian)
4. Fulber-Garcia V., Aibin M. Multicast vs. Broadcast vs. Anycast vs. Unicast. [Electronic resource] – Access mode: https://www.bael-dung.com/cs/multicast-vs-broadcast-anycast-unicast, date of reference 1.07.2025.
5. Chen S.-W., Panton W., Gilmore R. Effects of nonlinear distortion on CDMA communication systems. IEEE Transactions on Microwave Theory and Techniques. 1996. V. 44. № 12. P. 2743–2750. DOI 10.1109/22.554660.
6. Guo N., Milstein L.B. The impact of nonlinear amplification on multi-code CDMA systems. IEEE International Conference on Com­munications. New Orleans, LA, USA. 2000. V. 2. P. 1034–1038. DOI 10.1109/ICC.2000.853655.
7. Songbai H., Mingyu L., Hongmin D., Juebang Y. Analysis of CDMA RF channel nonlinear distortion. IEEE International Conference on Communications, Circuits and Systems and West Sino Expositions. Chengdu, China. 2002. V. 1. P. 474–477. DOI 10.1109/ICCCAS. 2002.1180662.
8. Conti A., Dardari D., Tralli V. On the analysis of single and multiple carrier WCDMA systems with polynomial nonlinearities. Fourth International Conference on Information, Communications and Signal Processing, 2003 and the Fourth Pacific Rim Conference on Multimedia. Proceedings of the 2003 Joint, Singapore. 2003. V. 1. P. 369–375. DOI 10.1109/ICICS.2003.1292477.
9. Balunin E.I., Ratushin A.P., Khrapkov D.S., Vlasov M.V. Procedure for generating and decoding codewords of a joint low-density source and channel code. Electromagnetic waves and electronic systems. 2023. V. 28. № 3. P. 28−37. DOI 10.18127/j15604128-202303-04 (in Russian)
10. Gurevich V., Egorov S. Modeling of Amplitude Characteristic in Radio Channels of Code Division Multiple Access Systems. Proceedings of Telecommunication Universities. 2020. V. 6. № 2. P. 30–38. DOI 10.31854/1813-324X-2020-6-2-30-38. (in Russian)
11. Kondratenko A.E., Poddubny V.N. The effectiveness of harmonic and Gaussian interference effects on multichannel radio communication lines with synchronous nonlinear channel code sealing. Radio Engineering. 2009. № 6. P. 52–58. (in Russian)
12. Sayapin V.Yu., Tislenko V.I., Rodionov V.V. Review and comparative analysis of nonlinear distortion compensators design in power amplifier. Reports of Tomsk State University of Control Systems and Radioelectronics. 2015. № 4(38). P. 26–31. (in Russian)
13. Fink L.M. Theory of transmission of discrete messages. Moscow: Sov. Radio. 1975. 728 p. (in Russian)
14. Gridin V.N., Mazepa R.B., Roshchin B.V. Majority compression and encoding of binary signals. Moscow: Nauka. 2001. 124 p. (in Russian)
15. Saleh A.A.M. Frequency-Independent and Frequency-Dependent Nonlinear Models of TWT Amplifiers. IEEE Transactions on Commu­nications. 1981. V. 29. № 11. P. 1715–1720. DOI 10.1109/TCOM.1981.1094911.
16. Rapp C. Effects of HPA-nonlinearity on a 4-DPSK/OFDM signal for a digital sound broadcasting system. Proceedings of the Second European Conference on Satellite Communications. 1991. P. 179–184.
17. Ghorbani A., Sheikhan M. The effect of solid state power amplifiers (SSPAs) nonlinearities on MPSK and M-QAM signal transmission. Sixth International Conference on Digital Processing of Signals in Communications. Loughborough, UK. 1991. P. 193–197.