Studying the influence of correction codes on coherent reception of M-PSK signals in the presence of noise and harmonic interference

Objectives. Signals with multiple phase shift keying (M-PSK) exhibiting good spectral and energy characteristics are successfully used in many information transmission systems. These include satellite communication systems, GPS, GLONASS, DVB/DVB-S2, and a set of IEEE 802.11 wireless communication standards. In radio communication channels, the useful signal is affected by various interferences in addition to noise. One of these is harmonic interference. As a result, high intensity harmonic interference practically destroys the reception of M-PSK signals. One of the important requirements for the quality of data transmission is the system error tolerance. There are different ways of improving the quality of information transmission. One of these is the use of corrective encoding technology. The aim of the paper is to assess the noise immunity of a coherent demodulator of M-PSK signals using Hamming codes (7,4) and (15,11), and convolutional encoding with Viterbi decoding algorithm (7,5) when receiving M-PSK signals under noise and harmonic interference in the communication channel.
Methods. The methods of statistical radio engineering, optimal signal reception theory and computer simulation modeling were used.
Results. Experimental dependencies of the bit error rate on the signal-to-noise ratio and on the intensity of harmonic interference of coherent reception of M-PSK signals in a channel with noise and harmonic interference were obtained using computer simulation modeling. This was done without using correction codes and with Hamming code (7.4) and (15.11) and convolutional encoding with Viterbi decoding algorithm (7,5).
Conclusions. It is shown that the application of the correction codes effectively corrects errors in the presence of noise and harmonic interference with lower intensity. The correction is ineffective in the presence of high intensity interference. These results can provide important guidance in designing the reliable and energy efficient system.

1. Abu-Baker A., Bani-Hani K., Khasawneh F., Jaradat A. The Impact of Hamming Code and Cyclic Code on MPSK and MQAM Systems over AWGN Channel: Performance Analysis. Univers. J. Electr. Electron. Eng. 2021;8(1):9–15. http://doi.org/10.13189/ujeee.2021.080102

2. Singh J., Bahel S. Comparative study of data transmission techniques of different block codes over AWGN channel using Simulink. International Journal of Engineering Trends and Technology (IJETT). 2014;9(12):609–615. http://doi.org/10.14445/22315381/IJETT-V9P316

3. Saraswat H., Sharma G., Mishra S.K. Performance evaluation and comparative analysis of various concatenated error correcting codes using BPSK modulation for AWGN channel. International Journal of Electronics and Communication Engineering (IJECE). 2012;5(3):235–244. Available from URL: https://www.ripublication.com/irph/ijece/ijecev5n3_01.pdf

4. Sarnin S.S., Kadri N., Mozi A.M., Ab Wahab N., Naim N.F. Performance analysis of BPSK and QPSK using errorcorrecting code through AWGN. In: 2010 International Conference on Networking and Information Technology. IEEE; 2010. P. 178–182. https://doi.org/10.1109/ICNIT.2010.5508536

5. Pandey M., Pandey V.K. Comparative Performance Analysis of Block and Convolution Codes. Int. J. Computer Appl. 2015;119(24):43–47. http://doi.org/10.5120/21388-4398

6. Pushpa V., Ranganathan H., Palanivelan M. BER analysis of BPSK for block codes and convolution codes over AWGN channel. Int. J. Pure Appl. Math. 2017;114(11):221–230. Available from URL: https://acadpubl.eu/jsi/2017-114-7ICPCIT-2017/articles/11/22.pdf

7. Chopra S.R., Kaur J., Monga H. Comparative Performance Analysis of Block and Convolution Codes. Indian J. Sci. Technol. 2016;9(47):1–5. http://doi.org/10.17485/ijst/2016/v9i47/106868

8. El Maammar N., Bri S., Foshi J. Convolutional Codes BPSK Modulation with Viterbi Decoder. In: Noreddine G., Kacprzyk J. (Eds.). International Conference on Information Technology and Communication System. ITCS 2017. Advances in Intelligent Systems and Computing. Springer; 2018. V. 640. P. 267–278. http://doi.org/10.1007/978-3-319-64719-7_23

9. Wang J., Huang H., Liu J., Li J. Joint Demodulation and Error Correcting Codes Recognition Using Convolutional Neural Network. IEEE Access. 2022;10:104844–104851. http://doi.org/10.1109/ACCESS.2022.3201354

10. Ar-Reyouchi E.M., Rattal S., Ghoumid K. A Survey on Error–Correcting Codes for Digital Video Broadcasting. SN Comput. Sci. 2022;3(2):105. https://doi.org/10.1007/s42979-021-00994-x

11. Serchenya A.A. Comparative assessment of noise-resistant coding using different types of codes. In: Infocommunications: Materials of the 55th Anniversary Scientific Conference of Graduate Students, Undergraduates and Students. Minsk; 2019. P. 49–50 (in Russ.). Available from URL: https://libeldoc.bsuir.by/bitstream/123456789/35911/1/Serchenya_Sravnitelnaya.pdf

12. Maglitskii B.N., Sergeeva A.S. Otsenka vliyaniya iskazhenii i pomekh na kachestvennye pokazateli tsifrovykh sistem radiosvyazi metodom imitatsionnogo modelirovaniya (Assessment of the Influence of Distortions and Interference on the Quality Indicators of Digital Radio Communication Systems using Simulation Modeling). Novosibirsk: SibGUTI; 2016. 129 p. (in Russ.).

13. Elishev V.V., Tikhonov Ya.E. Noise immunity of information transmission systems with fast pseudo-random tuning of the operating frequency and coding in noise interference conditions. Scientific and Technical Conference of the A.S. Popov St. Petersburg NTO RES devoted to Radio Day. 2021;1(76):163–166 (in Russ.). Available from URL: https://conf-ntores.etu.ru/assets/files/2021/cp/papers/163-166.pdf?ysclid=lvxmjjy9dr243257656

14. Golikov A.M. Kodirovanie v telekommunikatsionnykh sistemakh (Coding in Telecommunication Systems). Tomsk: TUSUR; 2018. 319 p. (in Russ.).

15. Kulikov G.V., Nguyen V.D., Nesterov A.V., Lelyukh A.A. Noise immunity of reception of signals with multiple phase shift keying in the presence of harmonic interference. Naukoemkie tekhnologii = Science Intensive Technologies. 2018;19(11): 32–38 (in Russ.). Available from URL: https://www.elibrary.ru/item.asp?edn=vscalp&ysclid=lxirdr6ica649732959

16. Kulikov G.V. The effect of harmonic interference on the noise immunity of the correlating demodulator of the MSK signals. Radiotekhnika = Radioengineering. 2002;7:42–44 (in Russ.).

17. Kulikov G.V., Nesterov A.V., Lelyukh A.A. Interference immunity of reception of signals with quadrature amplitude shift keying in the presence of harmonic interference. Zhurnal Radioelektroniki = J. Radio Electronics. 2018;11:2 (in Russ.). https://doi.org/10.30898/1684-1719.2018.11.9

18. Kulikov G.V., Usmanov R.R., Trofimov D.S. Noise immunity analysis of amplitude and phase-shift keying signals reception in presence of harmonic interference. Naukoemkie tekhnologii = Science Intensive Technologies. 2020;21(1):22–29 (in Russ.). Available from URL: https://www.elibrary.ru/item.asp?edn=fdxmsn&ysclid=lxireoosth700939360

19. Proakis J.G. Digital communications. 4th ed. New York: McGraw-Hill; 2001. 1002 p.

20. Sklar B. Digital Communication: Fundamentals and Application. 2nd ed. Prentice Hall; 2001. 1079 p.

21. Hillier C., Balyan V. Error Detection and Correction On-Board Nanosatellites Using Hamming Codes. J. Electr. Comput. Eng. 2019;6:1–15. https://doi.org/10.1155/2019/3905094