INFLUENCE OF FREQUENCY NOISE IN A COMMUNICATION CHANNEL ON THE PROBABILITY OF A BIT ERROR DURING TRANSMISSION OF SIGNALS
Abstract
The purpose of the article is to analyze the combined effect of amplitude white Gaussian noise
(AWGN) present in the communication channel and frequency noise (FN) resulting from fluctuations in
the frequency of the signal in the communication channel on the probability of bit error when processing
QAM signals. Research tasks to be solved: 1. Development of a mathematical model for processing the
QAM signal, taking into account the combined effects of AWGN and FN in the communication channel.
2. Numerical study of the combined effect of AWGN and FN on the probability of bit error when processing
QAM signals. A mathematical model is proposed that establishes the relationship between the
signal-to-noise ratio in the channel and the mean square deviation of the signal frequency, on the one
hand, and the probability of bit error during A mathematical model is proposed that establishes the
relationship between the signal-to-noise ratio in the channel and the mean square deviation of the signal
frequency, on the one hand, and the probability of bit error during QAM signal demodulation, on the
other. The visualization of the effects associated with the presence of AWGN and FN in the channel on
the signal constellation of the received QAM signal is given. The main patterns associated with joint
action AWGN and FN in the communication channel are: - the appearance of FN in the communication
channel leads to a decrease in the signal level in the channel during the correlation processing of the
received signal and a corresponding decrease in SNR; - In addition to the blurring of the signal constellation
in the azimuthal direction, associated with the appearance of an integral phase fluctuation due to
frequency fluctuations during the pulse, an increase in the blurring of the signal constellation in the
radial direction causes a decrease in the SNR. Based on the results obtained, it is concluded that it is
necessary to take into account more fully the deviations of the signal parameters in the channel due to
both the presence of AWGN and FN.
References
radionavigatsionnymi sistemami [Electronic warfare with satellite radio navigation systems].
Moscow: Radio i svyaz', 2004, 226 p.
2. Dyatlov A.P., Kul'bikayan B.Kh. Radiomonitoring izlucheniy sputnikovykh
radionavigatsionnykh sistem: monografiya [Radio monitoring of emissions from satellite radio
navigation systems: monograph]. Moscow: Radio i svyaz', 2006, 270 p.
3. Dyatlov A.P., Kul'bikayan B.Kh. Korrelyatsionnaya obrabotka shirokopolosnykh signalov v
avtomatizirovannykh kompleksakh radiomonitoringa [Correlation processing of broadband
signals in automated radio monitoring complexes]. Moscow: Goryachaya liniya–Telekom,
2013, 332 p.
4. Sklyar B. TSifrovaya svyaz'. Teoreticheskie osnovy i prakticheskoe primenenie [Digital communication.
Theoretical foundations and practical application]. Izd. dom «Vil'yams», 2007, 1104 p.
5. Gabriel'yan D.D., Kul'bikayan B.Kh., Safar'yan O.A. Razrabotka chislenno-analiticheskogo
metoda otsenivaniya parametrov sluchaynykh protsessov [Development of a numericalanalytical
method for estimating the parameters of random processes], Vestnik RGUPS
[Vestnik RGUPS], 2019, No. 3 (75), pp. 151-157.
6. Hanzo L. Quadrature Amplitude Modulation: Basics to Adaptive Trellis-Coded, Turbo-
Equalised and Space-Time Coded OFDM, CDMA and MC-CDMA Systems. Wiley-IEEE
Press, 2004.
7. Bakulin M.G., Rejeb T.B.K., Kreyndelin V.B., Mironov Yu.B., Pankratov D.Y., Smirnov A.E. Modulation
for cellular 5G/IMT-2020 and 6G networks, T-Comm., 2022, Vol. 16, 3, pp. 11-17.
8. Wang Y.C., Milstein L.B. Rejection of multiple narrow-band interference in both BPSK and
QPSK DS spread-spectrum systems, IEEE Trans. Commun., 1988, 36, pp. 195-204.
9. Krishnamurthy V., Logothetis A. Adaptive nonlinear filters for narrow-band interference suppression
in spread-spectrum CDMA systems, IEEE Trans. Commun.,1999, 47, pp. 742-753.
10. Soderstrand M.A., Johnson L.G., Phillips S.R. New technique for attenuation of narrow-band
interference with applications in control and communications systems, In Proceedings of the
2006 Fortieth Asilomar Conference on Signals, Systems and Computers, Pacific Grove, CA,
USA, 29 October–1 November 2006, pp. 1027-1031.
11. Borio D., Cano E. Optimal global navigation satellite system pulse blanking in the presence of
signal quantization, IET Signal Process, 2013, 7, pp. 400-410.
12. Gamba M.T., Falletti E. Performance analysis of FLL schemes to track swept jammers in an
adaptive notch filter, In Proceedings of the 2018 9th ESA Workshop on Satellite Navigation
Technologies and European Workshop on GNSS Signals and Signal Processing (NAVITEC),
Noordwijk, The Netherlands, 5–7 December 2018, pp. 1-8.
13. Gamba M.T., Falletti E. Performance comparison of FLL adaptive notch filters to counter
GNSS jamming, In Proceedings of the 2019 International Conference on Localization and
GNSS (ICL-GNSS), Nuremberg, Germany, 4–6 June 2019, pp. 1-6.
14. Kamath V., Lai Y.-C., Zhu L., Urval S. Empirical mode decomposition and blind source separation
methods for antijamming with GPS signals, In Proceedings of the 2006 IEEE/ION Position
Location, And Navigation Symposium, Coronado, CA, USA, 25–27 April 2006, pp. 335-341.
15. Fante R.L., Vaccaro J.J. Wideband cancellation of interference in a GPS receive array, IEEE
Trans. Aerosp. Electron. Syst., 2000, 36, pp. 549-564.
16. Myrick W.L., Goldstein J.S., Zoltowski M.D. Low complexity anti-jam space-time processing
for GPS, In Proceedings of the 2001 IEEE International Conference on Acoustics, Speech, and
Signal Processing. Proceedings (Cat. No.01CH37221), Salt Lake City, UT, USA, 7–11 May
2001, pp. 2233-2236.
17. Musumeci L., Dovis F. Use of the wavelet transform for interference detection and mitigation
in global navigation satellite systems, Int. J. Navig. Obs., 2014, pp. 1-14.
18. Musumeci L., Dovis F. Performance assessment of wavelet based techniques in mitigating
narrow-band interference, In Proceedings of the 2013 International Conference on Localization
and GNSS (ICL-GNSS), Turin, Italy, 25–27 June 2013, pp. 1-6.
19. Daniele B., Pau C. Complex signum non-linearity for robust GNSS interference mitigation,
IET Radar Sonar Navig., 2018, 12, pp. 900-909.
20. Prasad R., van Nee R. OFDM Wireless Multime-dia Communications. L: Artech House,
2000, 275 p.
21. Prokis Dzh. Tsifrovaya svyaz' [Digital communication]: transl. from engl., ed. by
D.D. Klovskogo. Moscow: Radio i svyaz', 2000, 800 p.
22. Artemenko A.A., Mal'tsev A.A., Rubtsov A.E. Vliyanie netochnosti otsenivaniya fazy
nesushchey na veroyatnost' bitovykh oshibok v M-KAM sistemakh peredachi dannykh [Effect
of Carrier Phase Estimation Inaccuracy on Bit Error Probability in M-QAM Data Communication
Systems], Vestnik Nizhegorodskogo universiteta im. N.I. Lobachevskogo [Bulletin of the
Nizhny Novgorod University. N.I. Lobachevsky], 2007, No. 2, pp. 81-87.
