Preview

Doklady BGUIR

Advanced search

Processing of orthogonal frequency-compensated signals transmitted via communication channels with fading

Abstract

The mathematical analysis of the probabilistic characteristics of signals transmitted through compressed communication channels with orthogonal frequency separation in the presence of fading in the communication channel obeying the Nakagami-m distribution law is carried out in the paper. In contrast to previous studies, the effect of a non-uniform distribution of the fading phase in a communication channel on the probability of signal reception errors is examined. A unified mathematical expression of the generating function of moments is presented for the fading coefficients in the communication channel in the frequency domain, distributed in accordance with the Nakagami-m law with non-uniform phase distributions. Thus, the classical methods for determining the generating function of moments can be directly used to determine the exact mathematical representation of the probability of error receiving signals for various types of modulation and diversity of signals.

About the Author

V. P. Tuzlukov
Belarussian state academy of communications
Belarus

Tuzlukov Vyacheslav Petrovich - D.Sci, professor, professor of information and communications department

220013, Minsk, F. Scorina st., 8/2

tel. +375-44-549-35-17





References

1. Nakagami M. The m-distribution – a general formula of intensity distribution of rapid fading // Statistical Methods in Radio Wave Propagation. 1962. Vol. 40. P. 757–768.

2. Aulin A.T. Characteristics of a digital mobile radio channel // IEEE Transactions on Vehicle Technology. 1981. Vol. 30, No. 1. P. 45–53.

3. Charash U. Reception through Naragami fading multipath channels with random delays // IEEE Transactions on Communications. 1979. Vol. 27, No. 4. P. 657–670.

4. Suzuki H. A statistical model for urban multipath // IEEE Transactions on Communications. 1977. Vol. 25, No. 7. P. 673–680.

5. Dwivedi V.K., Singh G. Error-rate analysis of the OFDM for correlated Nakagami-m fading channel by using maximal ratio combining diversity // International Journal of Microwave and Wireless Technology. 2011. Vol. 3, No. 6. P. 717–726.

6. Jain G., Dubey R. BER performance of OFDM system over Nakagami-m fading channels with different modulationschemes // International Journal of Advanced Research in Computer Engineering & Technology (IJARCET). 2012. Vol. 1, No. 6. P. 111–116.

7. Yacoub M.D., Fraidenraich G., Santos Filho J.C.S. Nakagami-m phase-envelope joint distribution // IEEE Electronics Letters. 2005. Vol. 41, No. 3. P. 259–261.

8. Yacoub M.D. Nakagami-m phase-envelope joint distribution: a new model // IEEE Transactions on Vehicle Technology. 2010. Vol. 59, No. 3. P. 1552–1557.

9. Mallik R.K. A new statistical model of the complex Nakagami-m fading chain // IEEE Transactions on Communications. 2010. Vol. 58, No. 9. P. 2611–2620.

10. Sood N., Sharma A.K., Uddin M. On channel estimation of OFDM-BPSK and QPSK over Nakagami-m fading channels // Signal Processing: An International Journal (SPIJ), Signal Processing: An International Journal (SPIJ). 2016. Vol. 4, No. 4. P. 239–246.

11. Kumar I.H., Rao P.N.V. Efficieny BEER analysis of OFDM system over Nakagami-m fading channel // International Journal of Computer Engineering in Research Trends (IJCERT). 2015. Vol. 2, No.11. P. 745–750.

12. Santos Filho J.C.S. On the second-order statistics of Nakagami fading simulators // IEEE Transactions on Communications. 2009. Vol. 57, No. 12. P. 3543–3546.

13. Ma.Y., Zhang D. A method for simulating complex Nakagami fading time series with nonuniform phase and prescribed autocorrelation characteristics // IEEE Transactions on Vehicle Technology. 2010. Vol. 59, No. 1. P. 29–35.

14. Mishra M.K. Sood N., Sharma A.K. New BER analysis of OFDM system over Nakagami-n (Rice) fading channel // International Journal of Computer Science, Engineering and Information Technology. 2015. Vol. 2, No. 1. P. 745–750.

15. Kang Z., Yao K., Lorenzelli F. Nakagami-m fading modeling in the frequency domain for OFDM system analysis // IEEE Communications Letters. 2003. Vol. 7, No. 10. P. 484–486.

16. Du Z., Cheng J., Beaulieu N.C. Accurate error-rate performance analysis of OFDM on frequency-selective Nakagami-m fading channels // IEEE Transactions on Communications. 2006. Vol. 54, No. 2. P. 319–328.

17. Tuzlukov V.P. Signal detection theory. New York: Springer-Verlag, 2001. 746 p.

18. Luo J., Zeidler J.R., McLaughlin S. Performance analysis of compact antenna arrays with MRC in correlated Nakagami fading channels // IEEE Transactions on Vehicle Technology. 2001. Vol. 50, No. 1. P. 267–277.

19. Polprasert C.A., Ritcey J.A. Nakagami fading phase difference distribution and its impact on BER performance // IEEE Transactions on Wireless Communications. 2008. Vol. 7, No. 7. P. 2805–2813.

20. de Souza R.A.A., Yacoub M.D. Bivariate Nakagami-m distribution with arbitrary correlation and fading parameters // IEEE Transactions on Wireless Communications. 2008. Vol. 7, No. 12. P. 5227–5232.

21. New results for the multivariate Nakagami-m fading model with arbitrary correlation matrix and applications / G.C. Alexandropoulos [et al.] // IEEE Transactions on Wireless Communications. 2009. Vol. 8, No. 1. P. 245–255.

22. Reig J. Multivariate Nakagami-m distribution with constant correlation model // AEU International Journal on Electronics and Communications. 2009. Vol. 63, No. 1. P. 46–51.

23. Tuzlukov V.P. Signal processing in radar systems. Boca Raton, London, New York, Washington DC, 2012. 632 p.

24. Tuzlukov V.P. Communications systems: new research. New York: NOVA Science Publishers, Inc., 2013. 423 p.

25. Tuzlukov V.P. Contemporary issues in wireless communications. Croatia: INTECH, 2014. P. 79–158.

26. Gradshteyn I.S., Ryzhik I.M. Table of integrals, series, and products. New York: Academis Press. 2000. 1167 p.

27. Abramowitz M., Stegun I.A. Handbook of mathematical functions. Dover: National Bureau of Standards, 1964. 1064 p.

28. Simon M.K., Alouini M.S. Digital communications over fading channels. New York: John Wiley-IEEE Press, 2004. 936 p.

29. Tuzlukov V.P. Advances in communications and media research. Chapter 6: Detection of spatially distributed signals by generalized receiver using radar sensor array in wireless communication. New York: NOVA Science Publishers, Inc., 2015. P. 143–173.


Review

For citations:


Tuzlukov V.P. Processing of orthogonal frequency-compensated signals transmitted via communication channels with fading. Doklady BGUIR. 2019;(1):11-18. (In Russ.)

Views: 500


Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


ISSN 1729-7648 (Print)
ISSN 2708-0382 (Online)