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An Approximate Error Expression for RQAM Scheme under α-η-µ Fading Conditions

Year 2019, Volume: 7 Issue: 2, 208 - 212, 30.04.2019
https://doi.org/10.17694/bajece.465158

Abstract

In this paper, average symbol error rate
(ASER) performance of rectangular quadrature amplitude modulation (RQAM) scheme
is analyzed over α-η-µ fading channels. First, an ASER expression is derived
based on Chernoff approximation of Gaussian Q-function.
Then, an asymptotic ASER formula is obtained for analyzing system behavior at
high signal-to-noise ratio (SNR) regime. The ASER performance is presented for
different modulation levels and fading parameter values. In addition, relative
truncation error (RTE) is illustrated in order to determine how many terms are
needed for the computation of proposed expression. It is shown that analytical
results are in close agreement with exact results.

References

  • [1] D. Dixit, , P.R. Sahu, “Performance analysis of rectangular QAM with SC receiver over Nakagami-m fading channels”, IEEE Communications Letters, Vol.18, No.7, 2014, pp.1262-1265.
  • [2] D. Dixit, P. R. Sahu, “Symbol error rate of rectangular QAM with best-relay selection in cooperative systems over Rayleigh fading channels”, IEEE Communications Letters, Vol.16, No.4, 2012, pp.466-469.
  • [3] G. K. Karagiannidis, “On the symbol error probability of general order rectangular QAM in Nakagami-m fading”, IEEE Communications Letters, Vol.10, No.11, 2006, pp.745-747.
  • [4] X. Lei, P. Fan, L. Hao, “Exact symbol error probability of general order rectangular QAM with MRC diversity reception over Nakagami-m fading channels”, IEEE Communications Letters, Vol.11, No.12, 2007, pp.958-960.
  • [5] N. Kumar, P. K. Singya, V. Bhatia, “ASER analysis of hexagonal and rectangular QAM schemes in multiple-relay networks”, IEEE Transactions on Vehicular Technology, Vol.67, No.2, 2018, pp.1815-1819.
  • [6] N. Kumar, V. Bhatia, “Exact ASER analysis of rectangular QAM in two-way relaying networks over Nakagami-m fading channels”, IEEE Wireless Communications Letters, Vol.5, No.5, 2016, pp.548-551.
  • [7] V. Asghari, D.B. da Costa, S. Aissa, “Symbol error probability of rectangular QAM in MRC systems with correlated η-µ fading channels”, IEEE Transactions on Vehicular Technology, Vol.59, No.3, 2010, pp.1497-1503.
  • [8] N. Kapucu, M. Bilim, I. Develi, “Outage performance of cooperative DS-CDMA systems with best path selection over α-η-µ fading channels”, Electronics Letters, Vol.53, No.11, 2017, pp.752-754.
  • [9] O.S. Badarneh, M.S. Aloqlah, “Performance analysis of digital communication systems over α-η-μ fading channels”, IEEE Transactions on Vehicular Technology, Vol.65, No.10, 2016, pp.7972-7981.
  • [10] M.K. Simon, M.-S. Alouini, Digital Communication over Fading Channels, John Wiley & Sons, 2000. [11] I.S. Gradshteyn, I.M. Ryzhik, Table of Integrals, Series and Products, Academic Press, 2000.
  • [12] S.S. Soliman, N.C. Beaulieu, “The bottleneck effect of Rician fading in dissimilar dual-hop AF relaying systems”, IEEE Transactions on Vehicular Technology, Vol.63, No.4, 2014, pp.1957-1965.
Year 2019, Volume: 7 Issue: 2, 208 - 212, 30.04.2019
https://doi.org/10.17694/bajece.465158

Abstract

References

  • [1] D. Dixit, , P.R. Sahu, “Performance analysis of rectangular QAM with SC receiver over Nakagami-m fading channels”, IEEE Communications Letters, Vol.18, No.7, 2014, pp.1262-1265.
  • [2] D. Dixit, P. R. Sahu, “Symbol error rate of rectangular QAM with best-relay selection in cooperative systems over Rayleigh fading channels”, IEEE Communications Letters, Vol.16, No.4, 2012, pp.466-469.
  • [3] G. K. Karagiannidis, “On the symbol error probability of general order rectangular QAM in Nakagami-m fading”, IEEE Communications Letters, Vol.10, No.11, 2006, pp.745-747.
  • [4] X. Lei, P. Fan, L. Hao, “Exact symbol error probability of general order rectangular QAM with MRC diversity reception over Nakagami-m fading channels”, IEEE Communications Letters, Vol.11, No.12, 2007, pp.958-960.
  • [5] N. Kumar, P. K. Singya, V. Bhatia, “ASER analysis of hexagonal and rectangular QAM schemes in multiple-relay networks”, IEEE Transactions on Vehicular Technology, Vol.67, No.2, 2018, pp.1815-1819.
  • [6] N. Kumar, V. Bhatia, “Exact ASER analysis of rectangular QAM in two-way relaying networks over Nakagami-m fading channels”, IEEE Wireless Communications Letters, Vol.5, No.5, 2016, pp.548-551.
  • [7] V. Asghari, D.B. da Costa, S. Aissa, “Symbol error probability of rectangular QAM in MRC systems with correlated η-µ fading channels”, IEEE Transactions on Vehicular Technology, Vol.59, No.3, 2010, pp.1497-1503.
  • [8] N. Kapucu, M. Bilim, I. Develi, “Outage performance of cooperative DS-CDMA systems with best path selection over α-η-µ fading channels”, Electronics Letters, Vol.53, No.11, 2017, pp.752-754.
  • [9] O.S. Badarneh, M.S. Aloqlah, “Performance analysis of digital communication systems over α-η-μ fading channels”, IEEE Transactions on Vehicular Technology, Vol.65, No.10, 2016, pp.7972-7981.
  • [10] M.K. Simon, M.-S. Alouini, Digital Communication over Fading Channels, John Wiley & Sons, 2000. [11] I.S. Gradshteyn, I.M. Ryzhik, Table of Integrals, Series and Products, Academic Press, 2000.
  • [12] S.S. Soliman, N.C. Beaulieu, “The bottleneck effect of Rician fading in dissimilar dual-hop AF relaying systems”, IEEE Transactions on Vehicular Technology, Vol.63, No.4, 2014, pp.1957-1965.
There are 11 citations in total.

Details

Primary Language English
Subjects Electrical Engineering
Journal Section Araştırma Articlessi
Authors

Nuri Kapucu 0000-0002-8399-5546

Publication Date April 30, 2019
Published in Issue Year 2019 Volume: 7 Issue: 2

Cite

APA Kapucu, N. (2019). An Approximate Error Expression for RQAM Scheme under α-η-µ Fading Conditions. Balkan Journal of Electrical and Computer Engineering, 7(2), 208-212. https://doi.org/10.17694/bajece.465158

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