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Error Analysis of 2-tierM-ary Star QAM Modulation in Shadowed Fading Channels

by Sourjya Dutta, Iti Saha Misra
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 88 - Number 1
Year of Publication: 2014
Authors: Sourjya Dutta, Iti Saha Misra
10.5120/15314-3629

Sourjya Dutta, Iti Saha Misra . Error Analysis of 2-tierM-ary Star QAM Modulation in Shadowed Fading Channels. International Journal of Computer Applications. 88, 1 ( February 2014), 9-16. DOI=10.5120/15314-3629

@article{ 10.5120/15314-3629,
author = { Sourjya Dutta, Iti Saha Misra },
title = { Error Analysis of 2-tierM-ary Star QAM Modulation in Shadowed Fading Channels },
journal = { International Journal of Computer Applications },
issue_date = { February 2014 },
volume = { 88 },
number = { 1 },
month = { February },
year = { 2014 },
issn = { 0975-8887 },
pages = { 9-16 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume88/number1/15314-3629/ },
doi = { 10.5120/15314-3629 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:06:28.639956+05:30
%A Sourjya Dutta
%A Iti Saha Misra
%T Error Analysis of 2-tierM-ary Star QAM Modulation in Shadowed Fading Channels
%J International Journal of Computer Applications
%@ 0975-8887
%V 88
%N 1
%P 9-16
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The error performance of the 2-tier star shaped Quadrature Amplitude Modulation scheme over K and KG fading channels are analyzed and evaluated. Novel closed form expressions for Symbol Error Rate (SER) have been derived for M-ary 2-tier circular Star QAM transmitted over the K and KG fading channels. The expressions derived are in the form of sum of single definite integrals of hypergeometric functions which are calculated using numerical methods. The expressions are validated by extensive Monte Carlo simulation. A simple relationship between SER and bit error rate (BER) is proposed and experimentally verified. Using the expressions for SER, the optimum values of ring ratio are calculated for various values of M. It has also been established that the error performance of 2-tier Star QAM is considerably superior to that of the M-ary Square QAM for high and moderate fading.

References
  1. P Mohana Shankar. Error rates in generalized shadowed fading channels. Wirel. Personal Commun. , 28(3):233–238, 2004.
  2. A Abdi, H Allen Barger, and M Kaveh. A simple alternative to the lognormal model of shadow fading in terrestrial and satellite channels. In Proceedings of IEEE VTS 53rd Vehicular Technology Conference (VTC 2001), pages 2058–2062, Rhodes, Greece, 2001. IEEE.
  3. Petros S Bithas, Nikos C Sagias, P Takis Mathiopoulos, George K Karagiannidis, and Athanasios A Rontogiannis. On the performance analysis of digital communications over generalized-K fading channels. IEEE Commun. Lett. , 10(5):353–355, 2006.
  4. TA Tsiftsis. Performance of heterodyne wireless optical communication systems over gamma-gamma atmospheric turbulence channels. Electron. Lett. , 44(5):373–375, 2008.
  5. HE Nistazakis, TA Tsiftsis, and GS Tombras. Performance analysis of free-space optical communication systems over atmospheric turbulence channels. IET Commun. , 3(8):1402–1409, 2009.
  6. Ali Abdi and Mostafa Kaveh. Comparison of DPSK and MSK bit error rates for K and Rayleigh-lognormal fading distributions. IEEE Commun. Lett. , 4(4):122–124, 2000.
  7. George P Efthymoglou, Nikolaos Bissias, and Valentine A Aalo. On the error rate analysis of dual-hop amplify-and-forward relaying in generalized-K fading channels. J. Electr. Comput. Eng. , 2010:31, 2010.
  8. PR Gould, WT Webb, and R Steele. Communications to the home via Star QAM. In Proceedings of IEE Colloquium on Customer Access-the Last 1. 6 km, pages 7–1, London, 1993. IET.
  9. W. T. Webb and R. Steele. Variable rate QAM for mobile radio. IEEE Trans. Commun. , 43(7):2223–2230, 1995.
  10. N. Wu, H. Wang, J. M. Kuang, and C. X. Yan. Performance analysis and design optimization of non-data-aided carrier frequency estimator for APSK signals. IEICE Trans. Commun. , E95-B(6):2080–2086, June 2012.
  11. Mariia Sorokina, Stylianos Sygletos, Andrew D Ellis, and Sergei Turitsyn. Optimal packing for cascaded regenerative transmission based on phase sensitive amplifiers. Optics Express, 21(25):31201–31211, 2013.
  12. Noriko Iiyama, Jun-ichi Kani, Jun Terada, and Naoto Yoshimoto. Feasibility study on a scheme for coexistence of dsp-based PON and 10-gbps/ PON using hierarchical star QAM format. J. Lightwave Technology, 31(18):3085–3092, 2013.
  13. Hongyu Zhang, Pooi-Yuen Kam, and Changyuan Yu. Optimal ring ratio of 16-star quadrature amplitude modulation in coherent optical communication systems. In Proceedings of 16th OptoeElectronics and Communications Conference (OECC), 2011, pages 577–578, Kaohsiung, 2011. IEEE.
  14. Hongyu Zhang, Pooi-Yuen Kam, and Changyuan Yu. Performance analysis of coherent optical 8-star QAM systems using decision-aided maximum likelihood phase estimation. Optics Express, 20(8):9302–9311, 2012.
  15. Youngjun Kim and Young-Chai Ko. Detection of quantum circular QAM signals. In Proceedings of the International Conference on ICT Convergence (ICTC), 2013, pages 1078–1082, Jeju Island, Korea (South), October 2013. IEEE.
  16. Sourjya Dutta and Aniruddha Chandra. Accurate SER expressions for M-ary dual ring star QAM in fading channels. In Proceedings of International Conference on Communications, Devices and Intelligent Systems (CODIS), 2012, pages 1–4, Kolkata, India, 2012. IEEE.
  17. Xiaodai Dong, Norman C Beaulieu, and Paul H Wittke. Error probabilities of two-dimensional M-ary signaling in fading. IEEE Trans. Commun. , 47(3):352–355, 1999.
  18. I. S. Barbounakis and A. M. Papadakis. Closed-form SER expressions for star MQAM in frequency non-selective Rician and Nakagami-mchannels. Int. J. Electron. Commun. , 59(7):417–420, November 2005.
  19. Marvin K Simon and Mohamed Slim Alouini. A unified approach to the performance analysis of digital communication over generalized fading channels. Proc. IEEE, 86(9):1860–1877, 1998.
  20. Danijela Aleksi´c, Mihajlo Stefanovi´c, Zoran Popovi´c, Dragan Radenkovi´c, and Jovan D Risti´c. On the K and KG fading channels. Serbian J. of Electr. Eng. , 6(1):187–201, 2009.
  21. Harry Bateman and Arthur Erd´elyi. Higher Transcendental Functions. Krieger, Melbourne, 1981.
  22. GA Lampropoulos, A Drosopoulos, N Rey, et al. High resolution radar clutter statistics. IEEE Trans. Aerosp. Electron. Syst. , 35(1):43–60, 1999.
  23. D Lewinski. Nonstationary probabilistic target and clutter scattering models. IEEE Trans. Antennas Propag. , 31(3):490–498, 1983.
  24. Izrail S Gradshteyn and IM Ryzhik. Table of Integrals, Series and Products. Academic, New York, (1. 421), 1980.
  25. J. W. Craig. A new, simple, and exact result for calculating the probability of error for two-dimensional signal constellations. In Proceedings of IEEE MilitaryCommunications Conference (MILCOM91), pages 571–575, McLean, VA, USA, October 1991.
  26. Lei Xiao and Xiaodai Dong. The exact transition probability and bit error probability of two-dimensional signaling. IEEE Trans. Wireless Commun. , 4(5):2600–2609, 2005.
  27. L. N. Binh. Dual-ring 16-star QAM direct and coherent detection in 100 Gb/s optically amplified fiber transmission: simulation. Opt. Quantum Electron. , 40(10):707–732, August 2008.
  28. D Robert Iskander and Abdelhak M Zoubir. Estimation of the parameters of the k-distribution using higher order and fractional moments [radar clutter]. , IEEE Trans. Aerosp. Electron. Syst. , 35(4):1453–1457, 1999.
  29. Seong Taek Chung and Andrea J Goldsmith. Degrees of freedom in adaptive modulation: a unified view. IEEE Trans. Commun. , 49(9):1561–1571, 2001.
Index Terms

Computer Science
Information Sciences

Keywords

Star Quadrature Amplitude Modulation (QAM) Rayleigh-Gamma(K) Nakagami-Gamma(KG) Fading Shadowing Symbol Error Rate(SER) Bit Error Rate(BER)