Skip to main content
SpringerLink
Log in

MGF Approach to Compute the Packet Error Probability and Throughput for OFDM, CDMA and MC-CDMA Systems

  • Research Article - Electrical Engineering
  • Published:
Arabian Journal for Science and Engineering Aims and scope Submit manuscript

Abstract

In this paper, we present a new approach to evaluate the packet error probability (PEP) of code-division multiple access (CDMA), multi-carrier CDMA (MC-CDMA) and orthogonal frequency-division multiple access systems. The PEP is computed using the moment-generating function of signal-to-noise ratio. Our approach uses an approximation of the Marcum Q-function and allows to evaluate the PEP in closed form without any integration. The obtained theoretical results were compared to simulations, and their validity was confirmed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Simon, M.K.; Alouini, M.S.: Digital Communication Over Fading Channels. Wiley, New York (2005)

    Google Scholar 

  2. Alouini, M.-S.; Simon, M.K.: An MGF based performance analysis of generalized selection combining over Rayleigh fading channels. IEEE Trans. Commun. 48(3), 401–415 (2000). https://doi.org/10.1109/26.837044

    Article  Google Scholar 

  3. Di Renzo, M.; Graziosi, F.; Santucci, F.: Channel capacity over generalized fading channels: a novel MGF-based approach for performance analysis and design of wireless systems. IEEE Trans. Veh. Technol. 59(1), 127–149 (2010). https://doi.org/10.1109/TVT.2009.2030894

    Article  Google Scholar 

  4. Tellambura, C.; Annamalai, A.; Bhargava, V.K.: Closed form and infinite series solutions for the MGF of a dual-diversity selection combiner output in bivariate Nakagami fading. IEEE Trans. Commun. 51(4), 539–542 (2003). https://doi.org/10.1109/TCOMM.2003.810870

    Article  Google Scholar 

  5. Tellambura, C.; Senaratne, D.: Accurate computation of the MGF of the lognormal distribution and its application to sum of lognormals. IEEE Trans. Commun. 58(5), 1568–1577 (2010). 10.1109/TCOMM.2010.05.080640

    Article  Google Scholar 

  6. Nam, S.S.; Alouini, M.-S.; Yang, H.-C.: An MGF-based unified framework to determine the joint statistics of partial sums of ordered random variables. IEEE Trans. Inf. Theory 56(11), 5655–5672 (2010). https://doi.org/10.1109/TIT.2010.2070271

    Article  MathSciNet  MATH  Google Scholar 

  7. Tellambura, C.; Soysa, M.; Senaratne, D.: Performance analysis of wireless systems from the MGF of the reciprocal of the signal-to-noise ratio. IEEE Commun. Lett. 15(1), 55–57 (2011). https://doi.org/10.1109/LCOMM.2010.111910.101902

    Article  Google Scholar 

  8. Lopez-Martinez, F.J.; Romero-Jerez, J.M.; Paris, J.F.: On the calculation of the incomplete MGF with applications to wireless communications. IEEE Trans. Commun. 65(1), 458–469 (2017). https://doi.org/10.1109/TCOMM.2016.2626440

    Google Scholar 

  9. Lopez-Martinez, F.J.; Romero-Jerez, J.M.; Paris, J.F.: On the calculation of the incomplete MGF with applications to wireless communications. IEEE Trans. Commun. 65(1), 458–469 (2017)

    Google Scholar 

  10. Pea-Martn, J.P.; Romero-Jerez, J.M.; Javier Lopez-Martinez, F.: Generalized MGF of Beckmann fading with applications to wireless communications performance analysis. IEEE Trans. Commun. 65(9), 3933–3943 (2017)

    Article  Google Scholar 

  11. Jadon, M.; Paliwal, G.: A closed form expression for BER over alpha-Mu fading based on novel MGF. In: Proceedings of 3rd International Conference on Reliability, Infocom Technologies and Optimization, pp. 1–5 (2014)

  12. Aalo, V.A.; Efthymoglou, G.P.: On the MGF and BER of linear diversity schemes in nakagami fading channels with arbitrary parameters. In: VTC Spring 2009–IEEE 69th Vehicular Technology Conference, pp. 1–5 (2009)

  13. Pea-Martn, J.P.; Romero-Jerez, J.M.; Lopez-Martinez, F.J.: Generalized MGF of Beckmann fading with applications to wireless communications performance analysis. IEEE Trans. Commun. 65(9), 3933–3943 (2017)

    Article  Google Scholar 

  14. Aggarwal, M.; Garg, P.; Puri, P.: A novel MGF-based approach to analyze SIM-based relayed FSO systems. In: International Conference on Advances in Computing, Communications and Informatics (ICACCI), pp. 2526–2530 (2014)

  15. Paliwal, G.; Jadon, M.; Singh, S.P.: A novel MGF based capacity over alpha-Mu fading distribution. In: International Conference on Medical Imaging, m-Health and Emerging Communication Systems (MedCom), pp. 306–310 (2014)

  16. Rao, M.; Lopez-Martinez, F.J.; Alouini, M.-S.; Goldsmith, A.: MGF approach to the capacity analysis of generalized two-ray fading models. In: IEEE International Conference on Communications (ICC), pp. 4278–4284 (2015)

  17. Kumar, R.; Kumar, A.; Singh, S.P.: MGF based closed form solution for channel capacity over generalized-G fading under MRC diversity combining. In: International Conference on Computational Intelligence and Communication Networks, pp. 207–211 (2014)

  18. Paliwal, G.; Jadon, M.; Singh, S.P.: A novel MGF based capacity over alpha-Mu fading distribution. In: 2014 International Conference on Medical Imaging, m-Health and Emerging Communication Systems (MedCom), pp. 306–310 (2014)

  19. Kumar, A.; Kumar, R.; Singh, S.P.: MGF based closed form solution for channel capacity over generalized-G fading under EGC diversity combining. In: International Conference on Medical Imaging, m-Health and Emerging Communication Systems (MedCom), pp. 295–299 (2014)

  20. Kumar, A.; Kumar, R.; Singh, S.P.: MGF based closed form solution for channel capacity over generalized-G fading under EGC diversity combining. In: 2014 International Conference on Medical Imaging, m-Health and Emerging Communication Systems (MedCom), pp. 295–299 (2014)

  21. Shi, Q.: A unified MGF based approach to the analysis of area under the ROC curve of energy detection over generalized fading channels. In: IEEE International Conference on Signal Processing, Communication and Computing (ICSPCC 2013), pp. 1–4 (2013)

  22. Chiani, M.; Dardari, D.: Improved exponential bounds and approximation for the Q-function with application to average probability computation. In: GLOBECOM (2002)

  23. Chiani, M.; Dardari, D.; Simon, M.K.: New exponential bounds and approximations for the computation of error probability in fading channels. IEEE Trans. Wirel. Commun. 2(4), 840–845 (2003)

    Article  Google Scholar 

  24. Boujemâa, H.; Siala, M.: On the rake receiver performance. VTC Fall, Vol. 3, pp. 1483–1488. Boston (2000)

  25. Boujema, H.: Exact and asymptotic bit error probability of cooperative DS-CDMA systems using decode-and-forward relaying in the presence of multipath propagation. IEEE Trans. Wirel. Commun. 8(9), 4464–4469 (2009)

    Article  Google Scholar 

  26. Shinsuke, S.; Prasad, R.: Design and performance of multicarrier CDMA systems in frequency selective Rayleigh fading channels. IEEE Trans. Veh. Technol. 48(5), 1584–1595 (1999)

    Article  Google Scholar 

  27. Hara, S.; Prasad, R.: Overview of multicarrier CDMA. IEEE Commun. Mag. 35, 126–133 (1997)

    Article  Google Scholar 

  28. Proakis, J.G.: Digital Communications, 4th edn. M.C. Graw-Hill, New York (2001)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. King Abdulaziz University, Jeddah, Kingdom of Saudi Arabia

    Ghassan Alnwaimi

  2. Sup’Com, COSIM Research Laboratory, Tunis, Tunisia

    Hatem Boujemaa

Authors
  1. Ghassan Alnwaimi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Hatem Boujemaa
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ghassan Alnwaimi.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Alnwaimi, G., Boujemaa, H. MGF Approach to Compute the Packet Error Probability and Throughput for OFDM, CDMA and MC-CDMA Systems. Arab J Sci Eng 44, 7003–7011 (2019). https://doi.org/10.1007/s13369-019-03741-w

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13369-019-03741-w

Keywords

Search

Navigation