SER and throughput analysis of space–time analog network coded relaying system over shadowed Rician fading channels

  • Shujaat Ali Khan Tanoli
  • Ali MustafaEmail author
  • Faiza Nawaz
  • Imran Khan
  • Muhammad Usman
  • Zuhaib Ashfaq Khan


This research article presents an innovative approach based on analog network coding (ANC) in conjunction with space time block coding (STBC) which is termed as space time analog network coding (STANC). The STANC investigated as an affective network coding strategy to combat the effects of shadowing and path loss in wireless networks. The another objective of this research work is to evaluate the impact of relay location on system performance in increasing shadowing effect due to increasing tall structure like multistory building in metropolitan area. The performance of the proposed system is analyzed in terms of symbol error rate (SER), STANC gain and ergodic capacity using analytical expressions. Moment generating function approach is used to drive the SER for M-PSK modulated signals. The approximate closed-form expression of ergodic capacity is presented using the derived mean and second moment for STANC based cooperative system. Rician shadowed model is used which efficiently evaluate the effect of shadowing as compared to other fading models given in the literature which is the main advantage of this model. Numerical results signify that the approximated analytical expressions derived can be effectively used for performance improvement under path loss and shadowing effect as compared to simple ANC based system.


Network coding Analog network coding Rician fading channels Space–time analog network coding Capacity analysis SER analysis 



  1. 1.
    Ahlswede, R., Cai, N., Li, S.-Y., & Yeung, R. (2000). Network information flow. IEEE Transactions on Information Theory, 46(4), 1204–1216.MathSciNetCrossRefzbMATHGoogle Scholar
  2. 2.
    Wang, S., Venkateswaran, V., & Zhang, X. (2017). Fundamental analysis of full-duplex gains in wireless networks. IEEE/ACM Networks Transactions, 25, 1401–1416.CrossRefGoogle Scholar
  3. 3.
    Yu, Q., Zhang, D., Chen, H., & Meng, W. (2016). Physical-layer network coding systems with MFSK modulation. IEEE Transactions on Vehicular Technology, 65, 204–213.CrossRefGoogle Scholar
  4. 4.
    Cheng, Y., & Yang, L. (2013). Joint relay ordering and linear finite field network coding for multiple-source multiple-relay wireless sensor networks. International Journal of Distributed Sensor Networks, 9(10), 729–869.Google Scholar
  5. 5.
    Maric, I., Goldsmith, A., & Medard, M. (2007). Information-theoretic relaying for multicast in wireless networks. In IEEE Military Communications Conference (pp. 1–7).Google Scholar
  6. 6.
    Liu, Y., Zhang, W., & Ching, P. C. (2016). Time-reversal space–time codes in asynchronous two-way relay networks. IEEE Transactions on Wireless Communications, 15(3), 1729–1741.CrossRefGoogle Scholar
  7. 7.
    Rankoy, B., & Wittneben, A. (2007). Spectral efficient protocols for half-duplex fading relay channels. IEEE Journal of Selected Areas in Communications, 25(2), 379–389.CrossRefGoogle Scholar
  8. 8.
    Zheng, L., Xia, X.-G., & Li, B. (2009). Achieving full diversity and fast ML decoding via simple analog network coding for asynchronous two-way relay networks. IEEE Transactions on Communications, 57(12), 3672–3681.CrossRefGoogle Scholar
  9. 9.
    Wei, L., & Chen, W. (2013). Space–time analog network coding for multiple access relay channels. In IEEE Wireless Communications and Networking Conference (pp. 2961–2965).Google Scholar
  10. 10.
    Agrawal, R. (2005). Performance of routing strategy (bit error based) in fading environments for mobile adhoc networks. In IEEE International Conference on Personal Wireless Communications (pp. 550–554).Google Scholar
  11. 11.
    Loo, C. (1985). A statistical model for a land mobile satellite link. IEEE Transactions on Vehicular Technology, 34, 122–127.CrossRefGoogle Scholar
  12. 12.
    Abdi, A., Lau, W. C., Alouini, M. S., & Kaveh, M. (2003). A new simple model for land mobile-satellite channels: First and second order statistics. IEEE Transaction on Wireless Communications., 2(3), 519–528.CrossRefGoogle Scholar
  13. 13.
    Uysal, M., & Georghiades, C. N. (2004). Effect of shadowing on the performance of space–time trellis coded systems. IEEE Transactions on Wireless Communications, 3(4), 1037–1042.CrossRefGoogle Scholar
  14. 14.
    Uysal, M., & Georghiades, C. N. (2004). Upper bounds on the BER performance of MTCM-STBC schemes over shadowed Rician fading channels. EURASIP Journal on Advances in Signal Processing, 9, 904563.CrossRefGoogle Scholar
  15. 15.
    Uysal, M., & Georghiades, C. N. (2004). Upper bounds on the BER performance of MTCM-STBC schemes over shadowed Rician fading channels. EURASIP Journal on Applied Signal Processing, 9, 1238–1245.Google Scholar
  16. 16.
    Ropokis, G. A., Rontogiannis, A. A., Berberidis, K., & Mathiopoulos, P. T. (2009). Performance analysis of maximal ratio combining over shadowed Rician fading channels. In International Workshop on Satellite and Space Communications (pp. 83–87).Google Scholar
  17. 17.
    Zang, G., & Li, G. (2006). Performance analysis of orthogonal space–time block codes over shadowed Rician fading channels. In Information Theory Workshop (pp. 453–457).Google Scholar
  18. 18.
    Li, Z., Fu, X., Wang, S., Ti, P., & Jie, L. (2018). Achievable rate maximization for cognitive hybrid satellite-terrestrial networks with AF-relays. IEEE Journal on Selected Areas in Communications, 36(2), 304–313.CrossRefGoogle Scholar
  19. 19.
    Ikki, S., & Ahmed, M. H. (2008). Performance analysis of incremental relaying cooperative diversity networks over Rayleigh fading channels. In IEEE Wireless Communications and Networking Conference (pp. 1311–1315).Google Scholar
  20. 20.
    Kumar, N., & Bhatia, V. (2015). Performance analysis of amplify-and-forward cooperative networks with best-relay selection over Weibull fading channels. Wireless Personal Communications, 85, 641–653.CrossRefGoogle Scholar
  21. 21.
    Gradshteyn, I. S., & Ryzhik, I. M. (2007). Table of integrals, series and products (7th ed., p. 341). New York: Academic Press.zbMATHGoogle Scholar
  22. 22.
    Gacanin, H., & Adachi, F. (2010). Broadband analog network coding. IEEE Transaction on wireless communication, 9(5), 1577–1583.CrossRefGoogle Scholar
  23. 23.
    Proakis, J. (2001). Digital communications (4th ed.). New York: McGraw-Hill.zbMATHGoogle Scholar
  24. 24.
    Men, J., Ge, J., & Zhang, C. (2016). Performance analysis of nonorthogonal multiple access for relaying networks over Nakagami-m fading channels. IEEE Transactions on Vehicular Technology, 66(2), 1200–1208.CrossRefGoogle Scholar
  25. 25.
    Chen, S., Wang, W., & Zhang, X. (2009). Ergodic and outage capacity analysis of cooperative diversity systems under Rayleigh fading channels. In IEEE International Conference on Communications Workshops (pp. 1–5).Google Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • Shujaat Ali Khan Tanoli
    • 1
  • Ali Mustafa
    • 1
    • 2
    Email author
  • Faiza Nawaz
    • 1
  • Imran Khan
    • 3
  • Muhammad Usman
    • 3
  • Zuhaib Ashfaq Khan
    • 1
  1. 1.Department of Electrical and Computer EngineeringCOMSATS University IslamabadAttockPakistan
  2. 2.Department of Electrical EngineeringBahria UniversityIslamabadPakistan
  3. 3.Department of Computer Software EngineeringUET, Mardan CampusMardanPakistan

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