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SER and Outage Probability Analysis of Double RIS Assisted Wireless Communication System

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Abstract

Reconfigurable Intelligent Surface (RIS) can enhance the performance of wireless communication systems in scenarios where there is an obstruction in the direct Line-of-Sight between transceivers. In this paper, we propose a double RIS assisted wireless communication system with no direct link present between source and destination with first RIS (R1) near to the source, second RIS (R2) near to the destination, and both RIS will independently assist the communication between source and destination. The analysis includes moment generating function-based symbol error rate evaluation and the derivation of simplified closed-form expression for the outage probability (OP) in terms of the Q-function over Rician and Rayleigh fading channels. A fair comparative performance evaluation, considering an identical number of RIS elements in two systems, is conducted against a single RIS-assisted system with the RIS positioned midway between the source and destination. The analytical findings are corroborated through Monte Carlo simulations and an in-depth examination of the energy consumption gain reveals that the proposed double RIS-assisted system surpasses the single RIS-assisted system in terms of SER and OP while exhibiting lower energy requirements.

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Data sharing is not applicable to this article as no datasets were generated during the current study.

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Not Applicable.

Notes

  1. Rician fading will be suitable for the scenarios with strong LoS Path such as indoor area.

  2. Rayleigh fading will be suitable for the scenarios with no LoS Path and non-LoS paths such as outdoor environment.

  3. MATLAB lacks direct support for special functions with fractional orders like the Marcum Q function.

References

  1. Basar, E., Di Renzo, M., De Rosny, J., Debbah, M., Alouini, M.-S., & Zhang, R. (2019). Wireless communications through reconfigurable intelligent surfaces. IEEE Access, 7, 116753–116773. https://doi.org/10.1109/ACCESS.2019.2935192

    Article  Google Scholar 

  2. Wu, Q., & Zhang, R. (2020). Towards smart and reconfigurable environment: intelligent reflecting surface aided wireless network. IEEE Communications Magazine, 58(1), 106–112. https://doi.org/10.1109/MCOM.001.1900107

    Article  Google Scholar 

  3. Di Renzo, M., et al. (2020). Smart radio environments empowered by reconfigurable intelligent surfaces: How it works, state of research, and the road ahead. IEEE Journal on Selected Areas in Communications, 38(11), 2450–2525. https://doi.org/10.1109/JSAC.2020.3007211

    Article  Google Scholar 

  4. Wu, Q., Zhang, S., Zheng, B., You, C., & Zhang, R. (2021). Intelligent reflecting surface-aided wireless communications: A tutorial. IEEE Transactions on Communications, 69(5), 3313–3351. https://doi.org/10.1109/TCOMM.2021.3051897

    Article  Google Scholar 

  5. Boulogeorgos, A.-A.A., & Alexiou, A. (2020). Performance analysis of reconfigurable intelligent surface-assisted wireless systems and comparison with relaying. IEEE Access, 8, 94463–94483. https://doi.org/10.1109/ACCESS.2020.2995435

    Article  Google Scholar 

  6. Björnson, E., Özdogan, Ö., & Larsson, E. G. (2020). Intelligent reflecting surface versus decode-and-forward: How large surfaces are needed to beat relaying? IEEE Wireless Communications Letters, 9(2), 244–248. https://doi.org/10.1109/LWC.2019.2950624

    Article  Google Scholar 

  7. You, L., Xiong, J., Ng, D. W. K., Yuen, C., Wang, W., & Gao, X. (2021). Energy efficiency and spectral efficiency tradeoff in ris-aided multiuser mimo uplink transmission. IEEE Transactions on Signal Processing, 69, 1407–1421. https://doi.org/10.1109/TSP.2020.3047474

    Article  ADS  MathSciNet  Google Scholar 

  8. Yang, L., Yang, Y., Hasna, M. O., & Alouini, M. S. (2020). Coverage, probability of SNR Gain, and DOR analysis of RiS-aided communication systems. IEEE Wireless Communications Letters, 9(8), 1268–1272. https://doi.org/10.1109/LWC.2020.2987798

    Article  Google Scholar 

  9. Alanazi, F. (2021). Physical layer security of non orthogonal multiple access using reconfigurable intelligent surfaces. Wireless Personal Communications. https://doi.org/10.1007/s11277-021-08985-0

    Article  Google Scholar 

  10. Alnwaimi, G., & Boujemaa, H. (2021). Non orthogonal multiple access using reconfigurable intelligent surfaces. Wireless Personal Communications, 121(3), 1607–1625. https://doi.org/10.1007/s11277-021-08687-7

    Article  Google Scholar 

  11. Alhamad, R., & Boujemaa, H. (2021). Non orthogonal multiple access for millimeter wave communications using intelligent reflecting surfaces. Wireless Personal Communications. https://doi.org/10.1007/s11277-021-09021-x

    Article  Google Scholar 

  12. Do, T. N., Kaddoum, G., Nguyen, T. L., da Costa, D. B., & Haas, Z. J. (2021). Multi-RIS-aided wireless systems: Statistical characterization and performance analysis. IEEE Transactions on Communications, 69(12), 8641–8658. https://doi.org/10.1109/TCOMM.2021.3117599

    Article  Google Scholar 

  13. Galappaththige, D. L., Kudathanthirige, D., & Amarasuriya, G. (2020). Performance Analysis of Distributed Intelligent Reflective Surface Aided Communications. In: 2020 IEEE Global Communications Conference, GLOBECOM 2020 - Proceedings, 2020-Janua, 1–30. https://doi.org/10.1109/GLOBECOM42002.2020.9348102

  14. Tam, D. T., Nguyen, B. C., Lam, S. C., Vinh, N. V., & Nguyen, T. N. (2023). Ser performance of millimeter-wave communications with multiple reconfigurable intelligent surfaces and transmit antenna selection. AEU - International Journal of Electronics and Communications, 160, 154517. https://doi.org/10.1016/j.aeue.2022.154517

    Article  Google Scholar 

  15. Yang, L., Yang, Y., Da Costa, D. B., & Trigui, I. (2021). Outage probability and capacity scaling law of multiple RIS-aided networks. IEEE Wireless Communications Letters, 10(2), 256–260. https://doi.org/10.1109/LWC.2020.3026712

    Article  Google Scholar 

  16. Li, J., Zhang, L., Xue, K., Fang, Y., & Sun, Q. (2021). Secure transmission by leveraging multiple intelligent reflecting surfaces in MISO systems. IEEE Transactions on Mobile Computing, 1233, 1–14. https://doi.org/10.1109/TMC.2021.3114167

    Article  Google Scholar 

  17. Yang, Z., et al. (2022). Energy-efficient wireless communications with distributed reconfigurable intelligent surfaces. IEEE Trans- actions on Wireless Communications, 21(1), 665–679. https://doi.org/10.1109/TWC.2021.3098632

    Article  ADS  Google Scholar 

  18. Yang, S., Lyu, W., Xiu, Y., Zhang, Z., & Yuen, C. (2023). Active 3D double-ris-aided multi-user communications: Two-timescale-based separate channel estimation via bayesian learning. IEEE Transactions on Communications, 71(6), 3605–3620. https://doi.org/10.1109/TCOMM.2023.3265115

    Article  Google Scholar 

  19. Han, Y., Zhang, S., Duan, L., & Zhang, R. (2020). Cooperative double-IRS aided communication: Beamforming design and power scaling. IEEE Wireless Communications Letters, 9(8), 1206–1210. https://doi.org/10.1109/LWC.2020.2986290

    Article  Google Scholar 

  20. Dong, L., Wang, H. M., Bai, J., & Xiao, H. (2021). Double Intelligent Reflecting Surface for Secure Transmission with Inter-Surface Signal Reflection. IEEE Transactions on Vehicular Technology, 70(3), 2912–2916. https://doi.org/10.1109/TVT.2021.3062059

    Article  Google Scholar 

  21. Proakis, J. G. (2008). Digital communications (5th ed.). McGraw- Hill.

  22. Simon, M., & Alouini, M. S. (2005). Digital communications over fading channels (2nd ed.). Wiley.

    Google Scholar 

  23. Sun, Y., Baricz, Á., & Zhou, S. (2010). On the monotonicity, log-concavity, and tight bounds of the generalized marcum and nuttall Q-functions. IEEE Transactions on Information Theory, 56(3), 1166–1186. https://doi.org/10.1109/TIT.2009.2039048

    Article  MathSciNet  Google Scholar 

  24. Gradshteyn, I. S., & Ryzhik, I. M. (2007). Table of integrals, series, and products (7th ed.). Academic.

    Google Scholar 

  25. Han, C., et al. (2011). Green radio: Radio techniques to enable energy-efficient wireless networks. IEEE Communications Magazine, 49(6), 46–54. https://doi.org/10.1109/MCOM.2011.5783984

    Article  Google Scholar 

  26. Zhang, J., Fei, L., Gao, Q., & Peng, X.-H. (2011). Energy-efficient multihop cooperative MISO transmission with optimal HopdistanceinwirelessAdHoc networks. IEEE Transactions on Wireless Communications, 10(10), 3426–3435. https://doi.org/10.1109/TWC.2011.081011.102210

    Article  Google Scholar 

  27. Annamalai A, Tellambura C, Matyjas J. A new twist on the generalized Marcum Q-function QM (a, b) with fractional-order M and its applications. In2009 6th IEEE consumer communications and networking conference 2009 Jan 10 (pp. 1-5). IEEE.

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  1. Department of Electronics and Communication Engineering, National Institute of Technology, Tiruchirappalli, India

    R. Mahammad Rafi & V. Sudha

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  1. R. Mahammad Rafi
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Correspondence to R. Mahammad Rafi.

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Rafi, R.M., Sudha, V. SER and Outage Probability Analysis of Double RIS Assisted Wireless Communication System. Wireless Pers Commun 133, 2339–2354 (2023). https://doi.org/10.1007/s11277-024-10869-y

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