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Multi-RIS Communication Systems: Asymptotic analysis of best RIS selection for i.n.i.d. Random Variables using Extreme Value Theory (2312.15429v1)

Published 24 Dec 2023 in cs.IT, eess.SP, and math.IT

Abstract: This paper investigates the performance of multiple reconfigurable intelligent surfaces (multi-RIS) communication systems where the RIS link with the highest signal-to-noise-ratio (SNR) is selected at the destination. In practice, all the RISs will not have the same number of reflecting elements. Hence, selecting the RIS link with the highest SNR will involve characterizing the distribution of the maximum of independent, non-identically distributed (i.n.i.d.) SNR random variables (RVs). Using extreme value theory (EVT), we derive the asymptotic distribution of the normalized maximum of i.n.i.d. non-central chi-square (NCCS) distributed SNR RVs with one degree of freedom (d.o.f) and then extend the results for k-th order statistics. Using these asymptotic results, the outage capacity and average throughput expressions are derived for the multi-RIS system. The results for independent and identically distributed (i.i.d.) SNR RVs are then derived as a special case of i.n.i.d. RVs. All the derivations are validated through extensive Monte Carlo simulations, and their utility is discussed.

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References (51)
  1. Q. Wu and R. Zhang, “Intelligent reflecting surface enhanced wireless network via joint active and passive beamforming,” IEEE transactions on wireless communications, vol. 18, no. 11, pp. 5394–5409, 2019.
  2. Q. Wu and R. Zhang, “Beamforming optimization for wireless network aided by intelligent reflecting surface with discrete phase shifts,” IEEE Transactions on Communications, vol. 68, no. 3, pp. 1838–1851, 2019.
  3. S. Abeywickrama, R. Zhang, Q. Wu, and C. Yuen, “Intelligent reflecting surface: Practical phase shift model and beamforming optimization,” IEEE Transactions on Communications, vol. 68, no. 9, pp. 5849–5863, 2020.
  4. C. Pan, H. Ren, K. Wang, W. Xu, M. Elkashlan, A. Nallanathan, and L. Hanzo, “Multicell mimo communications relying on intelligent reflecting surfaces,” IEEE Transactions on Wireless Communications, vol. 19, no. 8, pp. 5218–5233, 2020.
  5. C. Pan, H. Ren, K. Wang, M. Elkashlan, A. Nallanathan, J. Wang, and L. Hanzo, “Intelligent reflecting surface aided MIMO broadcasting for simultaneous wireless information and power transfer,” IEEE Journal on Selected Areas in Communications, vol. 38, no. 8, pp. 1719–1734, 2020.
  6. S. Zhang and R. Zhang, “Capacity characterization for intelligent reflecting surface aided MIMO communication,” IEEE Journal on Selected Areas in Communications, vol. 38, no. 8, pp. 1823–1838, 2020.
  7. G. Zhou, C. Pan, H. Ren, K. Wang, M. Di Renzo, and A. Nallanathan, “Robust beamforming design for intelligent reflecting surface aided MISO communication systems,” IEEE Wireless Communications Letters, vol. 9, no. 10, pp. 1658–1662, 2020.
  8. B. Di, H. Zhang, L. Song, Y. Li, Z. Han, and H. V. Poor, “Hybrid beamforming for reconfigurable intelligent surface based multi-user communications: Achievable rates with limited discrete phase shifts,” IEEE Journal on Selected Areas in Communications, vol. 38, no. 8, pp. 1809–1822, 2020.
  9. Q. Wu and R. Zhang, “Joint active and passive beamforming optimization for intelligent reflecting surface assisted SWIPT under QoS constraints,” IEEE Journal on Selected Areas in Communications, vol. 38, no. 8, pp. 1735–1748, 2020.
  10. C. Huang, R. Mo, and C. Yuen, “Reconfigurable intelligent surface assisted multiuser MISO systems exploiting deep reinforcement learning,” IEEE Journal on Selected Areas in Communications, vol. 38, no. 8, pp. 1839–1850, 2020.
  11. S. Li, B. Duo, X. Yuan, Y.-C. Liang, and M. Di Renzo, “Reconfigurable intelligent surface assisted UAV communication: Joint trajectory design and passive beamforming,” IEEE Wireless Communications Letters, vol. 9, no. 5, pp. 716–720, 2020.
  12. B. Zheng, Q. Wu, and R. Zhang, “Intelligent reflecting surface-assisted multiple access with user pairing: NOMA or OMA?” IEEE Communications Letters, vol. 24, no. 4, pp. 753–757, 2020.
  13. S. Gopi, S. Kalyani, and L. Hanzo, “Intelligent reflecting surface assisted beam index-modulation for millimeter wave communication,” IEEE Transactions on Wireless Communications, vol. 20, no. 2, pp. 983–996, 2020.
  14. A. Taha, M. Alrabeiah, and A. Alkhateeb, “Enabling large intelligent surfaces with compressive sensing and deep learning,” IEEE access, vol. 9, pp. 44 304–44 321, 2021.
  15. H. Yang, Z. Xiong, J. Zhao, D. Niyato, L. Xiao, and Q. Wu, “Deep reinforcement learning-based intelligent reflecting surface for secure wireless communications,” IEEE Transactions on Wireless Communications, vol. 20, no. 1, pp. 375–388, 2020.
  16. M. Charishma, A. Subhash, S. Shekhar, and S. Kalyani, “Outage probability expressions for an IRS-assisted system with and without source-destination link for the case of quantized phase shifts in κ𝜅\kappaitalic_κ–μ𝜇\muitalic_μ fading,” IEEE Transactions on Communications, vol. 70, no. 1, pp. 101–117, 2021.
  17. A. Subhash, A. Kammoun, A. Elzanaty, S. Kalyani, Y. H. Al-Badarneh, and M.-S. Alouini, “Max-Min SINR optimization for RIS-aided uplink communications with green constraints,” IEEE Wireless Communications Letters, 2023.
  18. A. Subhash, A. Kammoun, A. Elzanaty, S. Kalyani, Y. H. Al-Badarneh, and M.-S. Alouini, “Optimal phase shift design for fair allocation in RIS aided uplink network using statistical CSI,” IEEE Journal on Selected Areas in Communications, 2023.
  19. S. Shekhar, A. Subhash, T. Kella, and S. Kalyani, “Instantaneous channel oblivious phase shift design for an IRS-assisted SIMO system with quantized phase shift,” arXiv preprint arXiv:2211.03317, 2022.
  20. E. Basar, M. Di Renzo, J. De Rosny, M. Debbah, M.-S. Alouini, and R. Zhang, “Wireless communications through reconfigurable intelligent surfaces,” IEEE access, vol. 7, pp. 116 753–116 773, 2019.
  21. L. Yang, Y. Yang, M. O. Hasna, and M.-S. Alouini, “Coverage, probability of SNR gain, and DOR analysis of RIS-aided communication systems,” IEEE Wireless Communications Letters, vol. 9, no. 8, pp. 1268–1272, 2020.
  22. T. N. Do, G. Kaddoum, T. L. Nguyen, D. B. Da Costa, and Z. J. Haas, “Multi-RIS-aided wireless systems: Statistical characterization and performance analysis,” IEEE Transactions on Communications, vol. 69, no. 12, pp. 8641–8658, 2021.
  23. V.-D. Phan, B. C. Nguyen, T. M. Hoang, T. N. Nguyen, P. T. Tran, B. V. Minh, and M. Voznak, “Performance of cooperative communication system with multiple reconfigurable intelligent surfaces over Nakagami-m fading channels,” IEEE Access, vol. 10, pp. 9806–9816, 2022.
  24. Z. Xie, W. Yi, X. Wu, Y. Liu, and A. Nallanathan, “Downlink multi-RIS aided transmission in backhaul limited networks,” IEEE Wireless Communications Letters, vol. 11, no. 7, pp. 1458–1462, 2022.
  25. P. T. Tran, B. C. Nguyen, T. M. Hoang, X. H. Le et al., “Exploiting multiple RISs and direct link for performance enhancement of wireless systems with hardware impairments,” IEEE Transactions on Communications, vol. 70, no. 8, pp. 5599–5611, 2022.
  26. P. T. Tran, B. C. Nguyen, T. M. Hoang, N. Van Vinh et al., “Combining multi-RIS and relay for performance improvement of multi-user NOMA systems,” Computer Networks, vol. 217, p. 109353, 2022.
  27. E. K. Agbogla, I. Trigui, K. Humadi, W. Ajib, and W.-P. Zhu, “Adaptive coordinated direct and multi-RIS transmissions for ultrareliable terahertz systems,” IEEE Transactions on Vehicular Technology, 2023.
  28. B. C. Nguyen, Q.-N. Van, L. T. Dung, T. M. Hoang, N. V. Vinh, and G. T. Luu, “Secrecy performance of multi-RIS-assisted wireless systems,” Mobile Networks and Applications, pp. 1–14, 2023.
  29. B. C. Nguyen, N. T. Xuan, H. T. Manh, H. L. T. Thanh, and P. T. Hiep, “Performance analysis for multi-RIS UAV NOMA mmwave communication systems,” Wireless Networks, vol. 29, no. 2, pp. 761–773, 2023.
  30. Y. Fang, S. Atapattu, H. Inaltekin, and J. Evans, “Optimum reconfigurable intelligent surface selection for wireless networks,” IEEE Transactions on Communications, vol. 70, no. 9, pp. 6241–6258, 2022.
  31. M. Aldababsa, A. M. Salhab, A. A. Nasir, M. H. Samuh, and D. B. da Costa, “Multiple RISs-aided networks: Performance analysis and optimization,” IEEE Transactions on Vehicular Technology, 2023.
  32. R. Hindustani, D. Dixit, S. Sharma, and V. Bhatia, “Outage probability of multiple-IRS-assisted SISO wireless communications over rician fading,” Physical Communication, vol. 59, p. 102102, 2023.
  33. D. T. Tam, N. Van Vinh, and B. C. Nguyen, “Improving the performance of multi-IRS aided millimeter-wave communication systems by transmit antenna selection,” Physical Communication, vol. 56, p. 101957, 2023.
  34. L. Yang, Y. Yang, D. B. da Costa, and I. Trigui, “Outage probability and capacity scaling law of multiple RIS-aided networks,” IEEE Wireless Communications Letters, vol. 10, no. 2, pp. 256–260, 2020.
  35. D. Park and S. Y. Park, “Performance analysis of multiuser diversity under transmit antenna correlation,” IEEE transactions on communications, vol. 56, no. 4, pp. 666–674, 2008.
  36. W. Seo, H. Song, J. Lee, and D. Hong, “A new asymptotic analysis of throughput enhancement from selection diversity using a high SNR approach in multiuser systems,” IEEE Transactions on Wireless Communications, vol. 8, no. 1, pp. 55–59, 2009.
  37. M. Xia and S. Aissa, “Spectrum-sharing multi-hop cooperative relaying: Performance analysis using extreme value theory,” IEEE transactions on wireless communications, vol. 13, no. 1, pp. 234–245, 2013.
  38. F. Haider, C.-X. Wang, H. Haas, E. Hepsaydir, X. Ge, and D. Yuan, “Spectral and energy efficiency analysis for cognitive radio networks,” IEEE Transactions on Wireless Communications, vol. 14, no. 6, pp. 2969–2980, 2015.
  39. C.-F. Liu, M. Bennis, M. Debbah, and H. V. Poor, “Dynamic task offloading and resource allocation for ultra-reliable low-latency edge computing,” IEEE Transactions on Communications, vol. 67, no. 6, pp. 4132–4150, 2019.
  40. S. Samarakoon, M. Bennis, W. Saad, and M. Debbah, “Distributed federated learning for ultra-reliable low-latency vehicular communications,” IEEE Transactions on Communications, vol. 68, no. 2, pp. 1146–1159, 2019.
  41. A. Subhash, M. Srinivasan, S. Kalyani, and L. Hanzo, “Transmit power policy and ergodic multicast rate analysis of cognitive radio networks in generalized fading,” IEEE Transactions on Communications, vol. 68, no. 6, pp. 3311–3325, 2020.
  42. S. Kalyani and R. Karthik, “The asymptotic distribution of maxima of independent and identically distributed sums of correlated or non-identical gamma random variables and its applications,” IEEE transactions on communications, vol. 60, no. 9, pp. 2747–2758, 2012.
  43. A. Subhash, M. Srinivasan, and S. Kalyani, “Asymptotic maximum order statistic for SIR in κ−μ𝜅𝜇\kappa-\muitalic_κ - italic_μ shadowed fading,” IEEE Transactions on Communications, vol. 67, no. 9, pp. 6512–6526, 2019.
  44. D. Mejzler and I. Weissman, “On some results of NV smirnov concerning limit distributions for variational series,” The Annals of Mathematical Statistics, vol. 40, no. 2, pp. 480–491, 1969.
  45. H. Barakat, E. Nigm, and M. Al-Awady, “Limit theorems for random maximum of independent and non-identically distributed random vectors,” Statistics, vol. 47, no. 3, pp. 546–557, 2013.
  46. A. Subhash and S. Kalyani, “Cooperative relaying in a SWIPT network: Asymptotic analysis using extreme value theory for non-identically distributed RVs,” IEEE Transactions on Communications, vol. 69, no. 7, pp. 4360–4372, 2021.
  47. A. Subhash, S. Kalyani, Y. H. Al-Badarneh, and M.-S. Alouini, “On the asymptotic performance analysis of the k-th best link selection over non-identical non-central chi-square fading channels,” IEEE Transactions on Communications, vol. 70, no. 11, pp. 7191–7206, 2022.
  48. I. Yildirim, A. Uyrus, and E. Basar, “Modeling and analysis of reconfigurable intelligent surfaces for indoor and outdoor applications in future wireless networks,” IEEE transactions on communications, vol. 69, no. 2, pp. 1290–1301, 2020.
  49. D. L. Galappaththige, D. Kudathanthirige, and G. A. A. Baduge, “Performance analysis of distributed intelligent reflective surfaces for wireless communications,” arXiv preprint arXiv:2010.12543, 2020.
  50. H. A. David and H. N. Nagaraja, “Order Statistics,” Encyclopedia of Statistical Sciences, 2003.
  51. H. Barakat, “Limit theorems for bivariate extremes of non-identically distributed random variables,” Applicationes Mathematicae, vol. 4, no. 29, pp. 371–386, 2002.

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