NOMA-enabled Cooperative V2V Communications with Fixed-Gain AF Relaying
Year 2023,
Volume: 11 Issue: 1, 1 - 12, 30.01.2023
Semiha Koşu
,
Serdar Özgür Ata
Abstract
By virtue of its improving bandwidth efficiency along with user fairness, non-orthogonal multiple access (NOMA) technique is considered a promising method for next-generation wireless communication systems. Since fading effect of wireless channels in vehicle-to-vehicle (V2V) communication systems are more severe than those in traditional systems, in this study, we employ the power-domain downlink NOMA technique in cooperative V2V communication systems to enhance data transmission capacity and network efficiency. In the proposed system, the base station communicates with two vehicular nodes, namely near and far users, through a relay vehicle employing the fixed-gain amplify-and-forward scheme. In real-life scenarios, the relay and the users move in high velocities; hence, the corresponding fading channels between these nodes are exposed as having double-Rayleigh fading characteristic in which the fading coefficient of a wireless channel is modeled as the product of two Rayleigh distributed random variables. To analyze the system performance, we first investigate the outage probability and derive its exact closed-form expressions for the near and far users. Then, we make the exact ergodic capacity analysis and obtain the closed-form solution for the near user. Furthermore, outage and ergodic performances of the NOMA-enabled system are compared to the simulation results of the traditional orthogonal multiple access approach. We also give analytic and numerical results to evaluate the performance of the proposed system and show the consistency of Monte-Carlo simulations with analytical derivations. It is observed that even with the small power allocation, both performances of the near user mostly outperform the far user.
Supporting Institution
Istanbul Technical University Vodafone Future Lab, Research Fund of the Istanbul Technical University
Project Number
ITUVF20190901P02, MYL-2019-42491
Thanks
This work was supported in part by the Istanbul Technical University Vodafone Future Lab under Project ITUVF20190901P02. The work of Semiha Koşu was supported by the Research Fund of the Istanbul Technical University under Project MYL-2019-42491.
References
- [1] M. Simon and M. Alouini, Digital Communication over Fading Channels. Wiley, 2005.
- [2] Y. Saito, Y. Kishiyama, A. Benjebbour, T. Nakamura, A. Li, and K. Higuchi, “Non-orthogonal Multiple Access (NOMA) for Cellular Future Radio Access,” in Proc. IEEE Veh. Tech. Conf., 2013, pp. 1–5.
- [3] S. A. A. Shah, E. Ahmed, M. Imran, and S. Zeadally, “5G for Vehicular Communications,” IEEE Commun. Magazine, vol. 56, no. 1, pp. 111–117, 2018.
- [4] Y. Yang and K. Hua, “Emerging Technologies for 5G-Enabled Vehicular Networks,” IEEE Access, vol. 7, pp. 181–117, 2019.
- [5] G. Luo, Q. Yuan, H. Zhou, N. Cheng, Z. Liu, F. Yang, and X. S. Shen, “Cooperative Vehicular Content Distribution in Edge Computing Assisted 5G-VANET,” China Commun., vol. 15, no. 7, pp. 1–17, 2018.
- [6] J. Lee and B. Park, “Development and Evaluation of a Cooperative Vehicle Intersection Control Algorithm Under the Connected Vehicles Environment,” IEEE Trans. on Intelligent Transportation Systems, vol. 13, no. 1, pp. 81–90, 2012.
- [7] S. K. Gehrig and F. J. Stein, “Collision Avoidance for Vehicle-Following Systems,” IEEE Trans. on Intelligent Transportation Systems, vol. 8, no. 2, pp. 233–244, 2007.
- [8] S. Darbha, S. Konduri, and P. R. Pagilla, “Benefits of V2V Communication for Autonomous and Connected Vehicles,” IEEE Trans. on Intelligent Transportation Systems, vol. 20, no. 5, pp. 1954–1963, 2019.
- [9] Y. Ibdah and Y. Ding, “Statistical properties for Cascaded Rayleigh Fading Channel Models,” in Proc. 9th Int. Conf. on Inf., Commun. Signal Process., 2013, pp. 1–5.
- [10] V. Erceg, S. J. Fortune, J. Ling, A. J. Rustako, and R. A. Valenzuela, “Comparisons of a Computer-based Propagation Prediction Tool with Experimental Data Collected in Urban Microcellular Environments,” IEEE Journal on Selected Areas in Commun., vol. 15, no. 4, pp. 677– 684, 1997.
- [11] D.W. Matolak and J. Frolik, “Worse-than-Rayleigh fading: Experimental Results and Theoretical Models,” IEEE Commun. Magazine, vol. 49, no. 4, pp. 140–146, 2011.
- [12] V. Erceg, S. Fortune, J. Ling, A. Rustako, and R. Valenzuela, “Comparisons of a computer-based propagation prediction tool with experimental data collected in urban microcellular environments,” IEEE Journal on Selected Areas in Communications, vol. 15, no. 4, pp. 677–684, 1997.
- [13] M. Seyfi, S. Muhaidat, J. Liang, and M. Uysal, “Relay Selection in Dual-Hop Vehicular Networks,” IEEE Signal Process. Lett., vol. 18, no. 2, pp. 134–137, Feb. 2011.
- [14] D. Qin, Y. Wang, and T. Zhou, “Performance Analysis of Bidirectional AF Based Cooperative Vehicular Networks,” IEEE Trans. on Veh. Tech., vol. 69, no. 2, pp. 2274–2279, Feb. 2020.
- [15] Y. Alghorani, G. Kaddoum, S. Muhaidat, and S. Pierre, “On the Approximate Analysis of Energy Detection Over n∗Rayleigh Fading Channels Through Cooperative Spectrum Sensing,” IEEE Wireless Commun. Lett., vol. 4, no. 4, pp. 413–416, Aug. 2015.
- [16] A. Al Hammadi, O. Alhussein, P. C. Sofotasios, S. Muhaidat, M. Al-Qutayri, S. Al-Araji, G. K. Karagiannidis, and J. Liang, “Unified Analysis of Cooperative Spectrum Sensing Over Composite and Generalized Fading Channels,” IEEE Trans. on Veh. Tech., vol. 65, no. 9, pp. 6949– 6961, Sep. 2016.
- [17] P. S. Bithas, G. P. Efthymoglou, and A. G. Kanatas, “V2V Cooperative Relaying Communications Under Interference and Outdated CSI,” IEEE Trans. on Veh. Tech., vol. 67, no. 4, pp. 3466–3480, April 2018.
- [18] S. Wang, D. Wang, C. Li, and W. Xu, “Full Duplex AF and DF Relaying Under Channel Estimation Errors for V2V Communications,” IEEE Access, vol. 6, pp. 65 321–65 332, 2018.
- [19] O. Abbasi, A. Ebrahimi, and N. Mokari, “NOMA Inspired Cooperative Relaying System Using an AF Relay,” IEEE Wireless Commun. Lett., vol. 8, no. 1, pp. 261–264, Feb. 2019.
- [20] M. Tian, S. Zhao, Q. Li, and J. Qin, “Secrecy Sum Rate Optimization in Nonorthogonal Multiple Access AF Relay Networks,” IEEE Systems Journal, vol. 13, no. 3, pp. 2712–2715, Sep. 2019.
- [21] Y. Li, Y. Li, Y. Chen, Y. Ye, and H. Zhang, “Performance Analysis of Cooperative NOMA with a Shared AF Relay,” IET Commun., vol. 12, no. 19, pp. 2438–2447, 2018.
- [22] Z. Wang, X. Yue, and Z. Peng, “Full-Duplex User Relaying for NOMA System With Self-Energy Recycling,” IEEE Access, vol. 6, pp. 67 057– 67 069, 2018.
- [23] D. Tran, D. Ha, V. N. Vo, C. So-In, H. Tran, T. G. Nguyen, Z. A. Baig, and S. Sanguanpong, “Performance Analysis of DF/AF Cooperative MISO Wireless Sensor Networks With NOMA and SWIPT Over Nakagami-m Fading,” IEEE Access, vol. 6, pp. 56 142–56 161, 2018.
- [24] Q. Y. Liau, C. Y. Leow, and Z. Ding, “Amplify-and-Forward Virtual Full-Duplex Relaying-Based Cooperative NOMA,” IEEE Wireless Commun. Lett., vol. 7, no. 3, pp. 464–467, June 2018.
- [25] D. Wan, M. Wen, F. Ji, Y. Liu, and Y. Huang, “Cooperative NOMA Systems With Partial Channel State Information Over Nakagami- m Fading Channels,” IEEE Trans. on Commun., vol. 66, no. 3, pp. 947– 958, March 2018.
- [26] Z. Yang, Z. Ding, Y. Wu, and P. Fan, “Novel Relay Selection Strategies for Cooperative NOMA,” IEEE Trans. on Veh. Tech., vol. 66, no. 11, pp. 10 114–10 123, Nov. 2017.
- [27] X. Liang, Y. Wu, D. W. K. Ng, Y. Zuo, S. Jin, and H. Zhu, “Outage Performance for Cooperative NOMA Transmission with an AF Relay,” IEEE Commun. Lett., vol. 21, no. 11, pp. 2428–2431, Nov. 2017.
- [28] X. Yue, Y. Liu, S. Kang, and A. Nallanathan, “Performance Analysis of NOMA With Fixed Gain Relaying Over Nakagami- m Fading Channels,” IEEE Access, vol. 5, pp. 5445–5454, 2017.
- [29] Y. Liu, G. Pan, H. Zhang, and M. Song, “Hybrid Decode-Forward Amplify-Forward Relaying With Non-Orthogonal Multiple Access,” IEEE Access, vol. 4, pp. 4912–4921, 2016.
- [30] R. Jiao, L. Dai, J. Zhang, R. MacKenzie, and M. Hao, “On the Performance of NOMA-Based Cooperative Relaying Systems Over Rician Fading Channels,” IEEE Trans. on Veh. Tech., vol. 66, no. 12, pp. 11 409–11 413, Dec. 2017.
- [31] B. E. Y. Belmekki, A. Hamza, and B. Escrig, “On the Outage Probability of Cooperative 5G NOMA at Intersections,” in Proc. IEEE 89th Veh. Tech. Conf. (VTC2019-Spring), April 2019, pp. 1–6.
- [32] W. Xie, J. Liao, C. Yu, P. Zhu, and X. Liu, “Physical Layer Security Performance Analysis of the FD-Based NOMA-VC System,” IEEE Access, vol. 7, pp. 115 568–115 573, 2019.
- [33] B. E. Y. Belmekki, A. Hamza, and B. Escrig, “Outage Analysis of Cooperative NOMA Using Maximum Ratio Combining at Intersections,” in Proc. Int. Conf. on Wireless and Mobile Computing, Net. and Commun. (WiMob), Oct. 2019, pp. 1–6.
- [34] T. Kim, Y. Park, H. Kim, and D. Hong, “Cooperative Superposed Transmission in Cellular-Based V2V Systems,” IEEE Trans. on Veh. Tech., vol. 68, no. 12, pp. 11 888–11 901, Dec. 2019.
- [35] L. Wei, Y. Chen, D. Zheng, and B. Jiao, “Secure Performance Analysis and Optimization for FD-NOMA Vehicular Communications,” China Commun., vol. 17, no. 11, pp. 29–41, Nov. 2020.
- [36] G. Liu, Z. Wang, J. Hu, Z. Ding, and P. Fan, “Cooperative noma broadcasting/multicasting for low-latency and high-reliability 5g cellular v2x communications,” IEEE Internet of Things Journal, vol. 6, no. 5, pp. 7828–7838, 2019.
- [37] Y. Chen, L. Wang, Y. Ai, B. Jiao, and L. Hanzo, “Performance analysis of noma-sm in vehicle-to-vehicle massive mimo channels,” IEEE Journal on Selected Areas in Communications, vol. 35, no. 12, pp. 2653–2666, 2017.
- [38] N. Jaiswal and N. Purohit, “Performance Evaluation of Non-orthogonal Multiple Access in V2V communications Over Double-Rayleigh Fading Channels,” in Proc. IEEE Conf. on Inf. and Commun. Tech., Dec. 2019, pp. 1–5.
- [39] S. Gurugopinath, P. C. Sofotasios, Y. Al-Hammadi, and S. Muhaidat, “Cache-Aided Non-Orthogonal Multiple Access for 5G-Enabled Vehicular Networks,” IEEE Trans. on Veh. Tech., vol. 68, no. 9, pp. 8359–8371, Sep. 2019.
- [40] H. Xiao, Y. Chen, S. Ouyang, and A. T. Chronopoulos, “Power Control for Clustering Car-Following V2X Communication System With Non- Orthogonal Multiple Access,” IEEE Access, vol. 7, pp. 68 160–68 171, 2019.
- [41] A. Pandey and S. Yadav, “Joint impact of nodes mobility and imperfect channel estimates on the secrecy performance of cognitive radio vehicular networks over nakagami-m fading channels,” IEEE Open Journal of Vehicular Technology, vol. 2, pp. 289–309, 2021.
- [42] Y. Cui, G. Nie, and H. Tian, “Hop progress analysis of two-layer vanets with variant transmission range,” IEEE Wireless Communications Letters, vol. 8, no. 5, pp. 1473–1476, 2019.
- [43] K. Koufos and C. P. Dettmann, “Outage in motorway multi-lane vanets with hardcore headway distance using synthetic traces,” IEEE Transactions on Mobile Computing, vol. 20, pp. 2445–2456, 2021.
- [44] J. Men and J. Ge, “Performance Analysis of Non-orthogonal Multiple Access in Downlink Cooperative Network,” IET Commun., vol. 9, no. 18, pp. 2267–2273, 2015.
- [45] I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products. 7th edition, MA, USA: Elsevier, 2007.
- [46] H. A. David and H. N. Nagaraja, Order Statistics. NJ, USA: John Wiley & Sons, Inc., 2003.
- [47] V. S. Adamchik and O. I. Marichev, “The Algorithm for Calculating Integrals of Hypergeometric Type Functions and Its Realization in REDUCE System,” in Proc. Int. Symp. on Symbolic and Algebraic Comput., ser. ISSAC ’90, 1990, pp. 212–224.
- [48] Wolfram Inc., “The mathematical functions site,” http://functions.wolfram.com, 2018, [Online].
- [49] J. Men, J. Ge, and C. Zhang, “Performance Analysis of Nonorthogonal Multiple Access for Relaying Networks over Nakagami-m Fading Channels,” IEEE Trans. on Veh. Tech., vol. 66, no. 2, pp. 1200–1208, 2017.
- [50] S. C. Gupta, “Integrals Involving Products of G-function,” in Proc. Indian Academy of Sciences - Section A, 1969, p. 193–200.
- [51] H. Chergui, M. Benjillali, and S. Saoudi, “Performance Analysis of Project-and-Forward Relaying in Mixed MIMO-Pinhole and Rayleigh Dual-Hop Channel,” IEEE Commun. Lett., vol. 20, no. 3, pp. 610–613, March 2016.
- [52] Q. Zhang, K. Luo, W. Wang, and T. Jiang, “Joint c-oma and c-noma wireless backhaul scheduling in heterogeneous ultra dense networks,” IEEE Transactions on Wireless Communications, vol. 19, no. 2, pp. 874–887, Feb 2020.
Year 2023,
Volume: 11 Issue: 1, 1 - 12, 30.01.2023
Semiha Koşu
,
Serdar Özgür Ata
Project Number
ITUVF20190901P02, MYL-2019-42491
References
- [1] M. Simon and M. Alouini, Digital Communication over Fading Channels. Wiley, 2005.
- [2] Y. Saito, Y. Kishiyama, A. Benjebbour, T. Nakamura, A. Li, and K. Higuchi, “Non-orthogonal Multiple Access (NOMA) for Cellular Future Radio Access,” in Proc. IEEE Veh. Tech. Conf., 2013, pp. 1–5.
- [3] S. A. A. Shah, E. Ahmed, M. Imran, and S. Zeadally, “5G for Vehicular Communications,” IEEE Commun. Magazine, vol. 56, no. 1, pp. 111–117, 2018.
- [4] Y. Yang and K. Hua, “Emerging Technologies for 5G-Enabled Vehicular Networks,” IEEE Access, vol. 7, pp. 181–117, 2019.
- [5] G. Luo, Q. Yuan, H. Zhou, N. Cheng, Z. Liu, F. Yang, and X. S. Shen, “Cooperative Vehicular Content Distribution in Edge Computing Assisted 5G-VANET,” China Commun., vol. 15, no. 7, pp. 1–17, 2018.
- [6] J. Lee and B. Park, “Development and Evaluation of a Cooperative Vehicle Intersection Control Algorithm Under the Connected Vehicles Environment,” IEEE Trans. on Intelligent Transportation Systems, vol. 13, no. 1, pp. 81–90, 2012.
- [7] S. K. Gehrig and F. J. Stein, “Collision Avoidance for Vehicle-Following Systems,” IEEE Trans. on Intelligent Transportation Systems, vol. 8, no. 2, pp. 233–244, 2007.
- [8] S. Darbha, S. Konduri, and P. R. Pagilla, “Benefits of V2V Communication for Autonomous and Connected Vehicles,” IEEE Trans. on Intelligent Transportation Systems, vol. 20, no. 5, pp. 1954–1963, 2019.
- [9] Y. Ibdah and Y. Ding, “Statistical properties for Cascaded Rayleigh Fading Channel Models,” in Proc. 9th Int. Conf. on Inf., Commun. Signal Process., 2013, pp. 1–5.
- [10] V. Erceg, S. J. Fortune, J. Ling, A. J. Rustako, and R. A. Valenzuela, “Comparisons of a Computer-based Propagation Prediction Tool with Experimental Data Collected in Urban Microcellular Environments,” IEEE Journal on Selected Areas in Commun., vol. 15, no. 4, pp. 677– 684, 1997.
- [11] D.W. Matolak and J. Frolik, “Worse-than-Rayleigh fading: Experimental Results and Theoretical Models,” IEEE Commun. Magazine, vol. 49, no. 4, pp. 140–146, 2011.
- [12] V. Erceg, S. Fortune, J. Ling, A. Rustako, and R. Valenzuela, “Comparisons of a computer-based propagation prediction tool with experimental data collected in urban microcellular environments,” IEEE Journal on Selected Areas in Communications, vol. 15, no. 4, pp. 677–684, 1997.
- [13] M. Seyfi, S. Muhaidat, J. Liang, and M. Uysal, “Relay Selection in Dual-Hop Vehicular Networks,” IEEE Signal Process. Lett., vol. 18, no. 2, pp. 134–137, Feb. 2011.
- [14] D. Qin, Y. Wang, and T. Zhou, “Performance Analysis of Bidirectional AF Based Cooperative Vehicular Networks,” IEEE Trans. on Veh. Tech., vol. 69, no. 2, pp. 2274–2279, Feb. 2020.
- [15] Y. Alghorani, G. Kaddoum, S. Muhaidat, and S. Pierre, “On the Approximate Analysis of Energy Detection Over n∗Rayleigh Fading Channels Through Cooperative Spectrum Sensing,” IEEE Wireless Commun. Lett., vol. 4, no. 4, pp. 413–416, Aug. 2015.
- [16] A. Al Hammadi, O. Alhussein, P. C. Sofotasios, S. Muhaidat, M. Al-Qutayri, S. Al-Araji, G. K. Karagiannidis, and J. Liang, “Unified Analysis of Cooperative Spectrum Sensing Over Composite and Generalized Fading Channels,” IEEE Trans. on Veh. Tech., vol. 65, no. 9, pp. 6949– 6961, Sep. 2016.
- [17] P. S. Bithas, G. P. Efthymoglou, and A. G. Kanatas, “V2V Cooperative Relaying Communications Under Interference and Outdated CSI,” IEEE Trans. on Veh. Tech., vol. 67, no. 4, pp. 3466–3480, April 2018.
- [18] S. Wang, D. Wang, C. Li, and W. Xu, “Full Duplex AF and DF Relaying Under Channel Estimation Errors for V2V Communications,” IEEE Access, vol. 6, pp. 65 321–65 332, 2018.
- [19] O. Abbasi, A. Ebrahimi, and N. Mokari, “NOMA Inspired Cooperative Relaying System Using an AF Relay,” IEEE Wireless Commun. Lett., vol. 8, no. 1, pp. 261–264, Feb. 2019.
- [20] M. Tian, S. Zhao, Q. Li, and J. Qin, “Secrecy Sum Rate Optimization in Nonorthogonal Multiple Access AF Relay Networks,” IEEE Systems Journal, vol. 13, no. 3, pp. 2712–2715, Sep. 2019.
- [21] Y. Li, Y. Li, Y. Chen, Y. Ye, and H. Zhang, “Performance Analysis of Cooperative NOMA with a Shared AF Relay,” IET Commun., vol. 12, no. 19, pp. 2438–2447, 2018.
- [22] Z. Wang, X. Yue, and Z. Peng, “Full-Duplex User Relaying for NOMA System With Self-Energy Recycling,” IEEE Access, vol. 6, pp. 67 057– 67 069, 2018.
- [23] D. Tran, D. Ha, V. N. Vo, C. So-In, H. Tran, T. G. Nguyen, Z. A. Baig, and S. Sanguanpong, “Performance Analysis of DF/AF Cooperative MISO Wireless Sensor Networks With NOMA and SWIPT Over Nakagami-m Fading,” IEEE Access, vol. 6, pp. 56 142–56 161, 2018.
- [24] Q. Y. Liau, C. Y. Leow, and Z. Ding, “Amplify-and-Forward Virtual Full-Duplex Relaying-Based Cooperative NOMA,” IEEE Wireless Commun. Lett., vol. 7, no. 3, pp. 464–467, June 2018.
- [25] D. Wan, M. Wen, F. Ji, Y. Liu, and Y. Huang, “Cooperative NOMA Systems With Partial Channel State Information Over Nakagami- m Fading Channels,” IEEE Trans. on Commun., vol. 66, no. 3, pp. 947– 958, March 2018.
- [26] Z. Yang, Z. Ding, Y. Wu, and P. Fan, “Novel Relay Selection Strategies for Cooperative NOMA,” IEEE Trans. on Veh. Tech., vol. 66, no. 11, pp. 10 114–10 123, Nov. 2017.
- [27] X. Liang, Y. Wu, D. W. K. Ng, Y. Zuo, S. Jin, and H. Zhu, “Outage Performance for Cooperative NOMA Transmission with an AF Relay,” IEEE Commun. Lett., vol. 21, no. 11, pp. 2428–2431, Nov. 2017.
- [28] X. Yue, Y. Liu, S. Kang, and A. Nallanathan, “Performance Analysis of NOMA With Fixed Gain Relaying Over Nakagami- m Fading Channels,” IEEE Access, vol. 5, pp. 5445–5454, 2017.
- [29] Y. Liu, G. Pan, H. Zhang, and M. Song, “Hybrid Decode-Forward Amplify-Forward Relaying With Non-Orthogonal Multiple Access,” IEEE Access, vol. 4, pp. 4912–4921, 2016.
- [30] R. Jiao, L. Dai, J. Zhang, R. MacKenzie, and M. Hao, “On the Performance of NOMA-Based Cooperative Relaying Systems Over Rician Fading Channels,” IEEE Trans. on Veh. Tech., vol. 66, no. 12, pp. 11 409–11 413, Dec. 2017.
- [31] B. E. Y. Belmekki, A. Hamza, and B. Escrig, “On the Outage Probability of Cooperative 5G NOMA at Intersections,” in Proc. IEEE 89th Veh. Tech. Conf. (VTC2019-Spring), April 2019, pp. 1–6.
- [32] W. Xie, J. Liao, C. Yu, P. Zhu, and X. Liu, “Physical Layer Security Performance Analysis of the FD-Based NOMA-VC System,” IEEE Access, vol. 7, pp. 115 568–115 573, 2019.
- [33] B. E. Y. Belmekki, A. Hamza, and B. Escrig, “Outage Analysis of Cooperative NOMA Using Maximum Ratio Combining at Intersections,” in Proc. Int. Conf. on Wireless and Mobile Computing, Net. and Commun. (WiMob), Oct. 2019, pp. 1–6.
- [34] T. Kim, Y. Park, H. Kim, and D. Hong, “Cooperative Superposed Transmission in Cellular-Based V2V Systems,” IEEE Trans. on Veh. Tech., vol. 68, no. 12, pp. 11 888–11 901, Dec. 2019.
- [35] L. Wei, Y. Chen, D. Zheng, and B. Jiao, “Secure Performance Analysis and Optimization for FD-NOMA Vehicular Communications,” China Commun., vol. 17, no. 11, pp. 29–41, Nov. 2020.
- [36] G. Liu, Z. Wang, J. Hu, Z. Ding, and P. Fan, “Cooperative noma broadcasting/multicasting for low-latency and high-reliability 5g cellular v2x communications,” IEEE Internet of Things Journal, vol. 6, no. 5, pp. 7828–7838, 2019.
- [37] Y. Chen, L. Wang, Y. Ai, B. Jiao, and L. Hanzo, “Performance analysis of noma-sm in vehicle-to-vehicle massive mimo channels,” IEEE Journal on Selected Areas in Communications, vol. 35, no. 12, pp. 2653–2666, 2017.
- [38] N. Jaiswal and N. Purohit, “Performance Evaluation of Non-orthogonal Multiple Access in V2V communications Over Double-Rayleigh Fading Channels,” in Proc. IEEE Conf. on Inf. and Commun. Tech., Dec. 2019, pp. 1–5.
- [39] S. Gurugopinath, P. C. Sofotasios, Y. Al-Hammadi, and S. Muhaidat, “Cache-Aided Non-Orthogonal Multiple Access for 5G-Enabled Vehicular Networks,” IEEE Trans. on Veh. Tech., vol. 68, no. 9, pp. 8359–8371, Sep. 2019.
- [40] H. Xiao, Y. Chen, S. Ouyang, and A. T. Chronopoulos, “Power Control for Clustering Car-Following V2X Communication System With Non- Orthogonal Multiple Access,” IEEE Access, vol. 7, pp. 68 160–68 171, 2019.
- [41] A. Pandey and S. Yadav, “Joint impact of nodes mobility and imperfect channel estimates on the secrecy performance of cognitive radio vehicular networks over nakagami-m fading channels,” IEEE Open Journal of Vehicular Technology, vol. 2, pp. 289–309, 2021.
- [42] Y. Cui, G. Nie, and H. Tian, “Hop progress analysis of two-layer vanets with variant transmission range,” IEEE Wireless Communications Letters, vol. 8, no. 5, pp. 1473–1476, 2019.
- [43] K. Koufos and C. P. Dettmann, “Outage in motorway multi-lane vanets with hardcore headway distance using synthetic traces,” IEEE Transactions on Mobile Computing, vol. 20, pp. 2445–2456, 2021.
- [44] J. Men and J. Ge, “Performance Analysis of Non-orthogonal Multiple Access in Downlink Cooperative Network,” IET Commun., vol. 9, no. 18, pp. 2267–2273, 2015.
- [45] I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products. 7th edition, MA, USA: Elsevier, 2007.
- [46] H. A. David and H. N. Nagaraja, Order Statistics. NJ, USA: John Wiley & Sons, Inc., 2003.
- [47] V. S. Adamchik and O. I. Marichev, “The Algorithm for Calculating Integrals of Hypergeometric Type Functions and Its Realization in REDUCE System,” in Proc. Int. Symp. on Symbolic and Algebraic Comput., ser. ISSAC ’90, 1990, pp. 212–224.
- [48] Wolfram Inc., “The mathematical functions site,” http://functions.wolfram.com, 2018, [Online].
- [49] J. Men, J. Ge, and C. Zhang, “Performance Analysis of Nonorthogonal Multiple Access for Relaying Networks over Nakagami-m Fading Channels,” IEEE Trans. on Veh. Tech., vol. 66, no. 2, pp. 1200–1208, 2017.
- [50] S. C. Gupta, “Integrals Involving Products of G-function,” in Proc. Indian Academy of Sciences - Section A, 1969, p. 193–200.
- [51] H. Chergui, M. Benjillali, and S. Saoudi, “Performance Analysis of Project-and-Forward Relaying in Mixed MIMO-Pinhole and Rayleigh Dual-Hop Channel,” IEEE Commun. Lett., vol. 20, no. 3, pp. 610–613, March 2016.
- [52] Q. Zhang, K. Luo, W. Wang, and T. Jiang, “Joint c-oma and c-noma wireless backhaul scheduling in heterogeneous ultra dense networks,” IEEE Transactions on Wireless Communications, vol. 19, no. 2, pp. 874–887, Feb 2020.