Ergodic Capacity Analysis of Full Duplex Relaying in the Presence of Co-Channel Interference in V2V Communications
Abstract
:1. Introduction
- We derive a closed form expression of the exact ergodic capacity of the equivalent end-to-end signal-to-interference-plus-noise ratio (SINR) of FD AF relaying over Nakagami-m fading channels under the effects of SI at the relay and of CCI at the destination.
- We also derive a closed form lower bound of the corresponding ergodic capacity. It should be noted that both the exact and the lower bound ergodic capacity expressions are derived based on the derivation of the SINR moment generating function (MGF) of the proposed system.
- We further derive a closed form expression for the ergodic capacity upper bound based on the asymptotic outage probability of the aforementioned system.
2. Related Work
3. System Model
4. Performance Analysis
4.1. Exact Ergodic Capacity
4.2. Ergodic Capacity Lower Bound
4.3. Ergodic Capacity Upper Bound
5. Simulation Results
6. Conclusions
Author Contributions
Funding
Conflicts of Interest
Appendix A
Appendix B
Appendix C
References
- Kim, D.; Lee, H.; Hong, D. A survey of in-band full-duplex transmission: From the perspective of PHY and MAC layers. IEEE Commun. Surv. Tuts. 2015, 17, 2017–2046. [Google Scholar] [CrossRef]
- Duarte, M.; Sabharwal, A. Full-duplex wireless communications using off-the-shelf radios: Feasibility and first results. In Proceedings of the Asilomar Conference on Signals, Systems, Pacific Grove, CA, USA, 7–10 November 2010; pp. 1558–1562. [Google Scholar]
- Jain, M.; Choi, J.I.; Kim, T.; Bharadia, D.; Seth, S.; Srinivasan, K.; Levis, P.; Katti, S.; Sinha, P. Practical, real-time, full duplex wireless. In Proceedings of the International Conference on Mobile Computing and Networking, Las Vegas, NV, USA, 19–23 September 2011; pp. 301–312. [Google Scholar]
- Trigui, I.; Affes, S.; Stéphenne, A. Ergodic capacity analysis for interference-limited AF multi-hop relaying channels in Nakagami-m fading. IEEE Trans. Commun. 2013, 61, 2726–2734. [Google Scholar] [CrossRef]
- Trigui, I.; Affes, S.; Stephenne, A. On the ergodic capacity of amplify-and-forward relay channels with interference in Nakagami-m fading. IEEE Trans. Commun. 2013, 61, 3136–3145. [Google Scholar] [CrossRef]
- Ikki, S.S.; Aissa, S. Multihop wireless relaying systems in the presence of cochannel interferences: Performance analysis and design optimization. IEEE Trans. Veh. Technol. 2012, 61, 566–573. [Google Scholar] [CrossRef]
- Zhu, G.; Zhong, C.; Suraweera, H.A.; Zhang, Z.; Yuen, C.; Yin, R. Ergodic capacity comparison of different relay precoding schemes in dual-hop AF systems with co-channel interference. IEEE Trans. Commun. 2014, 62, 2314–2328. [Google Scholar]
- Lee, K.C.; Li, C.P.; Wang, T.Y.; Li, H.J. Performance analysis of dual-hop amplify-and-forward systems with multiple antennas and co-channel interference. IEEE Trans. Wirel. Commun. 2014, 13, 3070–3087. [Google Scholar] [CrossRef]
- Almradi, A.; Xiao, P.; Hamdi, K.A. Hop-by-Hop ZF beamforming for MIMO full-duplex relaying with co-channel interference. IEEE Trans. Commun. 2018, 66, 6135–6149. [Google Scholar] [CrossRef]
- Almradi, A.; Hamdi, K.A. MIMO full-duplex relaying in the presence of co-channel interference. IEEE Trans. Veh. Techno. 2017, 66, 4874–4885. [Google Scholar] [CrossRef] [Green Version]
- Kader, M.F.; Shin, S.Y.; Leung, V.C. Full-duplex non-orthogonal multiple access in cooperative relay sharing for 5G systems. IEEE Trans. Veh. Technol. 2018, 67, 5831–5840. [Google Scholar] [CrossRef]
- Almradi, A.; Hamdi, K.A. On the outage probability of MIMO full-duplex relaying: Impact of antenna correlation and imperfect CSI. IEEE Trans. Veh. Technol. 2017, 66, 3957–3965. [Google Scholar] [CrossRef]
- Feng, J.; Ma, S.; Yang, G.; Poor, H.V. Impact of antenna correlation on full-duplex two-way massive MIMO relaying systems. IEEE Trans. Wirel. Commun. 2018, 17, 3572–3587. [Google Scholar] [CrossRef]
- Shojaeifard, A.; Wong, K.K.; Di Renzo, M.; Zheng, G.; Hamdi, K.A.; Tang, J. Massive MIMO-enabled full-duplex cellular networks. IEEE Trans. Commun. 2017, 65, 4734–4750. [Google Scholar] [CrossRef]
- Zhong, C.; Zhang, Z. Non-orthogonal multiple access with cooperative full-duplex relaying. IEEE Commun. Lett. 2016, 20, 2478–2481. [Google Scholar] [CrossRef]
- Uddin, M.B.; Kader, M.F.; Shin, S.Y. On the capacity of full-duplex diamond relay networks using NOMA. In Proceedings of the 2019 7th International Conference on Information and Communication Technology (ICoICT), Kuala Lumpur, Malaysia, 24–26 July 2019; pp. 1–6. [Google Scholar]
- Gohary, R.H.; Yanikomeroglu, H. Grassmannian signalling achieves tight bounds on the ergodic high-SNR capacity of the noncoherent MIMO full-duplex relay channel. IEEE Trans. Inf. Theory 2014, 60, 2480–2494. [Google Scholar] [CrossRef] [Green Version]
- Arifin, A.S.; Ohtsuki, T. Ergodic capacity analysis of full-duplex amplify-forward MIMO relay channel using Tracy-Widom distribution. In Proceedings of the 2015 IEEE 26th Annual Int. Symposium Personal, Indoor, and Mobile Radio Communications (PIMRC), Hong Kong, China, 30 August–2 September 2015; pp. 266–270. [Google Scholar]
- Cui, H.; Ma, M.; Song, L.; Jiao, B. Relay selection for two-way full duplex relay networks with amplify-and-forward protocol. IEEE Trans. Wirel. Commun. 2014, 13, 3768–3777. [Google Scholar] [CrossRef]
- Yang, K.; Cui, H.; Song, L.; Li, Y. Efficient full-duplex relaying with joint antenna-relay selection and self-interference suppression. IEEE Trans. Wirel. Commun. 2015, 14, 3991–4005. [Google Scholar] [CrossRef]
- You, J.; Zhong, Z.; Dou, Z.; Dang, J.; Wang, G. Wireless relay communication on high speed railway: Full duplex or half duplex? China Commun. 2016, 13, 14–26. [Google Scholar] [CrossRef]
- Jebur, B.A.; Tsimenidis, C.C.; Chambers, J.A. Tight upper bound ergodic capacity of an AF full-duplex physical-layer network coding system. In Proceedings of the 2016 IEEE 27th Annual Int. Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC), Valencia, Spain, 4–7 September 2016; pp. 1–6. [Google Scholar]
- Hu, R.; Hu, C.; Jiang, J.; Xie, X.; Song, L. Full-duplex mode in amplify-and-forward relay channels: Outage probability and ergodic capacity. Int. J. Antennas Propag. 2014, 2014, 347540. [Google Scholar] [CrossRef]
- Cheng, L.; Henty, B.E.; Stancil, D.D.; Bai, F.; Mudalige, P. Mobile vehicle-to-vehicle narrow-band channel measurement and characterization of the 5.9 GHz dedicated short range communication DSRC frequency band. IEEE J. Sel. Areas Commun. 2007, 25, 1501–1516. [Google Scholar] [CrossRef]
- Tassi, A.; Egan, M.; Piechocki, R.J.; Nix, A. Modeling and design of millimeter-wave networks for highway vehicular communication. IEEE Trans. Veh. Technol. 2017, 66, 10676–10691. [Google Scholar] [CrossRef] [Green Version]
- Mafra, S.B.; Fernandez, E.M.; Souza, R.D. Performance analysis of full-duplex cooperative communication in vehicular Ad-Hoc networks. IFAC-Pap. Online 2016, 49, 227–232. [Google Scholar] [CrossRef]
- He, R.; Molisch, A.F.; Tufvesson, F.; Zhong, Z.; Ai, B.; Zhang, T. Vehicle-to-vehicle propagation models with large vehicle obstructions. IEEE Trans. Intell. Transp. Syst. 2014, 15, 2237–2248. [Google Scholar] [CrossRef]
- Eshteiwi, K.; Kaddoum, G.; Fredj, K.; Soujeri, E.; Gagnon, F. Performance analysis of full-duplex vehicle relay-based selection in dense multi-lane highways. IEEE Access 2019, 7, 61581–61595. [Google Scholar] [CrossRef]
- Koç, A.; Altunbas, I.; Yongaçoglu, A. Outage probability of two-way full-duplex AF relay systems over Nakagami-m fading channels. In Proceedings of the 2016 IEEE 84th Vehicular Technology Conference (VTC-Fall), Montréal, QC, Canada, 18–21 September 2016; pp. 1–5. [Google Scholar]
- Airod, F.E.; Chafnaji, H.; Tamtaoui, A. Performance analysis for amplify and forward full-duplex relaying with direct link over Nakagami-m fading channel. In Proceedings of the International Conference on Wireless Networks and Mobile Communications (WINCOM), Rabat, Morocco, 1–4 November 2017; pp. 1–6. [Google Scholar]
- Ai, Y.; Cheffena, M. Performance analysis of hybrid-ARQ over full-duplex relaying network subject to loop interference under nakagami-m fading channels. In Proceedings of the IEEE Vehicular Technology Conference (VTC Spring), Sydney, Australia, 4–7 June 2017; pp. 1–5. [Google Scholar]
- Xu, Y.; Wang, Y.; Wang, C.; Xu, K. On the performance of full-duplex decode-and-forward relaying over Nakagami-m fading channels. In Proceedings of the 2014 Sixth International Conference on Wireless Communications and Signal Processing (WCSP), Hefei, China, 23–25 October 2014; pp. 1–6. [Google Scholar]
- Shi, Z.; Ma, S.; Hou, F.; Tam, K.W. Analysis on full duplex amplify-and-forward relay networks under Nakagami fading channels. In Proceedings of the 2015 IEEE Global Communications Conference (GLOBECOM), San Diego, CA, USA, 6–10 December 2015; pp. 1–6. [Google Scholar]
- Gaafar, M.; Khafagy, M.G.; Amin, O.; Schaefer, R.F.; Alouini, M.S. Full-duplex relaying with improper gaussian signaling over Nakagami-m fading channels. IEEE Trans. Commun. 2017, 66, 64–78. [Google Scholar] [CrossRef] [Green Version]
- Soliman, S.S.; Beaulieu, N.C. The bottleneck effect of Rician fading in dissimilar dual-hop AF relaying systems. IEEE Trans. Vehicul. Technol. 2013, 63, 1957–1965. [Google Scholar] [CrossRef]
- Krikidis, I.; Thompson, J.; McLaughlin, S.; Goertz, N. Amplify-and-forward with partial relay selection. IEEE Commun. Lett. 2008, 12, 235–237. [Google Scholar] [CrossRef]
- da Costa, D.B.; Aissa, S. Performance analysis of relay selection techniques with clustered fixed-gain relays. IEEE Signal Proc. Lett. 2009, 17, 201–204. [Google Scholar] [CrossRef]
- Jalil, A.M.; Meghdadi, V.; Cances, J.P. Relay assignment in decode-and-forward cooperative networks based on order-statistics. In Proceedings of the 21st Annual IEEE International Symposium on Personal, Indoor and Mobile Radio Communications, Instanbul, Turkey, 26–30 September 2010; pp. 2404–2409. [Google Scholar]
- Alghorani, Y.; Seyfi, M. On the performance of reduced-complexity transmit/receive-diversity systems over MIMO-V2V channel model. IEEE Wirel. Commun. Lett. 2017, 6, 214–217. [Google Scholar] [CrossRef] [Green Version]
- Alghorani, Y.; Kaddoum, G.; Muhaidat, S.; Pierre, S. On the approximate analysis of energy detection over N* rayleigh fading channels through cooperative spectrum sensing. IEEE Wirel. Commun. Lett. 2015, 4, 413–416. [Google Scholar] [CrossRef] [Green Version]
- Caire, G.; Jindal, N.; Kobayashi, M.; Ravindran, N. Multiuser MIMO achievable rates with downlink training and channel state feedback. IEEE Trans. Inf. Theory 2010, 56, 2845–2866. [Google Scholar] [CrossRef] [Green Version]
- Laneman, J.N.; Tse, D.N.; Wornell, G.W. Cooperative diversity in wireless networks: Efficient protocols and outage behavior. IEEE Trans. Inf. Theory 2004, 50, 3062–3080. [Google Scholar] [CrossRef]
- Ikki, S.S.; Ahmed, M.H. Performance analysis of decode-and-forward incremental relaying cooperative-diversity networks over Rayleigh fading channels. In Proceedings of the IEEE 26th Annual IEEE International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC), Tokyo, Japan, 13–16 September 2009; pp. 1–6. [Google Scholar]
- Lateef, H.; McLernon, D.C.; Ghogho, M. Performance analysis of cooperative communications with opportunistic relaying. In Proceedings of the IEEE International Workshop on Signal Processing Advances in Wireless Communications (SPAWC), Sapporo, Japan, 3–6 June 2010; pp. 1–5. [Google Scholar]
- Hasna, M.O.; Alouini, M.S. Outage probability of multihop transmission over Nakagami fading channels. IEEE Commun. Lett. 2003, 7, 216–218. [Google Scholar] [CrossRef]
- Simon, M.K.; Alouini, M.S. Digital Communication Over Fading Channels; John Wiley & Sons: Somerset, NJ, USA, 2005; Volume 95. [Google Scholar]
- Jeffrey, A.; Zwillinger, D. Table of Integrals, Series, and Products; Academic Press: Burlington, MA, USA, 2007. [Google Scholar]
- Verma, R. On some integrals involving Meijer’s G-fucntion of two variables. Proc. Natl. Inst. Sci. India 1966, 39, 509–515. [Google Scholar]
- Ansari, I.S.; Al-Ahmadi, S.; Yilmaz, F.; Alouini, M.S.; Yanikomeroglu, H. A new formula for the BER of binary modulations with dual-branch selection over generalized-K composite fading channels. IEEE Trans. Commun. 2011, 59, 2654–2658. [Google Scholar] [CrossRef] [Green Version]
- Amarasuriya, G.; Tellambura, C.; Ardakani, M. Performance analysis of hop-by-hop beamforming for dual-hop MIMO AF relay networks. IEEE Trans. Commun. 2012, 60, 1823–1837. [Google Scholar] [CrossRef]
- Wang, Y.; Xu, Y.; Li, N.; Xie, W.; Xu, K.; Xia, X. Relay selection of full-duplex decode-and-forward relaying over Nakagami-m fading channels. IET Commun. 2016, 10, 170–179. [Google Scholar] [CrossRef]
- Eshteiwi, K.; Ben Fredj, K.; Kaddoum, G.; Gagnon, F. Performance analysis of peer-to-peer V2V wireless communications in the presence of interference. In Proceedings of the IEEE 26th Annual IEEE International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC), Montreal, QC, Canada, 8–13 October 2017; pp. 1–6. [Google Scholar]
- Agrawal, R. On certain transformation formulae and Meijer’s G-function of two variables. Indian J. Pure Appl. Math. 1970, 1, 537–551. [Google Scholar]
© 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
Share and Cite
Eshteiwi, K.; Kaddoum, G.; Alam, M.S. Ergodic Capacity Analysis of Full Duplex Relaying in the Presence of Co-Channel Interference in V2V Communications. Sensors 2020, 20, 261. https://doi.org/10.3390/s20010261
Eshteiwi K, Kaddoum G, Alam MS. Ergodic Capacity Analysis of Full Duplex Relaying in the Presence of Co-Channel Interference in V2V Communications. Sensors. 2020; 20(1):261. https://doi.org/10.3390/s20010261
Chicago/Turabian StyleEshteiwi, Khaled, Georges Kaddoum, and M. S. Alam. 2020. "Ergodic Capacity Analysis of Full Duplex Relaying in the Presence of Co-Channel Interference in V2V Communications" Sensors 20, no. 1: 261. https://doi.org/10.3390/s20010261
APA StyleEshteiwi, K., Kaddoum, G., & Alam, M. S. (2020). Ergodic Capacity Analysis of Full Duplex Relaying in the Presence of Co-Channel Interference in V2V Communications. Sensors, 20(1), 261. https://doi.org/10.3390/s20010261