{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:15:56Z","timestamp":1760235356824,"version":"build-2065373602"},"reference-count":47,"publisher":"MDPI AG","issue":"16","license":[{"start":{"date-parts":[[2021,8,20]],"date-time":"2021-08-20T00:00:00Z","timestamp":1629417600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Ministry of Trade, Industry and Energy of Korean government","award":["18-CM-SW-19"],"award-info":[{"award-number":["18-CM-SW-19"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>In practice, self-interference (SI) in full-duplex (FD) wireless communication systems cannot be completely eliminated due to imperfections in different factors, such as the SI channel estimation and hardware circuits. Therefore, residual SI (RSI) always exists in FD systems. In addition, hardware impairments (HIs) cannot be avoided in FD systems due to the non-ideal characteristics of electronic components. These issues motivate us to consider an FD-HI system with a decode-and-forward (DF) relay that is applied for vehicle-to-vehicle (V2V) communication. Unlike previous works, the performance of the proposed FD-HI-V2V system is evaluated over cascaded Rayleigh fading channels (CRFCs). We mathematically obtain the exact closed-form expressions of the outage probability (OP), system throughput (ST), and ergodic capacity (EC) of the proposed FD-HI-V2V system under the joint and crossed effects of the RSI, HIs, and CRFCs. We validate all derived expressions via Monte-Carlo simulations. Based on these expressions, the OP, ST, and EC of the proposed FD-HI-V2V system are investigated and compared with other related systems, such as ideal hardware (ID) and half-duplex (HD) systems, as well as a system over traditional Rayleigh fading channels (RFCs), to clearly show the impacts of negative factors.<\/jats:p>","DOI":"10.3390\/s21165628","type":"journal-article","created":{"date-parts":[[2021,8,22]],"date-time":"2021-08-22T22:59:27Z","timestamp":1629673167000},"page":"5628","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Impacts of Residual Self-Interference, Hardware Impairment and Cascade Rayleigh Fading on the Performance of Full-Duplex Vehicle-to-Vehicle Relay Systems"],"prefix":"10.3390","volume":"21","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4532-5493","authenticated-orcid":false,"given":"Ba Cao","family":"Nguyen","sequence":"first","affiliation":[{"name":"School of Information and Communication Engineering, Chungbuk National University, Cheongju 28644, Korea"},{"name":"Faculty of Basic Techniques, Telecommunications University, Khanh Hoa 650000, Vietnam"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6093-410X","authenticated-orcid":false,"given":"Le The","family":"The Dung","sequence":"additional","affiliation":[{"name":"School of Information and Communication Engineering, Chungbuk National University, Cheongju 28644, Korea"}]},{"given":"Huu Minh","family":"Nguyen","sequence":"additional","affiliation":[{"name":"Faculty of Radio Communications, Telecommunications University, Khanh Hoa 650000, Vietnam"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6326-2559","authenticated-orcid":false,"given":"Taejoon","family":"Kim","sequence":"additional","affiliation":[{"name":"School of Information and Communication Engineering, Chungbuk National University, Cheongju 28644, Korea"}]},{"given":"Young-Il","family":"Kim","sequence":"additional","affiliation":[{"name":"Electronics and Telecommunications Research Institute, Daejeon 34129, Korea"}]}],"member":"1968","published-online":{"date-parts":[[2021,8,20]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"60","DOI":"10.1109\/MWC.2019.1800503","article-title":"Internet of autonomous vehicles communications security: Overview, issues, and directions","volume":"26","author":"Nanda","year":"2019","journal-title":"IEEE Wirel. Commun."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"36","DOI":"10.1109\/MCOM.2018.1800110","article-title":"Interference-aided vehicular networks: Future research opportunities and challenges","volume":"56","author":"Jameel","year":"2018","journal-title":"IEEE Commun. Mag."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1049\/iet-com.2015.0236","article-title":"Outage performance of cognitive cooperative networks with relay selection over double-Rayleigh fading channels","volume":"10","author":"Duy","year":"2016","journal-title":"IET Commun."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"97953","DOI":"10.1109\/ACCESS.2021.3094161","article-title":"On the Design of Sidelink for Cellular V2X: A Literature Review and Outlook for Future","volume":"9","author":"Bazzi","year":"2021","journal-title":"IEEE Access"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"14","DOI":"10.1109\/MWC.2017.1600414","article-title":"V2X meets NOMA: Non-orthogonal multiple access for 5G-enabled vehicular networks","volume":"24","author":"Di","year":"2017","journal-title":"IEEE Wirel. Commun."},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Shimizu, T., Va, V., Bansal, G., and Heath, R.W. (2018, January 6\u20139). Millimeter wave V2X communications: Use cases and design considerations of beam management. Proceedings of the 2018 Asia-Pacific Microwave Conference (APMC), Kyoto, Japan.","DOI":"10.23919\/APMC.2018.8617303"},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Campolo, C., Molinaro, A., Romeo, F., Bazzi, A., and Berthet, A.O. (2019, January 2). Full duplex-aided sensing and scheduling in cellular-v2x mode 4. Proceedings of the 1st ACM MobiHoc Workshop on Technologies, mOdels, and Protocols for Cooperative Connected Cars, Catania, Italy.","DOI":"10.1145\/3331054.3331549"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"5983","DOI":"10.1109\/TSP.2011.2164910","article-title":"Mitigation of loopback self-interference in full-duplex MIMO relays","volume":"59","author":"Riihonen","year":"2011","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"375","DOI":"10.1145\/2534169.2486033","article-title":"Full duplex radios","volume":"Volume 43","author":"Bharadia","year":"2013","journal-title":"ACM SIGCOMM Computer Communication Review"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1109\/MCOM.2015.7105647","article-title":"Recent advances in antenna design and interference cancellation algorithms for in-band full duplex relays","volume":"53","author":"Heino","year":"2015","journal-title":"IEEE Commun. Mag."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1016\/j.phycom.2019.03.006","article-title":"A survey on implementation and applications of full duplex wireless communications","volume":"34","author":"Gazestani","year":"2019","journal-title":"Phys. Commun."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"3282","DOI":"10.1109\/TWC.2017.2679055","article-title":"MIMO energy harvesting in full-duplex multi-user networks","volume":"16","author":"Tam","year":"2017","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1007\/s11036-019-01291-x","article-title":"Performance analysis of full-duplex vehicle-to-vehicle relay system over double-rayleigh fading channels","volume":"25","author":"Nguyen","year":"2020","journal-title":"Mob. Netw. Appl."},{"key":"ref_14","first-page":"100166","article-title":"Performance analysis of vehicle-to-vehicle communication with full-duplex amplify-and-forward relay over double-Rayleigh fading channels","volume":"19","author":"Nguyen","year":"2019","journal-title":"Veh. Commun."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"4059","DOI":"10.1109\/TVT.2017.2789250","article-title":"Dual-band full-duplex Tx\/Rx antennas for vehicular communications","volume":"67","author":"Mao","year":"2018","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"1820","DOI":"10.1109\/TVT.2017.2758794","article-title":"Interference management for in-band full-duplex vehicular access networks","volume":"67","author":"Yang","year":"2017","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"182","DOI":"10.1109\/MCOM.2017.1600391","article-title":"Full-duplex radios for vehicular communications","volume":"55","author":"Campolo","year":"2017","journal-title":"IEEE Commun. Mag."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"153289","DOI":"10.1016\/j.aeue.2020.153289","article-title":"On the performance of roadside unit-assisted energy harvesting full-duplex amplify-and-forward vehicle-to-vehicle relay systems","volume":"123","author":"Nguyen","year":"2020","journal-title":"AEU-Int. J. Electron. Commun."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"3539450","DOI":"10.1155\/2020\/3539450","article-title":"Analysis of Outage Probability and Throughput for Energy Harvesting Full-Duplex Decode-and-Forward Vehicle-to-Vehicle Relay System","volume":"2020","author":"Nguyen","year":"2020","journal-title":"Wirel. Commun. Mob. Comput."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"2402","DOI":"10.1109\/TWC.2018.2794967","article-title":"Enhancing cooperative driving in IEEE 802.11 vehicular networks through full-duplex radios","volume":"17","author":"Bazzi","year":"2018","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Schenk, T. (2008). RF Imperfections in High-Rate Wireless Systems: Impact and Digital Compensation, Springer Science & Business Media.","DOI":"10.1007\/978-1-4020-6903-1"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"1644","DOI":"10.1109\/TWC.2017.2783934","article-title":"Hardware Impairments Aware Transceiver Design for Full-Duplex Amplify-and-Forward MIMO Relaying","volume":"17","author":"Taghizadeh","year":"2017","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"7112","DOI":"10.1109\/TIT.2014.2354403","article-title":"Massive MIMO systems with non-ideal hardware: Energy efficiency, estimation, and capacity limits","volume":"60","author":"Bjornson","year":"2014","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1109\/TCOMM.2017.2753773","article-title":"Impact of Residual Additive Transceiver Hardware Impairments on Rayleigh-Product MIMO Channels with Linear Receivers: Exact and Asymptotic Analyses","volume":"66","author":"Papazafeiropoulos","year":"2017","journal-title":"IEEE Trans. Commun."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"1594","DOI":"10.1109\/TCOMM.2015.2396517","article-title":"Proactive relay selection with joint impact of hardware impairment and co-channel interference","volume":"63","author":"Duy","year":"2015","journal-title":"IEEE Trans. Commun."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"153751","DOI":"10.1016\/j.aeue.2021.153751","article-title":"SER performance of MIMO full-duplex relay system with channel estimation errors and transceivers hardware impairments","volume":"136","author":"Nguyen","year":"2021","journal-title":"AEU-Int. J. Electron. Commun."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"185218","DOI":"10.1109\/ACCESS.2020.3028860","article-title":"On the Performance of Full-Duplex Spatial Modulation MIMO System With and Without Transmit Antenna Selection Under Imperfect Hardware Conditions","volume":"8","author":"Nguyen","year":"2020","journal-title":"IEEE Access"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"1593","DOI":"10.1109\/TVT.2018.2888690","article-title":"Multiple antenna systems with hardware impairments: New performance limits","volume":"68","author":"Javed","year":"2018","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"11632","DOI":"10.1109\/TVT.2020.3015558","article-title":"Improper Gaussian Signaling for the K-user MIMO Interference Channels with Hardware Impairments","volume":"69","author":"Soleymani","year":"2020","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"20191","DOI":"10.1109\/ACCESS.2020.2968571","article-title":"Improving the performance of spatial modulation full-duplex relaying system with hardware impairment using transmit antenna selection","volume":"8","author":"Nguyen","year":"2020","journal-title":"IEEE Access"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"836","DOI":"10.1109\/TCOMM.2014.011014.130458","article-title":"I\/Q imbalance in AF dual-hop relaying: Performance analysis in Nakagami-m fading","volume":"62","author":"Li","year":"2014","journal-title":"IEEE Trans. Commun."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"1458","DOI":"10.1109\/TCOMM.2014.022314.130911","article-title":"OFDM opportunistic relaying under joint transmit\/receive I\/Q imbalance","volume":"62","author":"Mokhtar","year":"2014","journal-title":"IEEE Trans. Commun."},{"key":"ref_33","doi-asserted-by":"crossref","unstructured":"Nguyen, B.C., Hoang, T.M., Tran, X.N., and Kim, T. (2021). Impacts of Imperfect CSI and Transceiver Hardware Noise on the Performance of Full-Duplex DF Relay System with Multi-Antenna Terminals over Nakagami-m Fading Channels. IEEE Trans. Commun., 1.","DOI":"10.1109\/TCOMM.2021.3100504"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"448","DOI":"10.1109\/TCOMM.2017.2757466","article-title":"On the double-generalized gamma statistics and their application to the performance analysis of V2V communications","volume":"66","author":"Bithas","year":"2017","journal-title":"IEEE Trans. Commun."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"19597","DOI":"10.1109\/ACCESS.2018.2820746","article-title":"Statistical properties of double Hoyt fading with applications to the performance analysis of wireless communication systems","volume":"6","author":"Hajri","year":"2018","journal-title":"IEEE Access"},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"1038","DOI":"10.1109\/LWC.2018.2852765","article-title":"On physical layer security of double Rayleigh fading channels for vehicular communications","volume":"7","author":"Ai","year":"2018","journal-title":"IEEE Wirel. Commun. Lett."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"1160","DOI":"10.1109\/TVT.2013.2284712","article-title":"Design and characterization of a full-duplex multiantenna system for WiFi networks","volume":"63","author":"Duarte","year":"2013","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"57516","DOI":"10.1109\/ACCESS.2019.2914002","article-title":"Distribution of the residual self-interference power in in-band full-duplex wireless systems","volume":"7","author":"Irio","year":"2019","journal-title":"IEEE Access"},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"4073","DOI":"10.1109\/TVT.2016.2610004","article-title":"Outage Analysis of the Full-Duplex Decode-and-Forward Two-Way Relay System","volume":"66","author":"Li","year":"2017","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"4777","DOI":"10.1109\/JSYST.2019.2960599","article-title":"Transmit Antenna Selection for Full-Duplex Spatial Modulation Multiple-Input Multiple-Output System","volume":"14","author":"Nguyen","year":"2020","journal-title":"IEEE Syst. J."},{"key":"ref_41","first-page":"1","article-title":"Performance analysis of full-duplex decode-and-forward two-way relay networks with transceiver impairments","volume":"76","author":"Nguyen","year":"2021","journal-title":"Ann. Telecommun."},{"key":"ref_42","doi-asserted-by":"crossref","unstructured":"<i>Javed, S., Amin, O., and Alouini, M.S. (2017, January 5\u20139). Full-duplex relaying under I\/Q imbalance using improper Gaussian signaling. Proceedings of the 2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), New Orleans, LA, USA.","DOI":"10.1109\/ICASSP.2017.7953416"},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"8624","DOI":"10.1109\/TCOMM.2019.2939310","article-title":"Improper signaling for SISO two-user interference channels with additive asymmetric hardware distortion","volume":"67","author":"Lameiro","year":"2019","journal-title":"IEEE Trans. Commun."},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"3920","DOI":"10.1109\/TWC.2016.2531050","article-title":"Full-duplex two-way and one-way relaying: Average rate, outage probability, and tradeoffs","volume":"15","author":"Ma","year":"2016","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_45","doi-asserted-by":"crossref","unstructured":"<i>Goldsmith, A. (2005). Wireless Communications, Cambridge University Press.","DOI":"10.1017\/CBO9780511841224"},{"key":"ref_46","unstructured":"<i>Abramowitz, M., and Stegun, I.A. (1972). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Dover Publications."},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"e3421","DOI":"10.1002\/ett.3421","article-title":"Cooperative NOMA with full-duplex amplify-and-forward relaying","volume":"29","author":"Ebrahimi","year":"2018","journal-title":"Trans. Emerg. Telecommun. Technol."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/21\/16\/5628\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T06:48:13Z","timestamp":1760165293000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/21\/16\/5628"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,8,20]]},"references-count":47,"journal-issue":{"issue":"16","published-online":{"date-parts":[[2021,8]]}},"alternative-id":["s21165628"],"URL":"https:\/\/doi.org\/10.3390\/s21165628","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2021,8,20]]}}}