{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:19:24Z","timestamp":1760242764790,"version":"build-2065373602"},"reference-count":37,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2016,6,9]],"date-time":"2016-06-09T00:00:00Z","timestamp":1465430400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Relaying is one of the useful techniques to enhance wireless physical-layer security. Existing literature shows that employing full-duplex relay instead of conventional half-duplex relay improves secrecy capacity and secrecy outage probability, but this is at the price of sophisticated implementation. As an alternative, two-path successive relaying has been proposed to emulate operation of full-duplex relay by scheduling a pair of half-duplex relays to assist the source transmission alternately. However, the performance of two-path successive relaying in secrecy communication remains unexplored. This paper proposes a secrecy two-path successive relaying protocol for a scenario with one source, one destination and two half-duplex relays. The relays operate alternately in a time division mode to forward messages continuously from source to destination in the presence of an eavesdropper. Analytical results reveal that the use of two half-duplex relays in the proposed scheme contributes towards a quadratically lower probability of interception compared to full-duplex relaying. Numerical simulations show that the proposed protocol achieves the ergodic achievable secrecy rate of full-duplex relaying while delivering the lowest probability of interception and secrecy outage probability compared to the existing half duplex relaying, full duplex relaying and full duplex jamming schemes.<\/jats:p>","DOI":"10.3390\/s16060846","type":"journal-article","created":{"date-parts":[[2016,6,9]],"date-time":"2016-06-09T12:38:18Z","timestamp":1465475898000},"page":"846","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Physical Layer Security Using Two-Path Successive Relaying"],"prefix":"10.3390","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0227-684X","authenticated-orcid":false,"given":"Qian","family":"Liau","sequence":"first","affiliation":[{"name":"Wireless Communication Centre, Faculty of Electrical Engineering, Universiti Teknologi Malaysia, Skudai 81310, Johor, Malaysia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chee","family":"Leow","sequence":"additional","affiliation":[{"name":"Wireless Communication Centre, Faculty of Electrical Engineering, Universiti Teknologi Malaysia, Skudai 81310, Johor, Malaysia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhiguo","family":"Ding","sequence":"additional","affiliation":[{"name":"School of Computing and Communications, Lancaster University, Lancaster, LA1 4YW, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2016,6,9]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Wang, G., Huang, L., Xu, H., and Li, J. (2008, January 12\u201314). Relay Node Placement for Maximizing Network Lifetime in Wireless Sensor Networks. Proceedings of the 4th International Conference on Wireless Communications, Networking and Mobile Computing, Dalian, China.","DOI":"10.1109\/WiCom.2008.919"},{"key":"ref_2","unstructured":"Zhu, Y., Zhang, Y., Xie, J., and Bai, C. (2013, January 15\u201317). A new optimal power allocation scheme for opportunistic cooperative multicast transmission and network coding in wireless sensor networks. Proceedings of the IEEE 4th International Conference on Electronics Information and Emergency Communication (ICEIEC), Beijing, China."},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Prathibha, V., and Aruna, T. (2014, January 18\u201320). Enhancing the network lifetime of cooperative wireless sensor networks using energy harvesting technique. Proceedings of the IEEE International Conference on Computational Intelligence and Computing Research (ICCIC), Coimbatore, India.","DOI":"10.1109\/ICCIC.2014.7238468"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1109\/MVT.2013.2269187","article-title":"5G on the Horizon: Key Challenges for the Radio-Access Network","volume":"8","author":"Demestichas","year":"2013","journal-title":"IEEE Vehicul. Technol. Mag."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"24","DOI":"10.1109\/MCOM.1978.1089772","article-title":"An overview of public key cryptography","volume":"16","author":"Hellman","year":"1978","journal-title":"IEEE Commun. Soc. Mag."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"146","DOI":"10.1109\/MCOM.2006.1632662","article-title":"A primer on cryptography in communications","volume":"44","author":"Kartalopoulos","year":"2006","journal-title":"IEEE Commun. Mag."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"2470","DOI":"10.1109\/TIT.2008.921678","article-title":"Secure Communication Over Fading Channels","volume":"54","author":"Liang","year":"2008","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"2515","DOI":"10.1109\/TIT.2008.921908","article-title":"Wireless Information-Theoretic Security","volume":"54","author":"Bloch","year":"2008","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"4687","DOI":"10.1109\/TIT.2008.928990","article-title":"On the Secrecy Capacity of Fading Channels","volume":"54","author":"Gopala","year":"2008","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"2453","DOI":"10.1109\/TIT.2008.921861","article-title":"Secure Broadcasting Over Fading Channels","volume":"54","author":"Khisti","year":"2008","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"656","DOI":"10.1002\/j.1538-7305.1949.tb00928.x","article-title":"Communication theory of secrecy systems","volume":"28","author":"Shannon","year":"1949","journal-title":"Bell Syst. Tech. J."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1109\/TIFS.2014.2374356","article-title":"Secrecy Transmission With a Helper: To Relay or to Jam","volume":"10","author":"Deng","year":"2015","journal-title":"IEEE Trans. Inf. Forens. Secur."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"1147","DOI":"10.1109\/LSP.2014.2387860","article-title":"Secure Relay and Jammer Selection for Physical Layer Security","volume":"22","author":"Hui","year":"2015","journal-title":"IEEE Signal Process. Lett."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"682","DOI":"10.1109\/TIFS.2013.2248730","article-title":"Destination Assisted Cooperative Jamming for Wireless Physical-Layer Security","volume":"8","author":"Liu","year":"2013","journal-title":"IEEE Trans. Inf. Forens. Secur."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"242","DOI":"10.1109\/TIFS.2009.2020776","article-title":"Wireless Secrecy in Cellular Systems With Infrastructure-Aided Cooperation","volume":"4","author":"Popovski","year":"2009","journal-title":"IEEE Trans. Inf. Forens. Secur."},{"key":"ref_16","first-page":"5103","article-title":"Physical-Layer Security with Multiuser Scheduling in Cognitive Radio Networks","volume":"61","author":"Zou","year":"2013","journal-title":"CoRR"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"42","DOI":"10.1109\/MNET.2015.7018202","article-title":"Improving physical-layer security in wireless communications using diversity techniques","volume":"29","author":"Zou","year":"2015","journal-title":"IEEE Netw."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"2007","DOI":"10.1109\/TIFS.2013.2287046","article-title":"Hybrid Cooperative Beamforming and Jamming for Physical-Layer Security of Two-Way Relay Networks","volume":"8","author":"Wang","year":"2013","journal-title":"IEEE Trans. Inf. Forens. Secur."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"1741","DOI":"10.1109\/TCOMM.2015.2409171","article-title":"Outage Constrained Secrecy Throughput Maximization for DF Relay Networks","volume":"63","author":"Zheng","year":"2015","journal-title":"IEEE Trans. Commun."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1109\/MCOM.2015.7355565","article-title":"Enhancing wireless secrecy via cooperation: signal design and optimization","volume":"53","author":"Wang","year":"2015","journal-title":"IEEE Commun. Mag."},{"key":"ref_21","unstructured":"Li, W., Rikkinen, K., Pirinen, P., Tapio, V., Lavin, C., Gonz\u00e1les, L., Debaillie, B., van Liempd, B., Klumperink, E., and van den Broek, D.J. (2013). System Scenarios and Technical Requirements for Full-Duplex Concept, DUPLO. Technical Report."},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Bliss, D., Hancock, T., and Schniter, P. (2012, January 4\u20137). Hardware phenomenological effects on cochannel full-duplex MIMO relay performance. Proceedings of the 2012 Conference Record of the Forty Sixth Asilomar Conference on Signals, Systems and Computers (ASILOMAR), Pacific Grove, CA, USA.","DOI":"10.1109\/ACSSC.2012.6488953"},{"key":"ref_23","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_24","unstructured":"Taghizadeh, O., and Mathar, R. (2014, January 12\u201313). Full-Duplex Decode-and-Forward Relaying with Limited Self-Interference Cancellation. Proceedings of the 2014 18th International ITG Workshop on Smart Antennas (WSA), Erlangen, Germany."},{"key":"ref_25","doi-asserted-by":"crossref","unstructured":"Vermeulen, T., Rosas, F., van Liempd, B., Verhelst, M., and Pollin, S. (2015, January 7\u20139). An energy-scalable in-band full duplex architecture. Proceedings of the 2015 IEEE 20th International Workshop on Computer Aided Modelling and Design of Communication Links and Networks (CAMAD), Guildford, UK.","DOI":"10.1109\/CAMAD.2015.7390474"},{"key":"ref_26","doi-asserted-by":"crossref","unstructured":"Alves, H., Souza, R.D., and Pellenz, M.E. (2015, January 7\u20139). Brief survey on full-duplex relaying and its applications on 5G. Proceedings of the 2015 IEEE 20th International Workshop on Computer Aided Modelling and Design of Communication Links and Networks (CAMAD), Guildford, UK.","DOI":"10.1109\/CAMAD.2015.7390473"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"574","DOI":"10.1109\/TIFS.2015.2390136","article-title":"Physical Layer Network Security in the Full-Duplex Relay System","volume":"10","author":"Chen","year":"2015","journal-title":"IEEE Trans. Inf. Forens. Secur."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1109\/JSAC.2007.070213","article-title":"Spectral efficient protocols for half-duplex fading relay channels","volume":"25","author":"Rankov","year":"2007","journal-title":"IEEE J. Sel. Areas Commun."},{"key":"ref_29","first-page":"82","article-title":"Performance of Two-Path Successive Relaying in the Presence of Inter-Relay Interference","volume":"74","author":"Liau","year":"2015","journal-title":"J. Theor. Appl. Inf. Technol."},{"key":"ref_30","doi-asserted-by":"crossref","unstructured":"Liau, Q.Y., and Leow, C.Y. (2014, January 28\u201330). Study of relay position in two-path successive relaying with interference cancellation. Proceedings of the 2014 IEEE Asia Pacific Conference on Wireless and Mobile, Bali, France.","DOI":"10.1109\/APWiMob.2014.6920308"},{"key":"ref_31","doi-asserted-by":"crossref","unstructured":"Nomikos, N., and Vouyioukas, D. (2012, January 27\u201331). A successive opportunistic relaying protocol with inter-relay interference mitigation. Proceedings of the 8th International Wireless Communications and Mobile Computing Conference (IWCMC), Limassol, Cyprus.","DOI":"10.1109\/IWCMC.2012.6314208"},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"1892","DOI":"10.1109\/TWC.2012.030512.111353","article-title":"An Efficient Successive Relaying Protocol for Multiple-Relay Cooperative Networks","volume":"11","author":"Hu","year":"2012","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_33","doi-asserted-by":"crossref","unstructured":"Nomikos, N., Vouyioukas, D., Charalambous, T., Krikidis, I., Skoutas, D., and Johansson, M. (2013, January 24\u201327). Capacity improvement through buffer-aided successive opportunistic relaying. Proceedings of the 3rd International Conference on Wireless Communications, Vehicular Technology, Information Theory and Aerospace Electronic Systems (VITAE), Atlantic City, NJ, USA.","DOI":"10.1109\/VITAE.2013.6617051"},{"key":"ref_34","doi-asserted-by":"crossref","unstructured":"Nomikos, N., Charalambous, T., Krikidis, I., Skoutas, D., Vouyioukas, D., and Johansson, M. (2013, January 8\u201311). Buffer-aided successive opportunistic relaying with inter-relay interference cancellation. Proceedings of the IEEE 24th International Symposium on Personal Indoor and Mobile Radio Communications (PIMRC), London, UK.","DOI":"10.1109\/PIMRC.2013.6666343"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"823","DOI":"10.1002\/ett.2718","article-title":"Joint relay-pair selection for buffer-aided successive opportunistic relaying","volume":"25","author":"Nomikos","year":"2014","journal-title":"Trans. Emerg. Telecommun. Technol."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"451","DOI":"10.1109\/TIT.1978.1055917","article-title":"The Gaussian wire-tap channel","volume":"24","author":"Hellman","year":"1978","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_37","unstructured":"Gradshteyn, I.S., and Ryzhik, I.M. (2007). Table of Integrals, Series, and Products, Elsevier\/Academic Press. [7th ed.]."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/16\/6\/846\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T19:25:14Z","timestamp":1760210714000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/16\/6\/846"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,6,9]]},"references-count":37,"journal-issue":{"issue":"6","published-online":{"date-parts":[[2016,6]]}},"alternative-id":["s16060846"],"URL":"https:\/\/doi.org\/10.3390\/s16060846","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2016,6,9]]}}}