{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T04:31:08Z","timestamp":1772253068796,"version":"3.50.1"},"reference-count":53,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2018,6,5]],"date-time":"2018-06-05T00:00:00Z","timestamp":1528156800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"\u201cHuman Resources Program in Energy Technology\u201d of the Korea Institute of Energy Technology Evaluation and Planning (KETEP)","award":["20164030201330"],"award-info":[{"award-number":["20164030201330"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>To solve the problem of energy constraints and spectrum scarcity for cognitive radio wireless sensor networks (CR-WSNs), an underlay decode-and-forward relaying scheme is considered, where the energy constrained secondary source and relay nodes are capable of harvesting energy from a multi-antenna power beacon (PB) and using that harvested energy to forward the source information to the destination. Based on the time switching receiver architecture, three relaying protocols, namely, hybrid partial relay selection (H-PRS), conventional opportunistic relay selection (C-ORS), and best opportunistic relay selection (B-ORS) protocols are considered to enhance the end-to-end performance under the joint impact of maximal interference constraint and transceiver hardware impairments. For performance evaluation and comparison, we derive the exact and asymptotic closed-form expressions of outage probability (OP) and throughput (TP) to provide significant insights into the impact of our proposed protocols on the system performance over Rayleigh fading channel. Finally, simulation results validate the theoretical results.<\/jats:p>","DOI":"10.3390\/s18061843","type":"journal-article","created":{"date-parts":[[2018,6,5]],"date-time":"2018-06-05T11:04:46Z","timestamp":1528196686000},"page":"1843","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":19,"title":["Performance Evaluation of Relay Selection Schemes in Beacon-Assisted Dual-Hop Cognitive Radio Wireless Sensor Networks under Impact of Hardware Noises"],"prefix":"10.3390","volume":"18","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6328-3103","authenticated-orcid":false,"given":"Tran Dinh","family":"Hieu","sequence":"first","affiliation":[{"name":"Department of Radio and Communication Engineering, Chungbuk National University, Cheongju City 362763, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3947-2174","authenticated-orcid":false,"given":"Tran Trung","family":"Duy","sequence":"additional","affiliation":[{"name":"Posts Department of Telecommunications, Posts and Telecommunications Institute of Technology, Ho Chi Minh City 70000, Vietnam"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7297-7705","authenticated-orcid":false,"given":"Le The","family":"Dung","sequence":"additional","affiliation":[{"name":"Department of Radio and Communication Engineering, Chungbuk National University, Cheongju City 362763, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Seong Gon","family":"Choi","sequence":"additional","affiliation":[{"name":"Department of Radio and Communication Engineering, Chungbuk National University, Cheongju City 362763, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2018,6,5]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Lin, H., Bai, D., Gao, D., and Liu, Y. (2016). Maximum data collection rate routing protocol based on topology control for rechargeable wireless sensor networks. Sensors, 16.","DOI":"10.3390\/s16081201"},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Wang, Z., Zeng, P., Zhou, M., Li, D., and Wang, J. (2017). Cluster-based maximum consensus time synchronization for industrial wireless sensor networks. Sensors, 17.","DOI":"10.3390\/s17010141"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"20","DOI":"10.1109\/MWC.2016.7553022","article-title":"Social-aware energy harvesting device-to-device communications in 5G networks","volume":"23","author":"Jiang","year":"2016","journal-title":"IEEE Wirel. Commun."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"5487","DOI":"10.1109\/TCOMM.2017.2734882","article-title":"Energy management for energy harvesting wireless sensors with adaptive retransmission","volume":"65","author":"Yadav","year":"2017","journal-title":"IEEE Trans. Commun."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"18","DOI":"10.1109\/MPRV.2005.9","article-title":"Energy scavenging for mobile and wireless electronics","volume":"4","author":"Paradiso","year":"2005","journal-title":"IEEE Pervasive Comput."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"108","DOI":"10.1109\/MCOM.2006.1632657","article-title":"Emerging techniques for long lived wireless sensor networks","volume":"44","author":"Raghunathan","year":"2006","journal-title":"IEEE Commun. Mag."},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Hieu, T.D., Dung, L.T., and Kim, B.S. (2016). Stability-aware geographic routing in energy harvesting wireless sensor networks. Sensors, 16.","DOI":"10.3390\/s16050696"},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Varshney, L.R. (2008, January 6\u201311). Transporting Information and Energy Simultaneously. Proceedings of the IEEE International Symposium on Information Theory (ISIT), Toronto, ON, Canada.","DOI":"10.1109\/ISIT.2008.4595260"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"1989","DOI":"10.1109\/TWC.2013.031813.120224","article-title":"MIMO broadcasting for simultaneous wireless information and power transfer","volume":"12","author":"Zhang","year":"2013","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"4754","DOI":"10.1109\/TCOMM.2013.13.120855","article-title":"Wireless information and power transfer: architecture design and rate-energy trade-off","volume":"61","author":"Zhou","year":"2013","journal-title":"IEEE Trans. Commun."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"3622","DOI":"10.1109\/TWC.2013.062413.122042","article-title":"Relaying protocols for wireless energy harvesting and information processing","volume":"12","author":"Nasir","year":"2013","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"3269","DOI":"10.1109\/TWC.2014.041714.131688","article-title":"Joint transmit beamforming and receive power splitting for MISO SWIPT systems","volume":"13","author":"Shi","year":"2014","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"900","DOI":"10.1109\/TCOMM.2014.020914.130825","article-title":"Simultaneous information and energy transfer in large scale networks with\/without relaying","volume":"62","author":"Krikidis","year":"2014","journal-title":"IEEE Trans. Commun."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"902","DOI":"10.1109\/TWC.2013.122313.130727","article-title":"Enabling wireless power transfer in cellular networks: Architecture, modeling and deployment","volume":"13","author":"Huang","year":"2014","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"840","DOI":"10.1109\/LCOMM.2017.2756053","article-title":"Throughput analysis of power-beacon assisted energy harvesting wireless systems over non-identical Nakagami-m fading channels","volume":"22","author":"Le","year":"2018","journal-title":"IEEE Commun. Lett."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"329","DOI":"10.1109\/TCOMM.2015.2498171","article-title":"Secure D2D communication in large-scale cognitive cellular networks: A wireless power transfer model","volume":"64","author":"Liu","year":"2016","journal-title":"IEEE Trans. Commun."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"5224","DOI":"10.1109\/ACCESS.2017.2681696","article-title":"Energy harvesting-based D2D communications in the presence of interference and ambient RF sources","volume":"5","author":"Doan","year":"2017","journal-title":"IEEE Access"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"86","DOI":"10.1109\/MCOM.2014.6815897","article-title":"Device-to-device communication in 5G cellular networks: Challenges, solutions, and future directions","volume":"52","author":"Tehrani","year":"2014","journal-title":"IEEE Commun. Mag."},{"key":"ref_19","unstructured":"Van, N.T., Duy, T.T., Hanh, T., and Bao, V.N.Q. (November, January 30). Outage Analysis of Energy-Harvesting Based Multihop Cognitive Relay Networks with Multiple Primary Receivers and Multiple Power Beacons. Proceedings of the International Symposium on Antennas and Propagation (ISAP), Phuket, Thailand."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"3068","DOI":"10.1109\/ACCESS.2017.2787055","article-title":"Performance analysis of wireless energy harvesting multihop cluster-based networks over Nakgami-m fading channels","volume":"6","author":"Van","year":"2018","journal-title":"IEEE Access"},{"key":"ref_21","unstructured":"Hieu, T.D., Duy, T.T., and Choi, S.G. (2018, January 11\u201314). Performance Enhancement for Harvest-to-Transmit Cognitive Multi-Hop Networks with Best Path Selection Method Under Presence of Eavesdropper. Proceedings of the IEEE 20th International Conference on Advanced Communication Technology (ICACT), Chuncheon-si, Gangwon-do, Korea."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"5173","DOI":"10.1109\/JSEN.2018.2829145","article-title":"Performance enhancement for multi-hop harvest-to-transmit WSNs with path-selection methods in presence of eavesdroppers and hardware noises","volume":"18","author":"Hieu","year":"2018","journal-title":"IEEE Sens. J."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1109\/98.788210","article-title":"Cognitive radio: Making software radios more personal","volume":"6","author":"Mitola","year":"1999","journal-title":"IEEE Pers. Commun."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"7578","DOI":"10.1109\/JSEN.2017.2758823","article-title":"Optimizing spectrum sensing time with adaptive sensing interval for energy-efficient CRSNs","volume":"17","author":"Kong","year":"2017","journal-title":"IEEE Sens. J."},{"key":"ref_25","doi-asserted-by":"crossref","unstructured":"Dung, L.T., Hieu, T.D., Choi, S.G., Kim, B.S., and An, B. (2017). Impact of beamforming on the path connectivity in cognitive radio ad-hoc networks. Sensors, 17.","DOI":"10.3390\/s17040690"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"11196","DOI":"10.3390\/s130911196","article-title":"Cognitive radio wireless sensor networks: Applications, challenges and research trends","volume":"13","author":"Joshi","year":"2013","journal-title":"Sensors"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"30","DOI":"10.1016\/j.comcom.2016.08.010","article-title":"Multi-channel and cognitive radio approaches for wireless sensor networks","volume":"94","author":"Wu","year":"2016","journal-title":"Comput. Commun."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"182","DOI":"10.1049\/el.2010.2159","article-title":"Outage performance of relay-assisted cognitive-radio system under spectrum sharing constraints","volume":"46","author":"Guo","year":"2010","journal-title":"Electron. Lett."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"390","DOI":"10.1109\/TWC.2010.120310.090852","article-title":"Outage probability of cognitive relay networks with interference constraints","volume":"10","author":"Lee","year":"2011","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"3062","DOI":"10.1109\/TIT.2004.838089","article-title":"Cooperative diversity in wireless networks: Efficient protocols and outage behavior","volume":"50","author":"Laneman","year":"2004","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"659","DOI":"10.1109\/JSAC.2005.862417","article-title":"A simple cooperative diversity method based on network path selection","volume":"24","author":"Bletsas","year":"2006","journal-title":"IEEE J. Sel. Areas Commun."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1109\/CC.2015.7385522","article-title":"Joint dynamic clustering and user scheduling for downlink cloud radio access network with limited feedback","volume":"12","author":"Dongyang","year":"2015","journal-title":"China Commun."},{"key":"ref_33","unstructured":"Dongyang, X., Du, Q., Ren, P., Sun, L., Zhao, W., and Hu, Z. (2015, January 8\u201312). AF-Based CSI Feedback for User Selection in Multi-User MIMO Systems. Proceedings of the IEEE Global Communication Conference (GLOBECOM), San Diego, CA, USA."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"1021","DOI":"10.1109\/TWC.2011.021611.100472","article-title":"Accurate outage analysis of incremental decode-and-forward opportunistic relaying","volume":"10","author":"Tourki","year":"2011","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1109\/LCOMM.2008.071987","article-title":"Amplify-and-forward with partial relay selection","volume":"12","author":"Krikidis","year":"2008","journal-title":"IEEE Commun. Lett."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"734","DOI":"10.1109\/LCOMM.2010.08.100530","article-title":"Diversity and coding gains of fixed-gain amplify-and-forward with partial relay selection in Nakagami-m fading","volume":"14","author":"Ding","year":"2010","journal-title":"IEEE Commun. Lett."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"2741","DOI":"10.1007\/s11277-012-0968-9","article-title":"Performance analysis of incremental amplify-and-forward relaying protocols with nth best partial relay selection under interference constraint","volume":"71","author":"Duy","year":"2013","journal-title":"Wirel. Pers. Commun."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"500","DOI":"10.1109\/TWC.2011.120911.102240","article-title":"Performance of amplify-and-forward systems with partial relay selection under spectrum-sharing constraints","volume":"11","author":"Fredj","year":"2012","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"820","DOI":"10.1109\/LCOMM.2016.2533500","article-title":"Cognitive relaying with transceiver hardware impairments under interference constraints","volume":"20","author":"Sharma","year":"2016","journal-title":"IEEE Commun. Lett."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"721","DOI":"10.1109\/TVT.2012.2222947","article-title":"Outage analysis for underlay cognitive networks using incremental regenerative relaying","volume":"62","author":"Tourki","year":"2013","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"4836","DOI":"10.1109\/TCOMM.2013.110413.120578","article-title":"Performance comparison between adaptive and fixed transmit power in underlay cognitive radio networks","volume":"61","author":"Hakim","year":"2013","journal-title":"IEEE Trans. Commun."},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"2039","DOI":"10.1109\/JSAC.2014.141108","article-title":"Opportunistic channel access and RF energy harvesting in cognitive radio networks","volume":"32","author":"Hoang","year":"2014","journal-title":"IEEE J. Sel. Areas Commun."},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"200","DOI":"10.1109\/TCCN.2015.2488620","article-title":"Performance analysis of wireless energy harvesting cognitive radio networks under smart jamming attacks","volume":"1","author":"Hoang","year":"2015","journal-title":"IEEE Trans. Cogn. Commun. Netw."},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"21447","DOI":"10.1109\/ACCESS.2016.2644758","article-title":"Wireless energy harvesting assisted two-way cognitive relay networks: Protocol design and performance analysis","volume":"5","author":"Nguyen","year":"2017","journal-title":"IEEE Access"},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"1148","DOI":"10.1109\/LCOMM.2016.2547985","article-title":"Outage performance of underlay multihop cognitive relay networks with energy harvesting","volume":"20","author":"Xu","year":"2016","journal-title":"IEEE Commun. Lett."},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"3561","DOI":"10.1109\/TWC.2017.2684125","article-title":"End-to-end throughput maximization for underlay multi-hop cognitive radio networks with RF energy harvesting","volume":"16","author":"Xu","year":"2017","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"1304","DOI":"10.1109\/TCOMM.2013.020813.120576","article-title":"OFDM AF relaying under I\/Q imbalance: Performance analysis and baseband compensation","volume":"61","author":"Mokhtar","year":"2013","journal-title":"IEEE Trans. Commun."},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"4512","DOI":"10.1109\/TCOMM.2013.100913.130282","article-title":"A new look at dual-hop relaying: Performance limits with hardware impairments","volume":"61","author":"Bjornson","year":"2013","journal-title":"IEEE Trans. Commun."},{"key":"ref_49","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_50","doi-asserted-by":"crossref","unstructured":"Peng, C., Li, F., and Liu, H. (2017). Wireless energy harvesting two-way relay networks with hardware impairments. Sensors, 17.","DOI":"10.3390\/s17112604"},{"key":"ref_51","doi-asserted-by":"crossref","first-page":"2833","DOI":"10.1109\/TVT.2015.2399246","article-title":"Energy efficiency and spectral efficiency trade-off for asymmetric two-way AF relaying with statistical CSI","volume":"65","author":"Zhang","year":"2016","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_52","first-page":"4519","article-title":"Joint rate and power allocation for NOMA with statistical CSI","volume":"65","author":"Choi","year":"2017","journal-title":"IEEE Trans. Commun."},{"key":"ref_53","unstructured":"Gradshten, I.S., and Ryzhik, I.M. (2007). Table of Integrals, Series and Products, Academic Press. [7th ed.]."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/18\/6\/1843\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T15:07:28Z","timestamp":1760195248000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/18\/6\/1843"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,6,5]]},"references-count":53,"journal-issue":{"issue":"6","published-online":{"date-parts":[[2018,6]]}},"alternative-id":["s18061843"],"URL":"https:\/\/doi.org\/10.3390\/s18061843","relation":{"has-preprint":[{"id-type":"doi","id":"10.20944\/preprints201805.0233.v1","asserted-by":"object"}]},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,6,5]]}}}