{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,6]],"date-time":"2026-03-06T20:34:23Z","timestamp":1772829263373,"version":"3.50.1"},"reference-count":47,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2022,9,7]],"date-time":"2022-09-07T00:00:00Z","timestamp":1662508800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2022,9,7]],"date-time":"2022-09-07T00:00:00Z","timestamp":1662508800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Wireless Netw"],"published-print":{"date-parts":[[2023,1]]},"DOI":"10.1007\/s11276-022-03119-1","type":"journal-article","created":{"date-parts":[[2022,9,7]],"date-time":"2022-09-07T17:08:09Z","timestamp":1662570489000},"page":"221-234","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["Joint effects of non-linear energy harvesting, primary interference, and full-duplex destination-assisted jamming on spectrum sharing networks"],"prefix":"10.1007","volume":"29","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7044-4131","authenticated-orcid":false,"given":"Khuong","family":"Ho-Van","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Thiem","family":"Do-Dac","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2022,9,7]]},"reference":[{"issue":"4","key":"3119_CR1","doi-asserted-by":"publisher","first-page":"1244","DOI":"10.1109\/TCCN.2021.3074178","volume":"7","author":"DH Tashman","year":"2021","unstructured":"Tashman, D. H., & Hamouda, W. (2021). Physical-layer security on maximal ratio combining for SIMO cognitive radio networks over cascaded $$\\kappa -\\mu $$ fading channels. IEEE Transactions on Cognitive Communications and Networking, 7(4), 1244\u20131252.","journal-title":"IEEE Transactions on Cognitive Communications and Networking"},{"key":"3119_CR2","doi-asserted-by":"publisher","first-page":"62616","DOI":"10.1109\/ACCESS.2021.3074507","volume":"9","author":"S Yadav","year":"2021","unstructured":"Yadav, S., & Gurjar, D. S. (2021). Secrecy performance of SIMO underlay cognitive radio networks over $$\\alpha -\\mu $$ fading channels. IEEE Access, 9, 62616\u201362629.","journal-title":"IEEE Access"},{"issue":"11","key":"3119_CR3","doi-asserted-by":"publisher","first-page":"12232","DOI":"10.1109\/TVT.2021.3118329","volume":"70","author":"K Ho-Van","year":"2021","unstructured":"Ho-Van, K., Sofotasios, P. C., Muhaidat, S., Cotton, S. L., Yoo, S. K., Brychkov, Y. A., Dobre, O. A., & Valkama, M. (2021). Security improvement for energy harvesting based overlay cognitive networks with jamming-assisted full-duplex destinations. IEEE Transactions on Vehicular Technology, 70(11), 12232\u201312237.","journal-title":"IEEE Transactions on Vehicular Technology"},{"key":"3119_CR4","doi-asserted-by":"publisher","first-page":"201566","DOI":"10.1109\/ACCESS.2020.3035005","volume":"8","author":"SAA Kazmi","year":"2020","unstructured":"Kazmi, S. A. A., & Coleri, S. (2020). Optimization of full-duplex relaying system with non-Linear energy harvester. IEEE Access, 8, 201566\u2013201576.","journal-title":"IEEE Access"},{"issue":"7","key":"3119_CR5","doi-asserted-by":"publisher","first-page":"7404","DOI":"10.1109\/TVT.2020.2989297","volume":"69","author":"B Ji","year":"2020","unstructured":"Ji, B., Li, Y., Cao, D., Li, C., Mumtaz, S., & Wang, D. (2020). Secrecy performance analysis of UAV assisted relay transmission for cognitive network With energy harvesting. IEEE Transactions on Vehicular Technology, 69(7), 7404\u20137415.","journal-title":"IEEE Transactions on Vehicular Technology"},{"issue":"19","key":"3119_CR6","first-page":"14908","volume":"8","author":"Y Xu","year":"2021","unstructured":"Xu, Y., Xie, H., Liang, C., & Yu, F. R. (2021). Robust secure energy efficiency optimization in SWIPT-aided heterogeneous networks with a non-linear energy harvesting model. IEEE IoT Journal, 8(19), 14908\u201314919.","journal-title":"IEEE IoT Journal"},{"issue":"5","key":"3119_CR7","doi-asserted-by":"publisher","first-page":"2493","DOI":"10.1109\/TWC.2019.2904273","volume":"18","author":"S Gautam","year":"2019","unstructured":"Gautam, S., Lagunas, E., Chatzinotas, S., & Ottersten, B. (2019). Relay selection and resource allocation for SWIPT in multi-user OFDMA systems. IEEE Transactions on Wireless Communications, 18(5), 2493\u20132508.","journal-title":"IEEE Transactions on Wireless Communications"},{"key":"3119_CR8","doi-asserted-by":"crossref","unstructured":"Xu, X., \u00d6z\u00e7elikkale, A., McKelvey, T., & Viberg, M. (2017). Simultaneous information and power transfer under a non-linear RF energy harvesting model. In Proc. (pp. 179\u2013184). IEEE ICC.","DOI":"10.1109\/ICCW.2017.7962654"},{"issue":"4","key":"3119_CR9","doi-asserted-by":"publisher","first-page":"847","DOI":"10.1109\/TSP.2017.2775593","volume":"66","author":"B Clerckx","year":"2018","unstructured":"Clerckx, B. (2018). Wireless information and power transfer: nonlinearity, waveform design, and rate-energy tradeoff. IEEE Transactions on Signal Processing, 66(4), 847\u2013862.","journal-title":"IEEE Transactions on Signal Processing"},{"issue":"2","key":"3119_CR10","doi-asserted-by":"publisher","first-page":"448","DOI":"10.1109\/TGCN.2020.2990882","volume":"4","author":"M Babaei","year":"2020","unstructured":"Babaei, M., Ayg\u00f6l\u00fc, \u00dc., Basaran, M., & Durak-Ata, L. (2020). BER performance of full-duplex cognitive radio network With nonlinear energy harvesting. IEEE Transactions on Green Communications and Networking, 4(2), 448\u2013460.","journal-title":"IEEE Transactions on Green Communications and Networking"},{"issue":"8","key":"3119_CR11","doi-asserted-by":"publisher","first-page":"9146","DOI":"10.1109\/TVT.2020.2998180","volume":"69","author":"P Raut","year":"2020","unstructured":"Raut, P., Sharma, P. K., Tsiftsis, T. A., & Zou, Y. (2020). Power-time splitting-based non-linear energy harvesting in FD short-packet communications. IEEE Transactions on Vehicular Technology, 69(8), 9146\u20139151.","journal-title":"IEEE Transactions on Vehicular Technology"},{"issue":"2","key":"3119_CR12","doi-asserted-by":"publisher","first-page":"287","DOI":"10.1109\/LCOMM.2019.2955951","volume":"24","author":"Y Liu","year":"2020","unstructured":"Liu, Y., Ye, Y., Ding, H., Gao, F., & Yang, H. (2020). Outage performance analysis for SWIPT-based incremental cooperative NOMA networks with non-linear harvester. IEEE Communications Letters, 24(2), 287\u2013291.","journal-title":"IEEE Communications Letters"},{"key":"3119_CR13","doi-asserted-by":"publisher","first-page":"26617","DOI":"10.1109\/ACCESS.2018.2834225","volume":"6","author":"G Lu","year":"2018","unstructured":"Lu, G., Shi, L., & Ye, Y. (2018). Maximum throughput of TS\/PS scheme in an AF relaying network with non-linear energy harvester. IEEE Access, 6, 26617\u201326625.","journal-title":"IEEE Access"},{"key":"3119_CR14","doi-asserted-by":"publisher","first-page":"59432","DOI":"10.1109\/ACCESS.2021.3073488","volume":"9","author":"JJ Sadique","year":"2021","unstructured":"Sadique, J. J., Ullah, S. E., Islam, M. R., Raad, R., Kouzani, A. Z., & Mahmud, M. P. (2021). Transceiver design for full-duplex UAV based zero-padded OFDM system with physical layer security. IEEE Access, 9, 59432\u201359445.","journal-title":"IEEE Access"},{"key":"3119_CR15","doi-asserted-by":"publisher","first-page":"9713","DOI":"10.1007\/s13369-021-05492-z","volume":"46","author":"K Ho-Van","year":"2021","unstructured":"Ho-Van, K., & Do-Dac, T. (2021). Overlay networks with jamming and energy harvesting: security analysis. Arabian Journal for Science and Engineering, 46, 9713\u20139724.","journal-title":"Arabian Journal for Science and Engineering"},{"issue":"1","key":"3119_CR16","doi-asserted-by":"publisher","first-page":"1206","DOI":"10.1109\/JSYST.2021.3062455","volume":"16","author":"H Yang","year":"2022","unstructured":"Yang, H., Xia, X., Li, J., Zhu, P., & You, X. (2022). Joint transceiver design for network-assisted full-duplex systems with SWIPT. IEEE Systems Journal, 16(1), 1206\u20131216.","journal-title":"IEEE Systems Journal"},{"issue":"1","key":"3119_CR17","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1109\/TNSE.2020.3040531","volume":"9","author":"A Thakur","year":"2022","unstructured":"Thakur, A., Kumar, A., Gupta, N., & Chatterjee, P. (2022). Secrecy analysis of reconfigurable underlay cognitive radio networks with SWIPT and imperfect CSI. IEEE Transactions on Network Science and Engineering, 9(1), 89\u201397.","journal-title":"IEEE Transactions on Network Science and Engineering"},{"issue":"3","key":"3119_CR18","doi-asserted-by":"publisher","first-page":"2084","DOI":"10.1109\/TVT.2017.2725989","volume":"67","author":"P Yan","year":"2018","unstructured":"Yan, P., Zou, Y., & Zhu, J. (2018). Energy-aware multiuser scheduling for physical-layer security in energy-harvesting underlay cognitive radio systems. IEEE Transactions on Vehicular Technology, 67(3), 2084\u20132096.","journal-title":"IEEE Transactions on Vehicular Technology"},{"key":"3119_CR19","doi-asserted-by":"publisher","first-page":"139172","DOI":"10.1109\/ACCESS.2019.2940698","volume":"7","author":"X Wang","year":"2019","unstructured":"Wang, X., Na, Z., Lam, K. Y., Liu, X., Gao, Z., Li, F., & Wang, L. (2019). Energy efficiency optimization for NOMA-based cognitive radio with energy harvesting. IEEE Access, 7, 139172\u2013139180.","journal-title":"IEEE Access"},{"issue":"2","key":"3119_CR20","first-page":"1154","volume":"7","author":"L Ge","year":"2020","unstructured":"Ge, L., Chen, G., Zhang, Y., Tang, J., Wang, J., & Chambers, J. A. (2020). Performance analysis for multihop cognitive radio networks with energy harvesting by using stochastic geometry. IEEE IoT Journal, 7(2), 1154\u20131163.","journal-title":"IEEE IoT Journal"},{"key":"3119_CR21","doi-asserted-by":"publisher","first-page":"173329","DOI":"10.1109\/ACCESS.2019.2955205","volume":"7","author":"M Bouabdellah","year":"2019","unstructured":"Bouabdellah, M., El Bouanani, F., Sofotasios, P. C., Muhaidat, S., Da Costa, D. B., Mezher, K., Ben-Azza, H., & Karagiannidis, G. K. (2019). Cooperative energy harvesting cognitive radio networks with spectrum sharing and security constraints. IEEE Access, 7, 173329\u2013173343.","journal-title":"IEEE Access"},{"issue":"2","key":"3119_CR22","doi-asserted-by":"publisher","first-page":"683","DOI":"10.1109\/TCCN.2019.2952885","volume":"6","author":"D Wang","year":"2020","unstructured":"Wang, D., Zhou, F., & Leung, V. C. (2020). Primary privacy preserving with joint wireless power and information transfer for cognitive radio networks. IEEE Transactions on Cognitive Communications and Networking, 6(2), 683\u2013693.","journal-title":"IEEE Transactions on Cognitive Communications and Networking"},{"key":"3119_CR23","doi-asserted-by":"publisher","first-page":"24819","DOI":"10.1109\/ACCESS.2019.2897357","volume":"7","author":"H Shi","year":"2019","unstructured":"Shi, H., Cai, Y., Chen, D., Hu, J., Yang, W., & Yang, W. (2019). Physical layer security in an untrusted energy harvesting relay network. IEEE Access, 7, 24819\u201324828.","journal-title":"IEEE Access"},{"issue":"2","key":"3119_CR24","doi-asserted-by":"publisher","first-page":"829","DOI":"10.1007\/s11277-019-06758-4","volume":"110","author":"K Ho-Van","year":"2020","unstructured":"Ho-Van, K., & Do-Dac, T. (2020). Security performance of underlay cognitive relaying networks with energy harvesting. Wireless Personal Communications, 110(2), 829\u2013846.","journal-title":"Wireless Personal Communications"},{"key":"3119_CR25","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1155\/2020\/8867148","volume":"2020","author":"K Ho-Van","year":"2020","unstructured":"Ho-Van, K., & Do-Dac, T. (2020). Security enhancement for energy harvesting cognitive networks with relay selection. Wireless Communications and Mobile Computing, 2020, 1\u201313.","journal-title":"Wireless Communications and Mobile Computing"},{"key":"3119_CR26","doi-asserted-by":"publisher","first-page":"74401","DOI":"10.1109\/ACCESS.2019.2920710","volume":"7","author":"W Zhao","year":"2019","unstructured":"Zhao, W., She, R., & Bao, H. (2019). Security energy efficiency maximization for two-way relay assisted cognitive radio NOMA network with self-interference harvesting. IEEE Access, 7, 74401\u201374411.","journal-title":"IEEE Access"},{"key":"3119_CR27","doi-asserted-by":"crossref","unstructured":"Su, R., Wang, Y., & Sun, R. (2019). Secure cooperative transmission in cognitive AF relay systems with destination-aided jamming and energy harvesting. In Proc. (pp. 1\u20135). IEEE PIMRC.","DOI":"10.1109\/PIMRC.2019.8904314"},{"key":"3119_CR28","doi-asserted-by":"crossref","unstructured":"Xu, M., Jing, T., Fan, X., Wen, Y., & Huo, Y. (2018). Secure transmission solutions in energy harvesting enabled cooperative cognitive radio networks. In Proc. (pp. 1\u20136). IEEE WCNC.","DOI":"10.1109\/WCNC.2018.8377071"},{"key":"3119_CR29","doi-asserted-by":"crossref","unstructured":"Su, R., Wang, Y., & Sun, R. (2018). Destination-assisted jamming for physical-layer security in SWIPT cognitive radio systems. In Proc. (pp. 1\u20136). IEEE WCNC.","DOI":"10.1109\/WCNC.2018.8377306"},{"issue":"2","key":"3119_CR30","doi-asserted-by":"publisher","first-page":"1259","DOI":"10.1109\/TCOMM.2020.3034359","volume":"69","author":"N Shanin","year":"2021","unstructured":"Shanin, N., Cottatellucci, L., & Schober, R. (2021). Markov decision process based design of SWIPT systems: Non-linear EH circuits, memory, and impedance mismatch. IEEE Transactions on Communications, 69(2), 1259\u20131274.","journal-title":"IEEE Transactions on Communications"},{"key":"3119_CR31","doi-asserted-by":"publisher","first-page":"192270","DOI":"10.1109\/ACCESS.2020.3032661","volume":"8","author":"S Bayat","year":"2020","unstructured":"Bayat, S., Khalili, A., & Han, Z. (2020). Resource allocation for MC MISO-NOMA SWIPT-enabled HetNets with non-linear energy harvesting. IEEE Access, 8, 192270\u2013192281.","journal-title":"IEEE Access"},{"key":"3119_CR32","first-page":"1403","volume":"1","author":"D Wang","year":"2020","unstructured":"Wang, D., et al. (2020). Performance analysis and resource allocations for a WPCN With a new nonlinear energy harvester model. IEEE OJ-CS, 1, 1403\u20131424.","journal-title":"IEEE OJ-CS"},{"issue":"1","key":"3119_CR33","doi-asserted-by":"publisher","first-page":"53","DOI":"10.1109\/LWC.2020.3020324","volume":"10","author":"G Ma","year":"2021","unstructured":"Ma, G., Xu, J., Liu, Y. F., & Moghadam, M. R. V. (2021). Time-division energy beamforming for multiuser wireless power transfer with non-linear energy harvesting. IEEE Wireless Communications Letters, 10(1), 53\u201357.","journal-title":"IEEE Wireless Communications Letters"},{"issue":"3","key":"3119_CR34","first-page":"1702","volume":"8","author":"Z Zhu","year":"2021","unstructured":"Zhu, Z., Wang, N., Hao, W., Wang, Z., & Lee, I. (2021). Robust beamforming designs in secure MIMO SWIPT IoT networks with a non-linear channel model. IEEE IoT Journal, 8(3), 1702\u20131715.","journal-title":"IEEE IoT Journal"},{"issue":"11","key":"3119_CR35","doi-asserted-by":"publisher","first-page":"13952","DOI":"10.1109\/TVT.2020.3021085","volume":"69","author":"K Agrawal","year":"2020","unstructured":"Agrawal, K., Flanagan, M. F., & Prakriya, S. (2020). NOMA with battery-assisted energy harvesting full-duplex relay. IEEE Transactions on Vehicular Technology, 69(11), 13952\u201313957.","journal-title":"IEEE Transactions on Vehicular Technology"},{"key":"3119_CR36","doi-asserted-by":"crossref","unstructured":"Shi, L., Cheng, W., Ye, Y., Zhang, H., & Hu, R. Q. (2018). Heterogeneous power-splitting based two-way DF relaying with non-linear energy harvesting. In Proc. (pp. 1\u20137). IEEE GLOBECOM.","DOI":"10.1109\/GLOCOM.2018.8647768"},{"issue":"8","key":"3119_CR37","doi-asserted-by":"publisher","first-page":"6253","DOI":"10.1007\/s11276-020-02436-7","volume":"26","author":"DT Do","year":"2020","unstructured":"Do, D. T., Le, C. B., & Le, A. T. (2020). Joint of full-duplex relay, non-linear energy harvesting and multiple access in performance improvement of cell-edge user in heterogeneous networks. Wireless Networks, 26(8), 6253\u20136266.","journal-title":"Wireless Networks"},{"key":"3119_CR38","doi-asserted-by":"publisher","first-page":"62707","DOI":"10.1109\/ACCESS.2018.2876970","volume":"6","author":"D Wang","year":"2018","unstructured":"Wang, D., & Men, S. (2018). Secure energy efficiency for NOMA based cognitive radio networks with nonlinear energy harvesting. IEEE Access, 6, 62707\u201362716.","journal-title":"IEEE Access"},{"issue":"3","key":"3119_CR39","doi-asserted-by":"publisher","first-page":"363","DOI":"10.1109\/LWC.2019.2955121","volume":"9","author":"L Ni","year":"2020","unstructured":"Ni, L., Da, X., Hu, H., Zhang, M., & Cumanan, K. (2020). Outage constrained robust secrecy energy efficiency maximization for EH cognitive radio networks. IEEE Wireless Communications Letters, 9(3), 363\u2013366.","journal-title":"IEEE Wireless Communications Letters"},{"key":"3119_CR40","first-page":"1820","volume":"1","author":"S Solanki","year":"2020","unstructured":"Solanki, S., Upadhyay, P. K., Da Costa, D. B., Ding, H., & Moualeu, J. M. (2020). Performance analysis of piece-wise linear model of energy harvesting-based multiuser overlay spectrum sharing networks. IEEE OJ-CS, 1, 1820\u20131836.","journal-title":"IEEE OJ-CS"},{"issue":"10","key":"3119_CR41","doi-asserted-by":"publisher","first-page":"10925","DOI":"10.1109\/TVT.2020.3000995","volume":"69","author":"A Hakimi","year":"2020","unstructured":"Hakimi, A., Mohammadi, M., Mobini, Z., & Ding, Z. (2020). Full-duplex non-orthogonal multiple access cooperative spectrum-sharing networks with non-linear energy harvesting. IEEE Transactions on Vehicular Technology, 69(10), 10925\u201310936.","journal-title":"IEEE Transactions on Vehicular Technology"},{"key":"3119_CR42","doi-asserted-by":"crossref","unstructured":"Wang, F., & Zhang, X. (2020). Secure resource allocation for polarization-based non-linear energy harvesting over 5G cooperative CRNs. IEEE Wireless Communications Letters (accepted). https:\/\/ieeexplore.ieee.org\/document\/9212400\/.","DOI":"10.1109\/LWC.2020.3028585"},{"key":"3119_CR43","doi-asserted-by":"crossref","unstructured":"Maji, P., Roy, S. D., & Kundu, S. (2019). Physical layer security with non-linear energy harvesting relay. In Proc. (pp. 1\u20136). IEEE ICCCNT.","DOI":"10.1109\/ICCCNT45670.2019.8944825"},{"key":"3119_CR44","doi-asserted-by":"crossref","unstructured":"Bharadia, D., McMilin, E., & Katti, S. (2013). Full duplex radios. In Proc. ACM SIGCOMM, HongKong (pp. 375\u2013386).","DOI":"10.1145\/2534169.2486033"},{"key":"3119_CR45","doi-asserted-by":"publisher","first-page":"68359","DOI":"10.1109\/ACCESS.2019.2918617","volume":"7","author":"M Li","year":"2019","unstructured":"Li, M., Huang, Y., Yin, H., Wang, Y., & Cai, C. (2019). Improving the security and spectrum efficiency in overlay cognitive full-duplex wireless networks. IEEE Access, 7, 68359\u201368372.","journal-title":"IEEE Access"},{"key":"3119_CR46","unstructured":"Gradshteyn, I. S., & Ryzhik, I. M. (2000). Table of integrals, series and products (6th ed.). Academic Press."},{"key":"3119_CR47","unstructured":"Abramowitz, M., & Stegun, I. A. (1972). Handbook of mathematical functions with formulas, graphs, and mathematical tables (10th ed.). U.S. Government Printing Office."}],"container-title":["Wireless Networks"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11276-022-03119-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11276-022-03119-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11276-022-03119-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,1,6]],"date-time":"2023-01-06T17:14:21Z","timestamp":1673025261000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11276-022-03119-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,9,7]]},"references-count":47,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2023,1]]}},"alternative-id":["3119"],"URL":"https:\/\/doi.org\/10.1007\/s11276-022-03119-1","relation":{},"ISSN":["1022-0038","1572-8196"],"issn-type":[{"value":"1022-0038","type":"print"},{"value":"1572-8196","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,9,7]]},"assertion":[{"value":"20 August 2022","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"7 September 2022","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}