{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:16:56Z","timestamp":1753881416631,"version":"3.41.2"},"reference-count":40,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2018,8,13]],"date-time":"2018-08-13T00:00:00Z","timestamp":1534118400000},"content-version":"vor","delay-in-days":224,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61571402","61771431"],"award-info":[{"award-number":["61571402","61771431"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Wireless Communications and Mobile Computing"],"published-print":{"date-parts":[[2018,1]]},"abstract":"<jats:p>We investigate multiple\u2010input single\u2010output secured cognitive radio networks relying on simultaneous wireless information and power transfer (SWIPT), where a multiantenna secondary transmitter sends confidential information to multiple single\u2010antenna secondary users (SUs) in the presence of multiple single\u2010antenna primary users (PUs) and multiple energy\u2010harvesting receivers (ERs). In order to improve the security of secondary networks, we use the artificial noise (AN) to mask the transmit beamforming. Optimization design of AN\u2010aided transmit beamforming is studied, where the transmit power of the information signal is minimized subject to the secrecy rate constraint, the harvested energy constraint, and the total transmit power. Based on a successive convex approximation (SCA) method, we propose an iterative algorithm which reformulates the original problem as a convex problem under the perfect channel state information (CSI) case. Also, we give the convergence of the SCA\u2010based iterative algorithm. In addition, we extend the original problem to the imperfect CSI case with deterministic channel uncertainties. Then, we study the robust design problem for the case with norm\u2010bounded channel errors. Also, a robust SCA\u2010based iterative algorithm is proposed by adopting the \u2010Procedure. Simulation results are presented to validate the performance of the proposed algorithms.<\/jats:p>","DOI":"10.1155\/2018\/6956313","type":"journal-article","created":{"date-parts":[[2018,8,13]],"date-time":"2018-08-13T23:33:52Z","timestamp":1534203232000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["AN\u2010Aided Transmit Beamforming Design for Secured Cognitive Radio Networks with SWIPT"],"prefix":"10.1155","volume":"2018","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5740-0118","authenticated-orcid":false,"given":"Weili","family":"Ge","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6562-8243","authenticated-orcid":false,"given":"Zhengyu","family":"Zhu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9217-6200","authenticated-orcid":false,"given":"Zhongyong","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhengdao","family":"Yuan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2018,8,13]]},"reference":[{"key":"e_1_2_10_1_2","doi-asserted-by":"publisher","DOI":"10.1109\/COMST.2016.2594120"},{"key":"e_1_2_10_2_2","doi-asserted-by":"publisher","DOI":"10.1109\/MCOM.2018.1700912"},{"key":"e_1_2_10_3_2","doi-asserted-by":"publisher","DOI":"10.1109\/MWC.2018.1700074"},{"key":"e_1_2_10_4_2","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2016.2569118"},{"key":"e_1_2_10_5_2","doi-asserted-by":"publisher","DOI":"10.1109\/TWC.2017.2777488"},{"key":"e_1_2_10_6_2","doi-asserted-by":"publisher","DOI":"10.1109\/JSAC.2004.839380"},{"key":"e_1_2_10_7_2","doi-asserted-by":"publisher","DOI":"10.1109\/access.2015.2461602"},{"key":"e_1_2_10_8_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCOMM.2017.2697954"},{"key":"e_1_2_10_9_2","doi-asserted-by":"publisher","DOI":"10.1109\/tvt.2015.2511783"},{"key":"e_1_2_10_10_2","doi-asserted-by":"publisher","DOI":"10.1109\/TWC.2013.031813.120224"},{"key":"e_1_2_10_11_2","doi-asserted-by":"publisher","DOI":"10.1109\/TWC.2016.2605102"},{"key":"e_1_2_10_12_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCOMM.2016.2646684"},{"key":"e_1_2_10_13_2","doi-asserted-by":"publisher","DOI":"10.1109\/LCOMM.2017.2660480"},{"key":"e_1_2_10_14_2","doi-asserted-by":"publisher","DOI":"10.1109\/LCOMM.2015.2498151"},{"key":"e_1_2_10_15_2","doi-asserted-by":"publisher","DOI":"10.1109\/JSYST.2018.2793903"},{"key":"e_1_2_10_16_2","doi-asserted-by":"publisher","DOI":"10.1109\/TWC.2015.2432753"},{"key":"e_1_2_10_17_2","doi-asserted-by":"publisher","DOI":"10.1109\/TWC.2017.2786255"},{"key":"e_1_2_10_18_2","doi-asserted-by":"publisher","DOI":"10.1109\/LWC.2017.2757468"},{"key":"e_1_2_10_19_2","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2017.2737034"},{"key":"e_1_2_10_20_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCCN.2017.2779478"},{"key":"e_1_2_10_21_2","doi-asserted-by":"publisher","DOI":"10.1109\/TVT.2017.2734966"},{"key":"e_1_2_10_22_2","doi-asserted-by":"crossref","unstructured":"BenkhelifaF.andAlouiniM.-S. 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