{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,8]],"date-time":"2025-09-08T06:07:36Z","timestamp":1757311656855,"version":"3.37.3"},"reference-count":29,"publisher":"Wiley","license":[{"start":{"date-parts":[[2020,6,24]],"date-time":"2020-06-24T00:00:00Z","timestamp":1592956800000},"content-version":"unspecified","delay-in-days":0,"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":["51874238","CX202038"],"award-info":[{"award-number":["51874238","CX202038"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002663","name":"Northwestern Polytechnical University","doi-asserted-by":"publisher","award":["51874238","CX202038"],"award-info":[{"award-number":["51874238","CX202038"]}],"id":[{"id":"10.13039\/501100002663","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Security and Communication Networks"],"published-print":{"date-parts":[[2020,6,24]]},"abstract":"<jats:p>In this paper, we research a synthesis scheme for secure wireless communication in the broadcasting multiusers directional modulation system, which consists of multiple legitimate users (LUs) receiving the same confidential messages and multiple eavesdroppers (Eves) intercepting the confidential messages. We propose a new type of array antennas, termed random frequency diverse arrays (RFDA), to enhance the security of confidential messages due to its angle-range dependent beam patterns. Based on RFDA, we put forward a synthesis scheme to achieve multiobjective secure wireless communication. First, with known locations of Eves, the beamforming vector is designed to minimize Eves\u2019 receiving power of confidential message (Min-ERP) while satisfying the power requirement of LUs. Furthermore, we research a more practical scenario, where locations of Eves are unknown. Unlike the scenario of known locations of Eves, the beamforming vector is designed to maximize the sum received power of LUs (Max-LRP) while satisfying a minimum received power constraint at each LU. Second, the artificial-noise projection matrix (ANPM) is calculated to reduce artificial-noise (AN) impact on LUs and enhance the interference on Eves. Numerical results verify the superior secure performance of the proposed schemes in the broadcasting multiusers system.<\/jats:p>","DOI":"10.1155\/2020\/4198595","type":"journal-article","created":{"date-parts":[[2020,6,24]],"date-time":"2020-06-24T23:31:13Z","timestamp":1593041473000},"page":"1-11","source":"Crossref","is-referenced-by-count":5,"title":["Secure Multiusers Directional Modulation Scheme Based on Random Frequency Diverse Arrays in Broadcasting Systems"],"prefix":"10.1155","volume":"2020","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6244-4155","authenticated-orcid":true,"given":"Jianbang","family":"Gao","sequence":"first","affiliation":[{"name":"School of Automation, Northwestern Polytechnical University, Xi\u2019an 710072, China"},{"name":"School of Electronic Engineering, Xi\u2019an Shiyou University, Xi\u2019an 710000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhaohui","family":"Yuan","sequence":"additional","affiliation":[{"name":"School of Automation, Northwestern Polytechnical University, Xi\u2019an 710072, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bin","family":"Qiu","sequence":"additional","affiliation":[{"name":"School of Electronics and Information, Northwestern Polytechnical University, Xi\u2019an 710072, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jing","family":"Zhou","sequence":"additional","affiliation":[{"name":"School of Electronic Engineering, Xi\u2019an Shiyou University, Xi\u2019an 710000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1109\/jiot.2019.2943900"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1109\/jsyst.2017.2713881"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1109\/jstsp.2016.2600521"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1007\/s11277-017-3949-1"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1109\/access.2019.2929549"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1109\/tvt.2019.2931751"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1109\/lawp.2018.2867085"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1109\/access.2017.2703647"},{"key":"9","first-page":"499","volume":"14","year":"2014","journal-title":"IEEE Antennas and Wireless Propagation Letters"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1049\/iet-map.2015.0658"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1109\/taes.2013.6404099"},{"issue":"2","key":"12","first-page":"295","volume":"11","year":"2016","journal-title":"IEEE Journal of Selected Topics in Signal Processing"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1109\/jsac.2018.2824231"},{"issue":"2","key":"14","first-page":"276","volume":"22","year":"2017","journal-title":"IEEE Communications Letters"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1109\/lcomm.2016.2550022"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1109\/access.2016.2614825"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1109\/access.2017.2653182"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1109\/tvt.2018.2799640"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1109\/tap.2013.2287001"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1109\/jsac.2018.2824622"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1109\/twc.2017.2665465"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1155\/2019\/5051490"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1109\/twc.2019.2934462"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.1109\/twc.2017.2768419"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1587\/transcom.2018ebp3314"},{"key":"27","doi-asserted-by":"publisher","DOI":"10.1109\/lwc.2019.2960493"},{"key":"28","doi-asserted-by":"publisher","DOI":"10.1109\/tifs.2019.2900942"},{"key":"29","doi-asserted-by":"publisher","DOI":"10.1155\/2018\/5815678"},{"year":"2012","key":"30"}],"container-title":["Security and Communication Networks"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/scn\/2020\/4198595.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/scn\/2020\/4198595.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/scn\/2020\/4198595.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,9,4]],"date-time":"2020-09-04T23:31:07Z","timestamp":1599262267000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/scn\/2020\/4198595\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,6,24]]},"references-count":29,"alternative-id":["4198595","4198595"],"URL":"https:\/\/doi.org\/10.1155\/2020\/4198595","relation":{},"ISSN":["1939-0114","1939-0122"],"issn-type":[{"type":"print","value":"1939-0114"},{"type":"electronic","value":"1939-0122"}],"subject":[],"published":{"date-parts":[[2020,6,24]]}}}