{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T03:01:29Z","timestamp":1760151689936,"version":"build-2065373602"},"reference-count":20,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T00:00:00Z","timestamp":1648684800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Foundation of stability support plan for National Key Lab","award":["IFN2020104"],"award-info":[{"award-number":["IFN2020104"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Recently, a frequency diverse array (FDA) has been employed in an orthogonal frequency division multiplexing (OFDM) transmitter to achieve secure wireless communication without mathematical encryption. However, an insecure coupling effect arises if the frequency increments are linearly assigned to all antenna elements. To solve this problem, random subcarrier-selection methods are proposed; however, the challenge lies in the random selection of subcarriers. Inspired by the randomness of index modulation (IM), this paper proposes a low complexity random subcarrier-selection method based on index modulation (RSCS-IM). Specifically, this work conducted analysis on the spectral efficiency (SE) of our system and the computational complexity of RSCS-IM, which works out a closed-form expression of the BER performance of a desired position and validates the theoretical outcomes through simulation.<\/jats:p>","DOI":"10.3390\/s22072676","type":"journal-article","created":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T21:34:29Z","timestamp":1648762469000},"page":"2676","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["A Random Subcarrier-Selection Method Based on Index Modulation for Secure Transmission"],"prefix":"10.3390","volume":"22","author":[{"given":"Tao","family":"Zhan","sequence":"first","affiliation":[{"name":"National Key Laboratory of Science and Technology on Communications, University of Electronic Science and Technology of China (UESTC), Chengdu 611731, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jiangong","family":"Chen","sequence":"additional","affiliation":[{"name":"National Key Laboratory of Science and Technology on Communications, University of Electronic Science and Technology of China (UESTC), Chengdu 611731, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shan","family":"Luan","sequence":"additional","affiliation":[{"name":"China Academy of Space Technology (CAST), Beijing 100192, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xia","family":"Lei","sequence":"additional","affiliation":[{"name":"National Key Laboratory of Science and Technology on Communications, University of Electronic Science and Technology of China (UESTC), Chengdu 611731, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,3,31]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"20","DOI":"10.1109\/MCOM.2015.7081071","article-title":"Safeguarding 5G wireless communication networks using physical layer security","volume":"53","author":"Yang","year":"2015","journal-title":"IEEE Commun. Mag."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"162","DOI":"10.1109\/MCOM.2016.7537191","article-title":"Physical layer security issues in interference-alignment-based wireless networks","volume":"54","author":"Zhao","year":"2016","journal-title":"IEEE Commun. Mag."},{"key":"ref_3","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_4","doi-asserted-by":"crossref","first-page":"1465","DOI":"10.1109\/JSAC.2018.2824583","article-title":"Blind Authentication at the Physical Layer Under Time-Varying Fading Channels","volume":"36","author":"Xie","year":"2018","journal-title":"IEEE J. Sel. Areas Commun."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1478","DOI":"10.1109\/JSTSP.2016.2600521","article-title":"Directional Modulation via Symbol-Level Precoding: A Way to Enhance Security","volume":"10","author":"Kalantari","year":"2016","journal-title":"IEEE J. Sel. Top. Signal Process"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"2640","DOI":"10.1109\/TAP.2009.2027047","article-title":"Directional Modulation Technique for Phased Arrays","volume":"57","author":"Daly","year":"2009","journal-title":"IEEE Trans. Antennas Propag."},{"key":"ref_7","unstructured":"Antonik, P., Wicks, M.C., Griffiths, H.D., and Baker, C.J. (2006, January 24\u201327). Frequency diverse array radars. Proceedings of the 2006 IEEE Conference on Radar, Verona, NY, USA."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"499","DOI":"10.1109\/LAWP.2014.2368977","article-title":"Frequency Diverse Array Radar with Logarithmically Increasing Frequency Offset","volume":"14","author":"Khan","year":"2015","journal-title":"IEEE Antennas Wirel. Propag. Lett."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"1479","DOI":"10.1109\/LAWP.2015.2513758","article-title":"Flat-Top Beampattern Synthesis in Range and Angle Domains for Frequency Diverse Array via Second-Order Cone Programming","volume":"15","author":"Xu","year":"2016","journal-title":"IEEE Antennas Wirel. Propag. Lett."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"469","DOI":"10.1109\/LAWP.2016.2584078","article-title":"Frequency Diverse Array Transmit Beampattern Optimization with Genetic Algorithm","volume":"16","author":"Xiong","year":"2017","journal-title":"IEEE Antennas Wirel. Propag. Lett."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"5344","DOI":"10.1109\/TAP.2020.2977717","article-title":"Enhanced Transmit\u2014Receive Beamforming for Frequency Diverse Array","volume":"68","author":"Xu","year":"2020","journal-title":"IEEE Trans. Antennas Propag."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"892","DOI":"10.1109\/TAP.2020.3027576","article-title":"Transmit Beampattern Synthesis for Frequency Diverse Array with Particle Swarm Frequency Offset Optimization","volume":"69","author":"Liao","year":"2021","journal-title":"IEEE Trans. Antennas Propag."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"5709","DOI":"10.1109\/JSEN.2016.2573379","article-title":"Transmit Beamspace Design for Multi-Carrier Frequency Diverse Array Sensor","volume":"16","author":"Gao","year":"2016","journal-title":"IEEE Sens. J."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"1374","DOI":"10.1049\/el.2015.1491","article-title":"Frequency diverse array OFDM transmitter for secure communication","volume":"51","author":"Ding","year":"2015","journal-title":"Electron. Lett."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1109\/JSTSP.2016.2627183","article-title":"The random frequency diverse array: A new antenna structure for uncoupled direction-range indication in active sensing","volume":"11","author":"Liu","year":"2017","journal-title":"IEEE J. Sel. Top. Signal Process"},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Gao, J., Qiu, B., and Zhou, J. (2020). Spatial Modulation and MP-WFRFT-Aided Multi-Beam Wireless Communication Scheme Based on Random Frequency Diverse Array. Sensors, 20.","DOI":"10.3390\/s20185289"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"890","DOI":"10.1109\/JSAC.2018.2824231","article-title":"Secure and precise wireless transmission for random-subcarrier-selection based directional modulation transmit antenna array","volume":"36","author":"Shu","year":"2018","journal-title":"IEEE J. Sel. Areas Commun."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"9018","DOI":"10.1109\/TVT.2019.2931751","article-title":"Two practical random-subcarrier-selection methods for secure precise wireless transmissions","volume":"68","author":"Shen","year":"2019","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Basar, E., Aygolu, U., Panayirci, E., and Poor, H.V. (2012, January 3\u20137). Orthogonal frequency division multiplexing with index modulation. Proceedings of the IEEE GLOBECOM, Anaheim, CA, USA.","DOI":"10.1109\/GLOCOM.2012.6503868"},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Crawford, J., and Ko, Y. (September, January 30). Low complexity greedy detection method with generalized multicarrier index keying ofdm. Proceedings of the 2015 IEEE 26th Annual International Symposium on Personal Indoor and Mobile Radio Communications (PIMRC), Hong Kong, China.","DOI":"10.1109\/PIMRC.2015.7343386"}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/22\/7\/2676\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T22:47:07Z","timestamp":1760136427000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/22\/7\/2676"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,3,31]]},"references-count":20,"journal-issue":{"issue":"7","published-online":{"date-parts":[[2022,4]]}},"alternative-id":["s22072676"],"URL":"https:\/\/doi.org\/10.3390\/s22072676","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2022,3,31]]}}}