{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,20]],"date-time":"2025-10-20T10:23:35Z","timestamp":1760955815364,"version":"3.41.2"},"reference-count":24,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2018,5,15]],"date-time":"2018-05-15T00:00:00Z","timestamp":1526342400000},"content-version":"vor","delay-in-days":134,"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":["61571460","61671475","60972042"],"award-info":[{"award-number":["61571460","61671475","60972042"]}],"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>A weighted fractional Fourier transform (WFRFT) based on channel state information (CSI), aiming to safeguard the physical (PHY) layer security of wireless communication system, is proposed. With the proposed scheme, WFRFT is first applied to satellite communications such that the transmitted signal is distorted and can only be neutralized by inverse\u2010WFRFT with the same parameter. Moreover, by exploiting the physical properties of wireless channels, the CSI matrix is transformed as a secret key. In addition, by adding phase rotation (PR) factors to each branch of the WFRFT system, a new unitary matrix with the encryption properties is constructed, and hence, the satellite communications secrecy is reliably guaranteed due to the variation in signal characteristics. Finally, the efficacy of the security enhancement is evaluated in terms of the average bit error rate (BER) and the secrecy capacity. Simulation results show that the proposed encryption method can make the detection and demodulation more difficult for the eavesdropper.<\/jats:p>","DOI":"10.1155\/2018\/7963451","type":"journal-article","created":{"date-parts":[[2018,5,15]],"date-time":"2018-05-15T23:33:57Z","timestamp":1526427237000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["PHY\u2010Aided Secure Communication via Weighted Fractional Fourier Transform"],"prefix":"10.1155","volume":"2018","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7307-2599","authenticated-orcid":false,"given":"Lei","family":"Ni","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xinyu","family":"Da","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5391-010X","authenticated-orcid":false,"given":"Hang","family":"Hu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yuan","family":"Liang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ruiyang","family":"Xu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2018,5,15]]},"reference":[{"key":"e_1_2_8_1_2","doi-asserted-by":"publisher","DOI":"10.1109\/LCOMM.2017.2697951"},{"key":"e_1_2_8_2_2","doi-asserted-by":"publisher","DOI":"10.1109\/JIOT.2016.2619679"},{"key":"e_1_2_8_3_2","doi-asserted-by":"publisher","DOI":"10.1109\/tit.2008.921678"},{"key":"e_1_2_8_4_2","doi-asserted-by":"publisher","DOI":"10.1109\/MCOM.2015.7120011"},{"key":"e_1_2_8_5_2","doi-asserted-by":"publisher","DOI":"10.1109\/JPROC.2016.2558521"},{"key":"e_1_2_8_6_2","doi-asserted-by":"publisher","DOI":"10.1109\/TIFS.2017.2746063"},{"key":"e_1_2_8_7_2","doi-asserted-by":"publisher","DOI":"10.1109\/TVT.2017.2676244"},{"key":"e_1_2_8_8_2","doi-asserted-by":"publisher","DOI":"10.1109\/TVT.2016.2572960"},{"key":"e_1_2_8_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.optcom.2016.05.016"},{"key":"e_1_2_8_10_2","doi-asserted-by":"publisher","DOI":"10.1049\/el.2014.2268"},{"key":"e_1_2_8_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/0030-4018(95)00268-D"},{"key":"e_1_2_8_12_2","doi-asserted-by":"publisher","DOI":"10.1049\/el.2014.3833"},{"key":"e_1_2_8_13_2","doi-asserted-by":"publisher","DOI":"10.1109\/LCOMM.2013.090213.131126"},{"key":"e_1_2_8_14_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11432-011-4394-5"},{"key":"e_1_2_8_15_2","doi-asserted-by":"publisher","DOI":"10.1109\/LCOMM.2014.2359200"},{"key":"e_1_2_8_16_2","doi-asserted-by":"publisher","DOI":"10.1109\/LCOMM.2013.102613.131651"},{"key":"e_1_2_8_17_2","doi-asserted-by":"publisher","DOI":"10.1109\/JPROC.2015.2469602"},{"key":"e_1_2_8_18_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11432-010-0073-1"},{"key":"e_1_2_8_19_2","doi-asserted-by":"publisher","DOI":"10.1049\/el.2015.1027"},{"key":"e_1_2_8_20_2","first-page":"941","article-title":"Periodic complete complementary codes based on displaced Polyphase Orthogonal Sequence","volume":"23","author":"He Y.","year":"2007","journal-title":"Signal Processing"},{"key":"e_1_2_8_21_2","doi-asserted-by":"publisher","DOI":"10.1109\/TNET.2002.808417"},{"key":"e_1_2_8_22_2","doi-asserted-by":"crossref","unstructured":"RivestR. 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