{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,15]],"date-time":"2026-01-15T05:30:51Z","timestamp":1768455051892,"version":"3.49.0"},"reference-count":46,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2019,7,16]],"date-time":"2019-07-16T00:00:00Z","timestamp":1563235200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"This research received support from the grant SGS reg. No. SP2019\/41 conducted at VSB Technical University of Ostrava, Czech Republic, and is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 102.04","award":["No. SP2019\/41 and 102.04-2017.317, respectively"],"award-info":[{"award-number":["No. SP2019\/41 and 102.04-2017.317, respectively"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>In this paper, we propose a rateless codes-based communication protocol to provide security for wireless systems. In the proposed protocol, a source uses the transmit antenna selection (TAS) technique to transmit Fountain-encoded packets to a destination in presence of an eavesdropper. Moreover, a cooperative jammer node harvests energy from radio frequency (RF) signals of the source and the interference sources to generate jamming noises on the eavesdropper. The data transmission terminates as soon as the destination can receive a sufficient number of the encoded packets for decoding the original data of the source. To obtain secure communication, the destination must receive sufficient encoded packets before the eavesdropper. The combination of the TAS and harvest-to-jam techniques obtains the security and efficient energy via reducing the number of the data transmission, increasing the quality of the data channel, decreasing the quality of the eavesdropping channel, and supporting the energy for the jammer. The main contribution of this paper is to derive exact closed-form expressions of outage probability (OP), probability of successful and secure communication (SS), intercept probability (IP) and average number of time slots used by the source over Rayleigh fading channel under the joint impact of co-channel interference and hardware impairments. Then, Monte Carlo simulations are presented to verify the theoretical results.<\/jats:p>","DOI":"10.3390\/e21070700","type":"journal-article","created":{"date-parts":[[2019,7,17]],"date-time":"2019-07-17T02:44:03Z","timestamp":1563331443000},"page":"700","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Rateless Codes-Based Secure Communication Employing Transmit Antenna Selection and Harvest-To-Jam under Joint Effect of Interference and Hardware Impairments"],"prefix":"10.3390","volume":"21","author":[{"given":"Phu","family":"Tran Tin","sequence":"first","affiliation":[{"name":"VSB\u2014Technical University of Ostrava, 17. listopadu 15\/2172, 708 33 Ostrava, Czech Republic"},{"name":"Faculty of Electronics Technology, Industrial University of Ho Chi Minh City, Ho Chi Minh City 700000, Vietnam"}]},{"given":"Tan","family":"Nguyen","sequence":"additional","affiliation":[{"name":"VSB\u2014Technical University of Ostrava, 17. listopadu 15\/2172, 708 33 Ostrava, Czech Republic"}]},{"given":"Nguyen","family":"Sang","sequence":"additional","affiliation":[{"name":"Department of Electrical and Electronic Engineering, Duy Tan University, DaNang City 550000, Vietnam"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3947-2174","authenticated-orcid":false,"given":"Tran","family":"Trung Duy","sequence":"additional","affiliation":[{"name":"Department of Telecommunications, Posts and Telecommunications Institute of Technology, Ho Chi Minh City 700000, Vietnam"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1448-8882","authenticated-orcid":false,"given":"Phuong","family":"Tran","sequence":"additional","affiliation":[{"name":"Wireless Communications Research Group, Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5135-7980","authenticated-orcid":false,"given":"Miroslav","family":"Voznak","sequence":"additional","affiliation":[{"name":"VSB\u2014Technical University of Ostrava, 17. listopadu 15\/2172, 708 33 Ostrava, Czech Republic"}]}],"member":"1968","published-online":{"date-parts":[[2019,7,16]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1355","DOI":"10.1002\/j.1538-7305.1975.tb02040.x","article-title":"The Wire-tap Channel","volume":"54","author":"Wyner","year":"1975","journal-title":"Bell Syst. 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