dc.contributor.author Hyadi, Amal dc.contributor.author Rezki, Zouheir dc.contributor.author Alouini, Mohamed-Slim dc.date.accessioned 2020-04-21T12:18:35Z dc.date.available 2020-04-21T12:18:35Z dc.date.issued 2020-04-21 dc.identifier.citation Hyadi, A., Rezki, Z., & Alouini, M.-S. (2020). Securing Multi-User Broadcast Wiretap Channels with Finite CSI Feedback. IEEE Transactions on Information Theory, 1–1. doi:10.1109/tit.2020.2988862 dc.identifier.issn 0018-9448 dc.identifier.issn 1557-9654 dc.identifier.doi 10.1109/TIT.2020.2988862 dc.identifier.uri http://hdl.handle.net/10754/662601 dc.description.abstract In this work, we investigate the problem of secure broadcasting over block-fading wiretap channels with limited channel knowledge at the transmitter. More particularly, we analyze the effect of having a finite rate feedback on the throughput of multi-user broadcast wiretap channels. We consider that the transmitter is only provided by a $b$-bits feedback of the main channel state information (CSI) sent by each legitimate receiver, at the beginning of each fading block, over error-free public links with limited capacity. Also, we assume that the transmitter is aware of the statistics of the eavesdropper's CSI but not of its channel's realizations. Under these assumptions of CSI uncertainty, we characterize the ergodic secrecy capacity of the system when a common message is broadcasted to all legitimate receivers, the ergodic secrecy sum-capacity when multiple independent messages are transmitted, and the ergodic secrecy capacity region for the broadcast channel with confidential messages (BCCM). In all three scenarios, we show that as long as the transmitter has some knowledge of the main CSI, obtained even through a 1-bit CSI feedback, a non-zero secrecy rate can still be achieved. The impact of having the feedback sent over a binary erasure channel (BEC) is also investigated for the BCCM case. Here again, and even with the possibility of having the feedback bits erased, a positive secrecy rate can still be achieved as long as the erasure event is not a probability-one event. An asymptotic analysis of the obtained results is provided for the high SNR regime, and the scaling law of the system, when the number of legitimate receivers is large, is also presented. dc.publisher Institute of Electrical and Electronics Engineers (IEEE) dc.relation.url https://arxiv.org/pdf/2004.10023 dc.relation.url http://arxiv.org/pdf/2004.10023 dc.rights (c) 2020 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works. dc.subject Ergodic secrecy capacity dc.subject channel state information dc.subject broadcast channel dc.subject block-fading channel dc.subject binary erasure channel dc.subject limited feedback dc.title Securing Multi-User Broadcast Wiretap Channels with Finite CSI Feedback dc.type Preprint dc.contributor.department Communication Theory Lab dc.contributor.department Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division dc.contributor.department Electrical Engineering Program dc.identifier.journal IEEE Transactions on Information Theory dc.eprint.version Post-print dc.contributor.institution Electrical and Computer Engineering Department, McGill University, Montreal, Canada. dc.contributor.institution Electrical and Computer Engineering Department, University of Idaho, Moscow, ID, US. dc.identifier.pages 1-1 dc.identifier.arxivid 2004.10023 kaust.person Alouini, Mohamed-Slim refterms.dateFOA 2020-12-03T13:44:54Z dc.date.published-online 2020-04-21 dc.date.published-print 2020-07 dc.date.posted 2020-04-18
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