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dc.contributor.authorHyadi, Amal
dc.contributor.authorRezki, Zouheir
dc.contributor.authorAlouini, Mohamed-Slim
dc.date.accessioned2020-04-21T12:18:35Z
dc.date.available2020-04-21T12:18:35Z
dc.date.issued2020-04-21
dc.identifier.citationHyadi, 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.issn0018-9448
dc.identifier.issn1557-9654
dc.identifier.doi10.1109/TIT.2020.2988862
dc.identifier.urihttp://hdl.handle.net/10754/662601
dc.description.abstractIn 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.publisherInstitute of Electrical and Electronics Engineers (IEEE)
dc.relation.urlhttps://arxiv.org/pdf/2004.10023
dc.relation.urlhttp://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.subjectErgodic secrecy capacity
dc.subjectchannel state information
dc.subjectbroadcast channel
dc.subjectblock-fading channel
dc.subjectbinary erasure channel
dc.subjectlimited feedback
dc.titleSecuring Multi-User Broadcast Wiretap Channels with Finite CSI Feedback
dc.typePreprint
dc.contributor.departmentCommunication Theory Lab
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentElectrical Engineering Program
dc.identifier.journalIEEE Transactions on Information Theory
dc.eprint.versionPost-print
dc.contributor.institutionElectrical and Computer Engineering Department, McGill University, Montreal, Canada.
dc.contributor.institutionElectrical and Computer Engineering Department, University of Idaho, Moscow, ID, US.
dc.identifier.pages1-1
dc.identifier.arxivid2004.10023
kaust.personAlouini, Mohamed-Slim
refterms.dateFOA2020-12-03T13:44:54Z
dc.date.published-online2020-04-21
dc.date.published-print2020-07
dc.date.posted2020-04-18


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