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Optimal Transmit Strategies for Gaussian MISO Wiretap Channels
Ericsson AB, Kista, Sweden.ORCID iD: 0000-0002-0108-0749
KTH, School of Electrical Engineering and Computer Science (EECS), Intelligent systems, Information Science and Engineering.ORCID iD: 0000-0002-0036-9049
2020 (English)In: IEEE Transactions on Information Forensics and Security, ISSN 1556-6013, E-ISSN 1556-6021, Vol. 15, p. 829-838Article in journal (Refereed) Published
Abstract [en]

This paper studies the optimal tradeoff between secrecy and non-secrecy rates of the MISO wiretap channels for different power constraint settings: sum power constraint only, per-antenna power constraints only, and joint sum and per-antenna power constraints. The problem is motivated by the fact that channel capacity and secrecy capacity are generally achieved by different transmit strategies. First, a necessary and sufficient condition to ensure a positive secrecy capacity is shown. The optimal tradeoff between secrecy rate and transmission rate is characterized by a weighted rate sum maximization problem. Since this problem is not necessarily convex, equivalent problem formulations are introduced to derive the optimal transmit strategies. Under sum power constraint only, a closed-form solution is provided. Under per-antenna power constraints, necessary conditions to find the optimal power allocation are derived. Sufficient conditions are provided for the special case of two transmit antennas. For the special case of aligned channels, the optimal transmit strategies can deduced from an equivalent point-to-point channel problem. Last, the theoretical results are illustrated by numerical simulations.

Place, publisher, year, edition, pages
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC , 2020. Vol. 15, p. 829-838
Keywords [en]
Wiretap channels, per-antenna power constraints, secrecy rate, optimal transmit strategy
National Category
Telecommunications
Identifiers
URN: urn:nbn:se:kth:diva-264151DOI: 10.1109/TIFS.2019.2929474ISI: 000493566500023Scopus ID: 2-s2.0-85069917662OAI: oai:DiVA.org:kth-264151DiVA, id: diva2:1376523
Funder
Swedish Research Council, 2016-03853
Note

QC 20191209. QC 20200319

Available from: 2019-12-09 Created: 2019-12-09 Last updated: 2020-03-19Bibliographically approved

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