Convex Scheme for the Secrecy Capacity of a MIMO Wiretap Channel with a Single Antenna Eavesdropper

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Security has traditionally been dealt with at layers higher than the physical layer but in the wake of 5G, security at all layers is necessary to deal with the variations in complexity of connected devices. Low power devices may use physical layer security as a solution, while other devices may use physical layer security to complement security at higher layers. One key metric for physical layer security is the secrecy capacity. This is the maximum rate that a system can transmit with perfect secrecy.
Multiple Input Multiple Output (MIMO) and Massive MIMO systems look likely to play a part in 5G, but the secrecy capacity for such systems is not fully understood. For a Gaussian MIMO channel, the secrecy capacity is a non-convex optimisation problem for which a general solution is not available. This paper
presents an optimisation scheme that enables us to determine the secrecy capacity of a MIMO system with a single eavesdrop antenna. It is shown that, for certain parameters, the presented scheme is a concave problem which can therefore be solved efficiently using existing convex optimisation software.
Original languageEnglish
Title of host publication2019 IEEE International Conference on Communications (ICC) Proceedings
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Number of pages5
ISBN (Electronic)978-1-5386-8088-9
ISBN (Print)978-1-5386-8089-6
Publication statusE-pub ahead of print - 15 Jul 2019
EventIEEE International Conference on Communications - Shanghai, China
Duration: 20 May 201924 May 2019
Conference number: 53

Publication series

NameInstitute of Electrical and Electronic Engineers
ISSN (Print)1550-3607
ISSN (Electronic)1938-1883


ConferenceIEEE International Conference on Communications
Abbreviated titleICC
Internet address


  • convex optimisation
  • MIMO
  • secrecy capacity


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