Robust outage secrecy rate optimizations for a MIMO secrecy channel

Zheng Chu, Kanapathippillai Cumanan, Zhiguo Ding, Martin Johnston, Stéphane Le Goff

Research output: Journal PublicationArticlepeer-review

52 Citations (Scopus)


This letter investigates robust secrecy rate optimization techniques for a multiple-input-multiple-output (MIMO) wiretap channel in the presence of a multiantenna eavesdropper. In particular, two robust secrecy rate optimization problems are studied: robust power minimization with an outage secrecy rate constraint and robust secrecy rate maximization subject to the outage secrecy rate and transmit power constraints. Here, it is assumed that the legitimate transmitter has perfect channel state information (CSI) of the legitimate receiver and imperfect CSI of the eavesdropper. Both robust problems are not convex in terms of transmit covariance matrix and the outage secrecy rate constraint. Hence, we propose a conservative approximation approach to reformulate this outage secrecy rate constraint by exploiting the Bernstein-type inequality to obtain a tractable solution for these two robust problems. Numerical results have been provided to validate the convergence and the performance of the proposed robust algorithms.

Original languageEnglish
Article number2374611
Pages (from-to)86-89
Number of pages4
JournalIEEE Wireless Communications Letters
Issue number1
Publication statusPublished - 1 Feb 2015
Externally publishedYes


  • Bernstein-type inequality
  • convex optimization
  • MIMO system
  • outage secrecy rate
  • physical-layer secrecy

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering


Dive into the research topics of 'Robust outage secrecy rate optimizations for a MIMO secrecy channel'. Together they form a unique fingerprint.

Cite this