Secrecy rates in broadcast channels with confidential messages and external eavesdroppers

Giovanni Geraci, Sarabjot Singh, Jeffrey G. Andrews, Jinhong Yuan, Iain B. Collings

Research output: Contribution to journalArticle

78 Citations (Scopus)


In this paper, we consider the broadcast channel with confidential messages and external eavesdroppers (BCCE), where a multi-antenna base station simultaneously communicates to multiple potentially malicious users, in the presence of randomly located external eavesdroppers. Using the proposed model, we study the secrecy rates achievable with regularized channel inversion (RCI) precoding by performing a large-system analysis that combines results from stochastic geometry and random matrix theory, where the number of users K and the number of transmit antennas N both grow to infinity in a fixed ratio. We obtain explicit expressions for the probability of secrecy outage and an upper bound on the rate loss due to the presence of external eavesdroppers. We show that both these quantities scale as λe/√N as the density of external eavesdroppers λe grows, irrespective of their collusion strategy. Furthermore, we derive a practical rule for the choice of the regularization parameter, which is agnostic of channel state information and location of eavesdroppers, and yet provides close to optimal performance.

Original languageEnglish
Article number6799315
Pages (from-to)2931-2943
Number of pages13
JournalIEEE Transactions on Wireless Communications
Issue number5
Publication statusPublished - May 2014
Externally publishedYes


  • broadcast channel
  • linear precoding
  • Physical layer security
  • random matrix theory
  • stochastic geometry

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