On the Gaussian Multiple Access Wiretap Channel and the Gaussian Wiretap Channel With a Helper: Achievable Schemes and Upper Bounds

Research output: Contribution to journalResearch articleContributedpeer-review

Contributors

  • Rick Fritschek - , Free University of Berlin (Author)
  • Gerhard Wunder - , Free University of Berlin (Author)

Abstract

We study deterministic approximations of the Gaussian two-user multiple access wiretap channel (G-MAC-WT) and the Gaussian wiretap channel with a helper (G-WT-H). These approximations enable results beyond the recently shown 2/3 and 1/2 secure degrees of freedom (s.d.o.f.) for the G-MAC-WT and the G-WT-H, respectively. While the s.d.o.f. were obtained by real interference alignment, our approach uses signal-scale alignment. We show achievable schemes which are independent of the rationality of the channel gains. Moreover, our results can differentiate between channel strengths, in particular, between both users, and will establish secrecy rates dependent on this difference. We can show that the resulting achievable secrecy rates tend to the s.d.o.f. for vanishing channel gain differences. Moreover, we extend previous and develop new techniques to prove generalized s.d.o.f. bounds for varying channel strengths and show that our achievable schemes reach the bounds for certain channel gain parameters. We believe that our analysis is the next step toward a constant-gap analysis of the G-MAC-WT and the G-WT-H.

Details

Original languageEnglish
Article number8470105
Pages (from-to)1224-1239
Number of pages16
JournalIEEE Transactions on Information Forensics and Security
Volume14
Issue number5
Publication statusPublished - 1 May 2019
Peer-reviewedYes
Externally publishedYes

External IDs

Scopus 85054212575

Keywords

Keywords

  • Interference, Decoding, Jamming, Receivers, Channel models, Signal to noise ratio, Upper bound