Results on the Rate-Equivocation Region of the Degraded Signal-Dependent Noise Wiretap Channel

Morteza Soltani, Zouheir Rezki

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


This letter studies the rate-equivocation region of a degraded signal-dependent noise wiretap channel (SDGN-WC), where the noise is Gaussian. This signal-dependent noise occurs in optical wireless communication (OWC) settings based on intensity modulation and direct detection (IM-DD). In this setup, the transmitted signals are nonnegative and are restricted by an average optical power constraint. We consider the rate-equivocation region of the degraded SDGN-WC and through solving a convex optimization problem, we establish that the support set of the optimal distributions must be countably infinite. Our result implies that when the transmitted optical signals are restricted by an average optical power: 1) the secrecy capacity is achieved by a distribution which has a countably infinite support set; 2) the channel capacity (the case with no secrecy constraints) is also achieved by a distribution having a countably infinite support set.
Original languageEnglish (US)
Pages (from-to)1914-1918
Number of pages5
JournalIEEE Communications Letters
Issue number9
StatePublished - Sep 2020
Externally publishedYes

Bibliographical note

KAUST Repository Item: Exported on 2021-03-11
Acknowledged KAUST grant number(s): OSR-2016-CRG5-2958-01
Acknowledgements: This work has been supported by the King Abdullah University of Science Technology (KAUST), under a competitive research grant (CRG) OSR-2016-CRG5-2958-01.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

ASJC Scopus subject areas

  • Modeling and Simulation
  • Computer Science Applications
  • Electrical and Electronic Engineering


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