Secrecy capacity of a class of orthogonal relay eavesdropper channels

Vaneet Aggarwal, Lalitha Sankar, A. Robert Calderbank, H. Vincent Poor

Research output: Contribution to journalArticle

37 Citations (Scopus)

Abstract

The secrecy capacity of relay channels with orthogonal components is studied in the presence of an additional passive eavesdropper node. The relay and destination receive signals from the source on two orthogonal channels such that the destination also receives transmissions from the relay on its channel. The eavesdropper can overhear either one or both of the orthogonal channels. Inner and outer bounds on the secrecy capacity are developed for both the discrete memoryless and the Gaussian channel models. For the discrete memoryless case, the secrecy capacity is shown to be achieved by a partial decode-and-forward (PDF) scheme when the eavesdropper can overhear only one of the two orthogonal channels. Two new outer bounds are presented for the Gaussian model using recent capacity results for a Gaussian multiantenna point-to-point channel with a multiantenna eavesdropper. The outer bounds are shown to be tight for two subclasses of channels. The first subclass is one in which the source and relay are clustered, and the eavesdropper receives signals only on the channel from the source and the relay to the destination, for which the PDF strategy is optimal. The second is a subclass in which the source does not transmit to the relay, for which a noise-forwarding strategy is optimal.

Original languageEnglish (US)
Article number494696
JournalEurasip Journal on Wireless Communications and Networking
Volume2009
DOIs
StatePublished - 2009
Externally publishedYes

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Signal Processing
  • Computer Science Applications

Cite this

Secrecy capacity of a class of orthogonal relay eavesdropper channels. / Aggarwal, Vaneet; Sankar, Lalitha; Calderbank, A. Robert; Poor, H. Vincent.

In: Eurasip Journal on Wireless Communications and Networking, Vol. 2009, 494696, 2009.

Research output: Contribution to journalArticle

@article{1991cf30d5844b67b9ac5f04c7821021,
title = "Secrecy capacity of a class of orthogonal relay eavesdropper channels",
abstract = "The secrecy capacity of relay channels with orthogonal components is studied in the presence of an additional passive eavesdropper node. The relay and destination receive signals from the source on two orthogonal channels such that the destination also receives transmissions from the relay on its channel. The eavesdropper can overhear either one or both of the orthogonal channels. Inner and outer bounds on the secrecy capacity are developed for both the discrete memoryless and the Gaussian channel models. For the discrete memoryless case, the secrecy capacity is shown to be achieved by a partial decode-and-forward (PDF) scheme when the eavesdropper can overhear only one of the two orthogonal channels. Two new outer bounds are presented for the Gaussian model using recent capacity results for a Gaussian multiantenna point-to-point channel with a multiantenna eavesdropper. The outer bounds are shown to be tight for two subclasses of channels. The first subclass is one in which the source and relay are clustered, and the eavesdropper receives signals only on the channel from the source and the relay to the destination, for which the PDF strategy is optimal. The second is a subclass in which the source does not transmit to the relay, for which a noise-forwarding strategy is optimal.",
author = "Vaneet Aggarwal and Lalitha Sankar and Calderbank, {A. Robert} and Poor, {H. Vincent}",
year = "2009",
doi = "10.1155/2009/494696",
language = "English (US)",
volume = "2009",
journal = "Eurasip Journal on Wireless Communications and Networking",
issn = "1687-1472",
publisher = "Springer Publishing Company",

}

TY - JOUR

T1 - Secrecy capacity of a class of orthogonal relay eavesdropper channels

AU - Aggarwal, Vaneet

AU - Sankar, Lalitha

AU - Calderbank, A. Robert

AU - Poor, H. Vincent

PY - 2009

Y1 - 2009

N2 - The secrecy capacity of relay channels with orthogonal components is studied in the presence of an additional passive eavesdropper node. The relay and destination receive signals from the source on two orthogonal channels such that the destination also receives transmissions from the relay on its channel. The eavesdropper can overhear either one or both of the orthogonal channels. Inner and outer bounds on the secrecy capacity are developed for both the discrete memoryless and the Gaussian channel models. For the discrete memoryless case, the secrecy capacity is shown to be achieved by a partial decode-and-forward (PDF) scheme when the eavesdropper can overhear only one of the two orthogonal channels. Two new outer bounds are presented for the Gaussian model using recent capacity results for a Gaussian multiantenna point-to-point channel with a multiantenna eavesdropper. The outer bounds are shown to be tight for two subclasses of channels. The first subclass is one in which the source and relay are clustered, and the eavesdropper receives signals only on the channel from the source and the relay to the destination, for which the PDF strategy is optimal. The second is a subclass in which the source does not transmit to the relay, for which a noise-forwarding strategy is optimal.

AB - The secrecy capacity of relay channels with orthogonal components is studied in the presence of an additional passive eavesdropper node. The relay and destination receive signals from the source on two orthogonal channels such that the destination also receives transmissions from the relay on its channel. The eavesdropper can overhear either one or both of the orthogonal channels. Inner and outer bounds on the secrecy capacity are developed for both the discrete memoryless and the Gaussian channel models. For the discrete memoryless case, the secrecy capacity is shown to be achieved by a partial decode-and-forward (PDF) scheme when the eavesdropper can overhear only one of the two orthogonal channels. Two new outer bounds are presented for the Gaussian model using recent capacity results for a Gaussian multiantenna point-to-point channel with a multiantenna eavesdropper. The outer bounds are shown to be tight for two subclasses of channels. The first subclass is one in which the source and relay are clustered, and the eavesdropper receives signals only on the channel from the source and the relay to the destination, for which the PDF strategy is optimal. The second is a subclass in which the source does not transmit to the relay, for which a noise-forwarding strategy is optimal.

UR - http://www.scopus.com/inward/record.url?scp=69249217813&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=69249217813&partnerID=8YFLogxK

U2 - 10.1155/2009/494696

DO - 10.1155/2009/494696

M3 - Article

VL - 2009

JO - Eurasip Journal on Wireless Communications and Networking

JF - Eurasip Journal on Wireless Communications and Networking

SN - 1687-1472

M1 - 494696

ER -