258 research outputs found
Secrecy capacity of a class of orthogonal relay eavesdropper channels
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 multi-antenna
point-to-point channel with a multi-antenna eavesdropper. The outer bounds are
shown to be tight for two sub-classes of channels. The first sub-class is one
in which the source and relay are clustered and the 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 sub-class
in which the source does not transmit to the relay, for which a
noise-forwarding strategy is optimal.Comment: Submitted to Eurasip Journal on Wireless Communications and
Networking special issue on Wireless physical layer security, Dec. 2008,
Revised Jun. 200
Secrecy capacity of a class of orthogonal relay eavesdropper channels
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 multi-antenna
point-to-point channel with a multi-antenna eavesdropper. The outer bounds are
shown to be tight for two sub-classes of channels. The first sub-class is one
in which the source and relay are clustered and the 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 sub-class
in which the source does not transmit to the relay, for which a
noise-forwarding strategy is optimal.Comment: Submitted to Eurasip Journal on Wireless Communications and
Networking special issue on Wireless physical layer security, Dec. 2008,
Revised Jun. 200
Cooperation with an Untrusted Relay: A Secrecy Perspective
We consider the communication scenario where a source-destination pair wishes
to keep the information secret from a relay node despite wanting to enlist its
help. For this scenario, an interesting question is whether the relay node
should be deployed at all. That is, whether cooperation with an untrusted relay
node can ever be beneficial. We first provide an achievable secrecy rate for
the general untrusted relay channel, and proceed to investigate this question
for two types of relay networks with orthogonal components. For the first
model, there is an orthogonal link from the source to the relay. For the second
model, there is an orthogonal link from the relay to the destination. For the
first model, we find the equivocation capacity region and show that answer is
negative. In contrast, for the second model, we find that the answer is
positive. Specifically, we show by means of the achievable secrecy rate based
on compress-and-forward, that, by asking the untrusted relay node to relay
information, we can achieve a higher secrecy rate than just treating the relay
as an eavesdropper. For a special class of the second model, where the relay is
not interfering itself, we derive an upper bound for the secrecy rate using an
argument whose net effect is to separate the eavesdropper from the relay. The
merit of the new upper bound is demonstrated on two channels that belong to
this special class. The Gaussian case of the second model mentioned above
benefits from this approach in that the new upper bound improves the previously
known bounds. For the Cover-Kim deterministic relay channel, the new upper
bound finds the secrecy capacity when the source-destination link is not worse
than the source-relay link, by matching with the achievable rate we present.Comment: IEEE Transactions on Information Theory, submitted October 2008,
revised October 2009. This is the revised versio
On Secure Transmission over Parallel Relay Eavesdropper Channel
We study a four terminal parallel relay-eavesdropper channel which consists
of multiple independent relay-eavesdropper channels as subchannels. For the
discrete memoryless case, we establish inner and outer bounds on the
rate-equivocation region. For each subchannel, secure transmission is obtained
through one of the two coding schemes at the relay: decoding-and-forwarding the
source message or confusing the eavesdropper through noise injection. The inner
bound allows relay mode selection. For the Gaussian model we establish lower
and upper bounds on the perfect secrecy rate. We show that the bounds meet in
some special cases, including when the relay does not hear the source. We
illustrate the analytical results through some numerical examples.Comment: 8 pages, Presented at the Forty-Eighth Annual Allerton Conference on
Communication, Control, and Computing, September 29 - October 1, 2010,
Monticello, IL, US
Cooperative Jamming for Secure Communications in MIMO Relay Networks
Secure communications can be impeded by eavesdroppers in conventional relay
systems. This paper proposes cooperative jamming strategies for two-hop relay
networks where the eavesdropper can wiretap the relay channels in both hops. In
these approaches, the normally inactive nodes in the relay network can be used
as cooperative jamming sources to confuse the eavesdropper. Linear precoding
schemes are investigated for two scenarios where single or multiple data
streams are transmitted via a decode-and-forward (DF) relay, under the
assumption that global channel state information (CSI) is available. For the
case of single data stream transmission, we derive closed-form jamming
beamformers and the corresponding optimal power allocation. Generalized
singular value decomposition (GSVD)-based secure relaying schemes are proposed
for the transmission of multiple data streams. The optimal power allocation is
found for the GSVD relaying scheme via geometric programming. Based on this
result, a GSVD-based cooperative jamming scheme is proposed that shows
significant improvement in terms of secrecy rate compared to the approach
without jamming. Furthermore, the case involving an eavesdropper with unknown
CSI is also investigated in this paper. Simulation results show that the
secrecy rate is dramatically increased when inactive nodes in the relay network
participate in cooperative jamming.Comment: 30 pages, 7 figures, to appear in IEEE Transactions on Signal
Processin
Secure Communication over Parallel Relay Channel
We investigate the problem of secure communication over parallel relay
channel in the presence of a passive eavesdropper. We consider a four terminal
relay-eavesdropper channel which consists of multiple relay-eavesdropper
channels as subchannels. For the discrete memoryless model, we establish outer
and inner bounds on the rate-equivocation region. The inner bound allows mode
selection at the relay. For each subchannel, secure transmission is obtained
through one of two coding schemes at the relay: decoding-and-forwarding the
source message or confusing the eavesdropper through noise injection. For the
Gaussian memoryless channel, we establish lower and upper bounds on the perfect
secrecy rate. Furthermore, we study a special case in which the relay does not
hear the source and show that under certain conditions the lower and upper
bounds coincide. The results established for the parallel Gaussian
relay-eavesdropper channel are then applied to study the fading
relay-eavesdropper channel. Analytical results are illustrated through some
numerical examples.Comment: To Appear in IEEE Transactions on Information Forensics and Securit
Principles of Physical Layer Security in Multiuser Wireless Networks: A Survey
This paper provides a comprehensive review of the domain of physical layer
security in multiuser wireless networks. The essential premise of
physical-layer security is to enable the exchange of confidential messages over
a wireless medium in the presence of unauthorized eavesdroppers without relying
on higher-layer encryption. This can be achieved primarily in two ways: without
the need for a secret key by intelligently designing transmit coding
strategies, or by exploiting the wireless communication medium to develop
secret keys over public channels. The survey begins with an overview of the
foundations dating back to the pioneering work of Shannon and Wyner on
information-theoretic security. We then describe the evolution of secure
transmission strategies from point-to-point channels to multiple-antenna
systems, followed by generalizations to multiuser broadcast, multiple-access,
interference, and relay networks. Secret-key generation and establishment
protocols based on physical layer mechanisms are subsequently covered.
Approaches for secrecy based on channel coding design are then examined, along
with a description of inter-disciplinary approaches based on game theory and
stochastic geometry. The associated problem of physical-layer message
authentication is also introduced briefly. The survey concludes with
observations on potential research directions in this area.Comment: 23 pages, 10 figures, 303 refs. arXiv admin note: text overlap with
arXiv:1303.1609 by other authors. IEEE Communications Surveys and Tutorials,
201
Truthful Mechanisms for Secure Communication in Wireless Cooperative System
To ensure security in data transmission is one of the most important issues
for wireless relay networks, and physical layer security is an attractive
alternative solution to address this issue. In this paper, we consider a
cooperative network, consisting of one source node, one destination node, one
eavesdropper node, and a number of relay nodes. Specifically, the source may
select several relays to help forward the signal to the corresponding
destination to achieve the best security performance. However, the relays may
have the incentive not to report their true private channel information in
order to get more chances to be selected and gain more payoff from the source.
We propose a Vickey-Clark-Grove (VCG) based mechanism and an
Arrow-d'Aspremont-Gerard-Varet (AGV) based mechanism into the investigated
relay network to solve this cheating problem. In these two different
mechanisms, we design different "transfer payment" functions to the payoff of
each selected relay and prove that each relay gets its maximum (expected)
payoff when it truthfully reveals its private channel information to the
source. And then, an optimal secrecy rate of the network can be achieved. After
discussing and comparing the VCG and AGV mechanisms, we prove that the AGV
mechanism can achieve all of the basic qualifications (incentive compatibility,
individual rationality and budget balance) for our system. Moreover, we discuss
the optimal quantity of relays that the source node should select. Simulation
results verify efficiency and fairness of the VCG and AGV mechanisms, and
consolidate these conclusions.Comment: To appear in IEEE Transactions on Wireless Communication
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