16 research outputs found
Explicit Solution of Worst-Case Secrecy Rate for MISO Wiretap Channels with Spherical Uncertainty
A multiple-input single-output (MISO) wiretap channel model is considered,
that includes a multi-antenna transmitter, a single-antenna legitimate receiver
and a single-antenna eavesdropper. For the scenario in which spherical
uncertainty for both the legitimate and the eavesdropper channels is included,
the problem of finding the optimal input covariance that maximizes the
worst-case secrecy rate subject to a power constraint, is considered, and an
explicit expression for the maximum worst-case secrecy rate is provided.Comment: 1 figure
Spatially Selective Artificial-Noise Aided Transmit Optimization for MISO Multi-Eves Secrecy Rate Maximization
Consider an MISO channel overheard by multiple eavesdroppers. Our goal is to
design an artificial noise (AN)-aided transmit strategy, such that the
achievable secrecy rate is maximized subject to the sum power constraint.
AN-aided secure transmission has recently been found to be a promising approach
for blocking eavesdropping attempts. In many existing studies, the confidential
information transmit covariance and the AN covariance are not simultaneously
optimized. In particular, for design convenience, it is common to prefix the AN
covariance as a specific kind of spatially isotropic covariance. This paper
considers joint optimization of the transmit and AN covariances for secrecy
rate maximization (SRM), with a design flexibility that the AN can take any
spatial pattern. Hence, the proposed design has potential in jamming the
eavesdroppers more effectively, based upon the channel state information (CSI).
We derive an optimization approach to the SRM problem through both analysis and
convex conic optimization machinery. We show that the SRM problem can be recast
as a single-variable optimization problem, and that resultant problem can be
efficiently handled by solving a sequence of semidefinite programs. Our
framework deals with a general setup of multiple multi-antenna eavesdroppers,
and can cater for additional constraints arising from specific application
scenarios, such as interference temperature constraints in interference
networks. We also generalize the framework to an imperfect CSI case where a
worst-case robust SRM formulation is considered. A suboptimal but safe solution
to the outage-constrained robust SRM design is also investigated. Simulation
results show that the proposed AN-aided SRM design yields significant secrecy
rate gains over an optimal no-AN design and the isotropic AN design, especially
when there are more eavesdroppers.Comment: To appear in IEEE Trans. Signal Process., 201
Secrecy Outage and Diversity Analysis of Cognitive Radio Systems
In this paper, we investigate the physical-layer security of a multi-user
multi-eavesdropper cognitive radio system, which is composed of multiple
cognitive users (CUs) transmitting to a common cognitive base station (CBS),
while multiple eavesdroppers may collaborate with each other or perform
independently in intercepting the CUs-CBS transmissions, which are called the
coordinated and uncoordinated eavesdroppers, respectively. Considering multiple
CUs available, we propose the round-robin scheduling as well as the optimal and
suboptimal user scheduling schemes for improving the security of CUs-CBS
transmissions against eavesdropping attacks. Specifically, the optimal user
scheduling is designed by assuming that the channel state information (CSI) of
all links from CUs to CBS, to primary user (PU) and to eavesdroppers are
available. By contrast, the suboptimal user scheduling only requires the CSI of
CUs-CBS links without the PU's and eavesdroppers' CSI. We derive closed-form
expressions of the secrecy outage probability of these three scheduling schemes
in the presence of the coordinated and uncoordinated eavesdroppers. We also
carry out the secrecy diversity analysis and show that the round-robin
scheduling achieves the diversity order of only one, whereas the optimal and
suboptimal scheduling schemes obtain the full secrecy diversity, no matter
whether the eavesdroppers collaborate or not. In addition, numerical secrecy
outage results demonstrate that for both the coordinated and uncoordinated
eavesdroppers, the optimal user scheduling achieves the best security
performance and the round-robin scheduling performs the worst. Finally, upon
increasing the number of CUs, the secrecy outage probabilities of the optimal
and suboptimal user scheduling schemes both improve significantly.Comment: 16 pages, 5 figures, accepted to appear, IEEE Journal on Selected
Areas in Communications, 201