Power allocation in MIMO wiretap channel with statistical CSI and finite-alphabet input

Vishwakarma, Sanjay; Chockalingam, A.

doi:10.1109/spcom.2014.6983915

Cited by 7 publications

(6 citation statements)

References 16 publications

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“…Alternatively, the secrecy rate maximization, assuming statistical CSIT of the eavesdropping channel, has been pursued by approximating the information rate between Alice and Eve, which leads to a simplified optimization problem. In [28], the average mutual information between Alice and Eve is upperbounded by a deterministic channel and the optimal precoding has the same direction as the generalized eigenvector of the approximate wiretap channels. In [29], the average mutual information is lower-bounded with a simplified analytical expression, and the upper bound of secrecy rate is obtained by assuming linear precoding at the transmitter.…”

Section: A Related Workmentioning

confidence: 99%

“…By approximating the average rate of Eve with its Taylor series expansion, the non-convex secrecy rate maximization reduces to a sequence of convex sub-problems [30]. However, the techniques used in [28]- [30] are relevant to the MIMO channels with colocated antenna arrays, and cannot be applied to the D-MIMO (or RD-MIMO) channels, as we assumed in this paper.…”

Section: Introductionmentioning

confidence: 99%

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Secrecy Rate of Cooperative MIMO in the Presence of a Location Constrained Eavesdropper

Zheng

Haas

Kieburg

2019

IEEE Trans. Commun.

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We propose and study the cooperative MIMO architecture to enable and to improve the secrecy transmissions between clusters of mobile devices in the presence of an eavesdropper with certain location constraint. The cooperative MIMO system in this paper (referred to as Reconfigurable Distributed MIMO) is formed by temporarily activating clusters of nearby trusted mobile devices, with each cluster being centrally coordinated by its corresponding cluster head. We assume that the transmitters apply a practical eigen-direction precoding scheme to transmit the confidential signal and artificial noise, while the eavesdropper can be located in multiple possible locations in the proximity. We first obtain the expression of the secrecy rate, where the required average mutual information between the transmitters and the eavesdropper is characterized by closedform approximations. The proposed approximations are especially useful in the secrecy rate maximization, where the original non-convex problem can be solved by the successive convex approximations. Numerical results show that the secrecy rate can be significantly improved by leveraging the location constraint of the eavesdropper, compared to the existing result. We also demonstrate that the secrecy rate can be further improved by increasing the cluster size.Index Terms-Physical-layer security, cooperative MIMO, reconfigurable distributed MIMO, mobile networks, artificial noise injection, random matrix theory.legitimate transceivers and circumvents the challenges in the conventional key-based encryption, such as key distribution and management, which are especially critical in wireless communication due to its broadcasting nature.Throughout this paper, we refer to the legitimate transmitter(s) and the legitimate receiver(s) as Alice and Bob, respectively, and refer to the eavesdropper as Eve. Under the secrecy constraint, the maximum information rate between Alice and Bob is characterized by the "secrecy capacity." As shown in [2] and [3], the secrecy capacity is the difference between the Shannon rates of two channels, the legitimate channel between Alice and Bob and the eavesdropping channel between Alice and Eve, under the condition that the mutual information between Alice and Eve is zero.Multi-antenna transceivers increase the spatial degrees of freedom of the communication, which can be leveraged to improve the secrecy rate [4]. When Alice has a single antenna and Bob has multiple antennas, a.k.a. the Single-Input Multi-Output (SIMO) system, the secrecy capacity and the outage secrecy capacity were investigated in [5] and [6], while the corresponding MISO case was studied in [7] and [8]. The secrecy capacity of a special case of the MIMO wiretap channel was considered in [9], where Alice and Bob are equipped with dual antennas, and Eve is equipped with a single antenna. Recently, the physical-layer security has also been considered for the Distributed-MIMO (D-MIMO) systems in [10]-[14], where Alice has a distributed antenna array composed of remote fixed antenna por...

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Section: A Related Workmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Secrecy Rate of Cooperative MIMO in the Presence of a Location Constrained Eavesdropper

Zheng

Haas

Kieburg

2019

IEEE Trans. Commun.

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“…They first obtain an expression for an achievable secrecy rate, and then, under the full CSI assumption, they optimize the transmit power and the beamforming vector. The problem of power allocation for secrecy over MIMO wiretap channels with multiple eavesdroppers is studied in [102]. Under the assumption that the transmitter has perfect MCSI and statistical ECSI, the proposed power allocation strategy gives non-zero secrecy rates at high transmit powers.…”

Section: A Multiuser and Multi-eve Network 1) Broadcast Channel Witmentioning

confidence: 99%

An Overview of Physical Layer Security With Finite-Alphabet Signaling

Aghdam

Nooraiepour

Duman

2019

IEEE Commun. Surv. Tutorials

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Providing secure communications over the physical layer with the objective of achieving secrecy without requiring a secret key has been receiving growing attention within the past decade. The vast majority of the existing studies in the area of physical layer security focus exclusively on the scenarios where the channel inputs are Gaussian distributed. However, in practice, the signals employed for transmission are drawn from discrete signal constellations such as phase shift keying and quadrature amplitude modulation. Hence, understanding the impact of the finite-alphabet input constraints and designing secure transmission schemes under this assumption is a mandatory step toward a practical implementation of physical layer security. With this motivation, this paper reviews recent developments on physical layer security with finite-alphabet inputs. We explore transmit signal design algorithms for single-antenna as well as multi-antenna wiretap channels under different assumptions on the channel state information at the transmitter. Moreover, we present a review of the recent results on secure transmission with discrete signaling for various scenarios including multi-carrier transmission systems, broadcast channels with confidential messages, cognitive multiple access and relay networks. Throughout the article, we stress the important behavioral differences of discrete versus Gaussian inputs in the context of the physical layer security. We also present an overview of practical code construction over Gaussian and fading wiretap channels, and discuss some open problems and directions for future research.

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“…The constraint in (35) corresponds to the best case S − E j link information rate over the region of CSI error uncertainty. The constraint in ( 36) is associated with the information rate constraint in (23), i.e., the worst case information rate to the MIMO relay R over the region of CSI error uncertainty should be greater than or equal to the best case information rate to destination D. Solving the optimization problem (33) is hard due to the presence of e h in both the numerator and denominator of the objective function in (33) and the constraint in (36).…”

Section: N0mentioning

confidence: 99%

“…However, in a practical communication system, the codeword symbols will belong to a finite alphabet set, e.g., M -ary alphabets. The effect of finite constellation on secrecy rate has been reported in [17]- [23]. In [22], DF relay beamforming for secrecy with finite alphabet has been considered.…”

Section: Introductionmentioning

confidence: 99%

MIMO DF Relay Beamforming for Secrecy with Artificial Noise, Imperfect CSI, and Finite-Alphabet

Vishwakarma,

Chockalingam

2015

Preprint

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In this paper, we consider decode-and-forward (DF) relay beamforming with imperfect channel state information (CSI), cooperative artificial noise (AN) injection, and finitealphabet input in the presence of an user and J non-colluding eavesdroppers. The communication between the source and the user is aided by a multiple-input-multiple-output (MIMO) DF relay. We use the fact that a wiretap code consists of two parts: i) common message (non-secret), and ii) secret message. The source transmits two independent messages: i) common message (non-secret), and ii) secret message. The common message is transmitted at a fixed rate R0, and it is intended for the user. The secret message is also intended for the user but it should be kept secret from the J eavesdroppers. The source and the MIMO DF relay operate under individual power constraints. In order to improve the secrecy rate, the MIMO relay also injects artificial noise. The CSI on all the links are assumed to be imperfect and CSI errors are assumed to be norm bounded. In order to maximize the worst case secrecy rate, we maximize the worst case link information rate to the user subject to: i) the individual power constraints on the source and the MIMO relay, and ii) the best case link information rates to J eavesdroppers be less than or equal to R0 in order to support a fixed common message rate R0. Numerical results showing the effect of perfect/imperfect CSI, presence/absence of AN with finite-alphabet input on the secrecy rate are presented.

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Power allocation in MIMO wiretap channel with statistical CSI and finite-alphabet input

Cited by 7 publications

References 16 publications

Secrecy Rate of Cooperative MIMO in the Presence of a Location Constrained Eavesdropper

Secrecy Rate of Cooperative MIMO in the Presence of a Location Constrained Eavesdropper

An Overview of Physical Layer Security With Finite-Alphabet Signaling

MIMO DF Relay Beamforming for Secrecy with Artificial Noise, Imperfect CSI, and Finite-Alphabet

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