Achievable Secrecy Rates for the Broadcast Channel with Confidential Message and Finite Constellation Inputs

Mheich, Zeina; Alberge, Florence; Duhamel, Pierre

doi:10.1109/tcomm.2014.2374604

Cited by 8 publications

(5 citation statements)

References 24 publications

(48 reference statements)

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“…The achievable rate region for a Gaussian broadcast channel with confidential messages is characterized for discrete inputs in [97]. In this scenario, the transmitter's objective is to send a common message to two receivers as well as to deliver a confidential message to one of them.…”

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

confidence: 99%

“…In this scenario, the transmitter's objective is to send a common message to two receivers as well as to deliver a confidential message to one of them. Dissimilar to [32] and [33] where standard constellations are considered, in [97], the symbols are allowed to be arbitrary, and the achievable secrecy rate region is enlarged by optimizing the symbol positions and the probability distribution of the symbols. The shrinkage of the rate region due to employing PAM inputs is quantified with respect to the optimal Gaussian inputs, and a number of important behavioral differences between these cases are highlighted.…”

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

confidence: 99%

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

confidence: 99%

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

View full text Add to dashboard Cite

show abstract

“…The achievable rate region for Gaussian broadcast channel with confidential messages is characterized for discrete inputs in [96]. In this scenario, the transmitter's objective is to send a common message to two receivers as well as to deliver a confidential message to one of them.…”

Section: A Multiuser and Multi-eve Network 1) Broadcast Channel With ...mentioning

confidence: 99%

“…In this scenario, the transmitter's objective is to send a common message to two receivers as well as to deliver a confidential message to one of them. Dissimilar to [32] and [33] where standard constellations are considered, in [96], the symbols are allowed to be arbitrary, and the achievable secrecy rate region is enlarged by optimizing the symbol positions and the probability distribution of the symbols. The shrinkage of the rate region due to employing PAM inputs is quantified with respect to the optimal Gaussian inputs, and a number of important behavioral differences between these cases are highlighted.…”

Section: A Multiuser and Multi-eve Network 1) Broadcast Channel With ...mentioning

confidence: 99%

An Overview of Physical Layer Security with Finite-Alphabet Signaling

Aghdam¹,

Nooraiepour²,

Duman³

2018

Preprint

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Providing secure communications over the physical layer with the objective of achieving perfect 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 towards a practical implementation of physical layer security. With this motivation, this article 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 we discuss some open problems and directions for future research.

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“…A finite constellation over an amplify and forward relay channel with security constraints is studied in [12]. The secrecy rate region of a broadcast channel with confidential messages and finite alphabet inputs is studied in [13]. Very recently, the secrecy performance of an antenna selection aided multiple antenna wiretap channel was studied in [14], where the authors take input from binary PSK/quadrature PSK (BPSK/QPSK) constellations.…”

Section: Introductionmentioning

confidence: 99%

Optimal rotation angle for finite constellation over additive white Gaussian noise multiple access wiretap channel

et al. 2020

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The achievable secrecy rate regions of various multi‐user channels with Gaussian inputs are well‐known in the literature. To gain more practical insights into the achievable rates, it is more useful to consider channels with inputs from finite constellations, such as M‐ary quadrature amplitude modulation (M‐QAM), M‐ary phaseshift keying (MPSK), M‐ary amplitude phase‐shift keying (M‐APSK) etc. The authors study the achievable secrecy rates with a constrained constellation input for a multiple access wiretap channel with an eavesdropper. They also show that if the constellation points are rotated relatively for the two users then the secrecy sum‐rate can be improved. They perform Monte–Carlo simulations for computing these secrecy rates for classical modulation schemes including BPSK, quadrature phase‐shift keying, M‐QAM, M‐PSK, M‐PAM, and M‐APSK. They also derived an approximate function, whose argument of supremum provides an approximately optimal rotation angle for obtaining a maximum secrecy sum‐rate. they also show, via simulations, that rotation of constellation is helpful for some range of signal‐to‐noise ratio only, which is contrary to the results of multiple access channel without security constraint. Finally, they consider a more realistic scenario, where the channel from transmitters to receivers and eavesdroppers is time‐varying. They consider the case of complex circularly symmetric Gaussian random channel gains and compute the optimal rotation angle, which will maximise the expected value of an upper bound of the secrecy sum‐rate.

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Achievable Secrecy Rates for the Broadcast Channel with Confidential Message and Finite Constellation Inputs

Cited by 8 publications

References 24 publications

An Overview of Physical Layer Security With Finite-Alphabet Signaling

An Overview of Physical Layer Security With Finite-Alphabet Signaling

An Overview of Physical Layer Security with Finite-Alphabet Signaling

Optimal rotation angle for finite constellation over additive white Gaussian noise multiple access wiretap channel

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