On the ergodic secrecy capacity and secrecy outage probability of the MIMOME Rayleigh wiretap channel

2015 ◽  
Vol 28 (1) ◽  
pp. e2924 ◽  
Author(s):  
Andre Saito Guerreiro ◽  
Gustavo Fraidenraich ◽  
Richard Demo Souza
Keyword(s):  
Outage Probability ◽  
Secrecy Outage Probability ◽  
Secrecy Capacity ◽  
Wiretap Channel ◽  
Secrecy Outage

scholarly journals On the Secrecy Outage of Wiretap Channel

2020 ◽  
Vol 9 (10) ◽  
pp. 254-259
Keyword(s):  
Outage Probability ◽  
Fading Channels ◽  
Data Transmission ◽  
Rician Fading ◽  
Secrecy Outage Probability ◽  
Wireless Data ◽  
Wiretap Channel ◽  
Wireless Data Transmission ◽  
Secrecy Outage ◽  
Rician Fading Channels

In wireless data transmission, providing security over communication channels has become a growing concern. Traditionally cryptography is used to provide secrecy. However, physical layer studies show that it allows a huge potential in providing secrecy. In this paper, secrecy outage probability is derived for Rician fading channels. A new secrecy metric Generalized Secrecy Outage Probability(GSOP) derivation is considered to overcome the limitation of traditional Outage probability for both passive and active cases of eavesdropping.

scholarly journals Secrecy Performance of Eigendecomposition-Based FTN Signaling and NOFDM in Quasi-Static Fading Channel

2021 ◽  
Author(s):  
Shinya Sugiura
Keyword(s):  
Outage Probability ◽  
Fading Channel ◽  
Orthogonal Frequency Division Multiplexing ◽  
Secrecy Outage Probability ◽  
Secrecy Rate ◽  
Wiretap Channel ◽  
Information Theoretic ◽  
Single Carrier ◽  
Secrecy Outage ◽  
Eigen Decomposition

<p>In this paper, we investigate the information-theoretic secrecy performance of recent precoded faster-than-Nyquist signaling (FTN) with the aid of optimal power allocation in eigenspace. More specifically, the secrecy rate and secrecy outage probability of a fading wiretap channel, which was derived for classical Nyquist-based orthogonal signaling transmission ,is extended to those of our eigen decomposition-based FTN (E-FTN) signaling for a quasi-static frequency-flat Rayleigh fading channel. Our performance results demonstrate that the proposed E-FTN signaling scheme exhibits improvements in secrecy rate and secrecy outage probability over conventional Nyquist-based and FTN signaling transmissions. We also show that the same benefits as those of single-carrier E-FTN signaling are attainable by its non-orthogonal multicarrier counterpart, where subcarrier spacing is set lower than that of orthogonal frequency-division multiplexing.<br></p><p><br></p><p>Postprint accepted on 1 April 2021 for publication in IEEE Transactions on Wireless Communications (DOI: 10.1109/TWC.2021.3070891). (c) 2021 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.</p>

scholarly journals On the Zero-Outage Secrecy-Capacity of Dependent Fading Wiretap Channels

Entropy ◽  
2022 ◽  
Vol 24 (1) ◽  
pp. 99
Author(s):  
Eduard Jorswieck ◽  
Pin-Hsun Lin ◽  
Karl-Ludwig Besser
Keyword(s):  
Outage Probability ◽  
Fading Channels ◽  
Positive Zero ◽  
Dependence Structure ◽  
Secrecy Outage Probability ◽  
Secrecy Capacity ◽  
Secrecy Rate ◽  
Wiretap Channel ◽  
Dependency Structure ◽  
Dependency Structures

It is known that for a slow fading Gaussian wiretap channel without channel state information at the transmitter and with statistically independent fading channels, the outage probability of any given target secrecy rate is non-zero, in general. This implies that the so-called zero-outage secrecy capacity (ZOSC) is zero and we cannot transmit at any positive data rate reliably and confidentially. When the fading legitimate and eavesdropper channels are statistically dependent, this conclusion changes significantly. Our work shows that there exist dependency structures for which positive zero-outage secrecy rates (ZOSR) are achievable. In this paper, we are interested in the characterization of these dependency structures and we study the system parameters in terms of the number of observations at legitimate receiver and eavesdropper as well as average channel gains for which positive ZOSR are achieved. First, we consider the setting that there are two paths from the transmitter to the legitimate receiver and one path to the eavesdropper. We show that by introducing a proper dependence structure among the fading gains of the three paths, we can achieve a zero secrecy outage probability (SOP) for some positive secrecy rate. In this way, we can achieve a non-zero ZOSR. We conjecture that the proposed dependency structure achieves maximum ZOSR. To better understand the underlying dependence structure, we further consider the case where the channel gains are from finite alphabets and systematically and globally solve the ZOSC. In addition, we apply the rearrangement algorithm to solve the ZOSR for continuous channel gains. The results indicate that the legitimate link must have an advantage in terms of the number of antennas and average channel gains to obtain positive ZOSR. The results motivate further studies into the optimal dependency structures.

scholarly journals Asymptotic Bound of Secrecy Capacity for MIMOME-Based Transceivers: A Suboptimally Tractable Solution for Imperfect CSI

2017 ◽  
Vol 2017 ◽  
pp. 1-11
Author(s):  
Makan Zamanipour
Keyword(s):  
Outage Probability ◽  
Estimation Error ◽  
Closed Form Solution ◽  
Form Solution ◽  
Secrecy Outage Probability ◽  
Secrecy Capacity ◽  
Worst Case ◽  
Wiretap Channel ◽  
Asymptotic Bound ◽  
Imperfect Knowledge

The paper principally proposes a suboptimally closed-form solution in terms of a general asymptotic bound of the secrecy capacity in relation to MIMOME-based transceivers. Such pivotal solution is essentially tight as well, fundamentally originating from the principle convexity. The resultant novelty, per se, is strictly necessary since the absolutely central criterion imperfect knowledge of the wiretap channel at the transmitter should also be highly regarded. Meanwhile, ellipsoidal channel uncertainty set-driven strategies are physically taken into consideration. Our proposed solution is capable of perfectly being applied for other general equilibria such as multiuser ones. In fact, this in principle addresses an entirely appropriate alternative for worst-case method-driven algorithms utilising some provable inequality-based mathematical expressions. Our framework is adequately guaranteed regarding a totally acceptable outage probability (as 1 − preciseness coefficient). The relative value is almost 10% for the estimation error values (EEVs) ⩽0.5 for 2×2-based transceivers, which is noticeably reinforced at nearly 5% for EEVs  ⩽0.9 for the case 4×4. Furthermore, our proposed scheme basically guarantees the secrecy outage probability (SOP) less than 0.05% for the case of having EEVs ⩽0.3, for the higher power regime.

scholarly journals Precoding-Aided Spatial Modulation for the Wiretap Channel with Relay Selection and Cooperative Jamming

2018 ◽  
Vol 2018 ◽  
pp. 1-11 ◽  
Author(s):  
Zied Bouida ◽  
Athanasios Stavridis ◽  
Ali Ghrayeb ◽  
Harald Haas ◽  
Mazen Hasna ◽  
...  
Keyword(s):  
Physical Layer Security ◽  
Cooperative Networks ◽  
Spatial Modulation ◽  
Second Phase ◽  
Secrecy Outage Probability ◽  
Secrecy Capacity ◽  
Wiretap Channel ◽  
Cooperative Jamming ◽  
Secrecy Outage ◽  
Two Phases

We propose in this paper a physical-layer security (PLS) scheme for dual-hop cooperative networks in an effort to enhance the communications secrecy. The underlying model comprises a transmitting node (Alice), a legitimate node (Bob), and an eavesdropper (Eve). It is assumed that there is no direct link between Alice and Bob, and the communication between them is done through trusted relays over two phases. In the first phase, precoding-aided spatial modulation (PSM) is employed, owing to its low interception probability, while simultaneously transmitting a jamming signal from Bob. In the second phase, the selected relay detects and transmits the intended signal, whereas the remaining relays transmit the jamming signal received from Bob. We analyze the performance of the proposed scheme in terms of the ergodic secrecy capacity (ESC), the secrecy outage probability (SOP), and the bit error rate (BER) at Bob and Eve. We obtain closed-form expressions for the ESC and SOP and we derive very tight upper-bounds for the BER. We also optimize the performance with respect to the power allocation among the participating relays in the second phase. We provide examples with numerical and simulation results through which we demonstrate the effectiveness of the proposed scheme.

scholarly journals Cascaded κ-μ Fading Channels with Colluding and Non-Colluding Eavesdroppers: Physical-Layer Security Analysis

2021 ◽  
Vol 13 (8) ◽  
pp. 205
Author(s):  
Deemah Tashman ◽  
Walaa Hamouda
Keyword(s):  
Outage Probability ◽  
Fading Channels ◽  
Physical Layer Security ◽  
Security Analysis ◽  
Physical Layer ◽  
Secrecy Outage Probability ◽  
Secrecy Capacity ◽  
Intercept Probability ◽  
Asymptotic Expressions ◽  
Secrecy Outage

In this paper, the physical-layer security for a three-node wiretap system model is studied. Under the threat of multiple eavesdroppers, it is presumed that a transmitter is communicating with a legitimate receiver. The channels are assumed to be following cascaded κ-μ fading distributions. In addition, two scenarios for eavesdroppers’ interception and information-processing capabilities are investigated: colluding and non-colluding eavesdroppers. The positions of these eavesdroppers are assumed to be random in the non-colluding eavesdropping scenario, based on a homogeneous Poisson point process (HPPP). The security is examined in terms of the secrecy outage probability, the probability of non-zero secrecy capacity, and the intercept probability. The exact and asymptotic expressions for the secrecy outage probability and the probability of non-zero secrecy capacity are derived. The results demonstrate the effect of the cascade level on security. Additionally, the results indicate that as the number of eavesdroppers rises, the privacy of signals exchanged between legitimate ends deteriorates. Furthermore, in this paper, regarding the capabilities of tapping and processing the information, we provide a comparison between colluding and non-colluding eavesdropping.

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