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IEEE India Conference

Secrecy Capacity of Hybrid, Outage-based Power Adaptive, Cooperative Relaying Networks with Imperfect CSI

Anuj Deshmukh, Devashree Ranjeev Paithankar, Sainath Bitragunta

Published Dec 19, 2021• 0 citations
Publisher

Abstract

We consider a two-hop adaptive decode-amplify-forward (DAF) relay network. The collaborative network consists of a source, multiple hybrid relays, a destination, and an eavesdropper. The relays would help forward source information reliably to the destination node in the eavesdropper’s presence. Specifically, the relays decode its received noisy signal from the source, amplify it adaptively, and then forward it to the destination. We derive and propose a lower bound on this adaptation factor at the relay to meet an outage probability constraint. Note that only one selected relay participates in the processing and forwarding the signal to the destination that uses the maximal ratio combining (MRC) diversity combining techniques with imperfect channel state information (CSI). For the proposed cooperative network model, we derive the expression for the received signal power to interference plus noise power ratio (SINR) and secrecy capacity in the presence of estimation errors. We compare the secrecy performance of the proposed outage-based power adaptive cooperative network for the MRC and the selection combining (SC) diversity techniques at the destination. The analysis and numerical results on secrecy capacity serve as a useful benchmark in cooperative networks with multiple hybrid relays.

DOI
10.1109/indicon52576.2021.9691568

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We consider a two-hop adaptive decode-amplify-forward (DAF) relay network. The collaborative network consists of a source, multiple hybrid relays, a destination, and an eavesdropper. The relays would help forward source information reliably to the destination node in the eavesdropper’s presence. Specifically, the relays decode its received noisy signal from the source, amplify it adaptively, and then forward it to the destination. We derive and propose a lower bound on this adaptation factor at the relay to meet an outage probability constraint. Note that only one selected relay participates in the processing and forwarding the signal to the destination that uses the maximal ratio combining (MRC) diversity combining techniques with imperfect channel state information (CSI). For the proposed cooperative network model, we derive the expression for the received signal power to interference plus noise power ratio (SINR) and secrecy capacity in the presence of estimation errors. We compare the secrecy performance of the proposed outage-based power adaptive cooperative network for the MRC and the selection combining (SC) diversity techniques at the destination. The analysis and numerical results on secrecy capacity serve as a useful benchmark in cooperative networks with multiple hybrid relays.
In this paper, a source communicates to the destination with the cooperation of a relay, in the presence of an eavesdropper. All the links undergo Rayleigh fading and perfect decoding at the relays is not considered. The secrecy outage probability expression is evaluated for a decode-and-forward (DF) dual-hop cooperative relay network, both with and without the presence of direct source to eavesdropper transmission link. The performance of the maximal ratio combining (MRC) and selection combining (SC) diversity at the eavesdropper is investigated. Asymptotic and diversity gain analysis for both the single relay and multi-relay system is obtained, when average SNRs of source-relay and relay-destination links are balanced or unbalanced. We have shown that the increase in target secrecy rate and eavesdropper channel quality significantly affects the outage performance of the system. We have investigated the outage probability of optimal relay selection scheme, when either full instantaneous channel state information (ICSI) or statistical channel state information (SCSI) of all the links is available and have shown that there is improvement in the secrecy performance with the increase in the number of relays.
In this paper, the secrecy outage probability of threshold-based decode-and-forward (DF) cooperative relay network is evaluated. Unlike other works to date, we assume combining of direct and relayed signals both at the destination and the eavesdropper. All the links undergo Rayleigh fading and the relay can perfectly decode the message, only if the received SNR meets a particular threshold. The secrecy performance is compared for the system with either selection combining (SC), or with maximal ratio combining (MRC) or with the combination of both, at the destination and eavesdropper. We have shown that the eavesdropper channel quality, required secrecy rate, pre-defined threshold and the choice of diversity scheme significantly affects the secrecy performance of the system.
In this paper, we consider a dual-hop decode-and-forward (DF) relay network which consists of a source, a destination and multiple DF relays in the presence of an eavesdropper, where the source transmits its data to the destination with the help of DF relays while the eavesdropper attempts to tap the relay transmissions. We examine the impact of channel estimation errors on the secrecy performance of source-destination transmissions and propose an optimal relay selection scheme for improving the transmission security against eavesdropping. To be specific, the proposed relay selection is designed by considering the fact that the channel state information (CSI) of any link from the source via DF relays to destination is inaccurate with channel estimation errors. The traditional round-robin relay selection is also considered for comparison purposes. We derive close-form expressions of the secrecy outage probability for both the proposed optimal relay selection scheme and traditional round-robin relay selection schemes. Numerical results demonstrate an adverse effect of the channel estimation errors on the secrecy outage probability of cooperative relay systems. Additionally, it is shown that the proposed optimal relay selection scheme substantially outperforms the traditional round-robin selection approach in terms of the secrecy outage probability.
In this paper, we study beamforming techniques for secrecy with worst case signal-to-interference-plus-noise ratio (SINR) guarantees in cooperative communications with imperfect channel state information (CSI). The worst case SINRs are the minimum SINR at the intended destination and the maximum SINR at the eavesdroppers. We consider a norm bounded CSI error model. With the available imperfect channel estimates, we design beamformers such that the minimum SINR receivable by the intended destination is above a certain threshold, while the maximum value of SINRs receivable at the eavesdroppers are below another lower threshold. We consider amplify-and-forward (AF) and decode-and-forward (DF) relaying schemes. The relays do the worst case transmit beamforming and injection of artificial noise (AN). We jointly optimize the beamformers and the AN for the AF and DF schemes subject to the worst case SINR constraints at the destination and the eavesdroppers. We solve the corresponding optimization problems as semi-definite programming (SDP) problems by rank relaxation and S-procedure. Numerical results show that AN injection at the relays significantly reduces the average total transmit power required to meet the worst case SINR constraints, and improves the solution feasibility of the optimization problems.
This paper presents an investigation of the physical layer secrecy outage performance of the cooperative system in the typical four-node (source, relay, destination, and eavesdropper) scenario with imperfect channel state information (CSI). Specifically, we consider the single-input multiple-output wiretap channels, where the source (S) and the relay (R) are equipped with a single antenna, and the destination (D) and the eavesdropper (E) are equipped with multiple antennas. D and E adopt maximal ratio combining to process multiple copies of signals, and the relay adopts decode-and-forward (DF) and randomize-and-forward (RF) schemes to forward the received signal to the destination. E overhears the information transmitted over both the S-R and R-D links. We derive the closed-form and asymptotic expressions for the secrecy outage probability under both the DF and RF schemes with imperfect CSI, respectively, the accuracy of which is verified by simulation results.
In this paper, we derive and compare the performance of relay selection strategies presence of an active adversary under a cooperative setting. The system consists of a source, a destination, multiple decode-and-forward relays and an active eavesdropper. These DF relays correctly decode source message, if their signal-to-noise ratio is above a certain threshold. The channels experience independent but not identical Rayleigh fading. We assume both source and eavesdropper can exploit direct and relaying channel. Two relay selection schemes are performed by the eavesdropper, which is assumed to be a part of the system and active. A conventional all-performing relays (using maximal ratio combining) scheme is compared with the above mentioned schemes. We obtain closed-form expressions for the secrecy outage probability of these three strategies. An asymptotic analysis is presented only when relay selection is performed by the eavesdropper. From numerical results, it is observed that relay selection performed by the active eavesdropper proves to be the worst from the perspective of legitimate receiver. Also restriction on either of the two hops results in flooring of secrecy performance.