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Istanbul University - Journal of Electrical & Electronics Engineering

Secrecy Capacity Analysis of an Underlay Cognitive Radio Network in the Presence of Co-channel and Primary Network Interference

Emre Bayat, Sultan Aldırmaz-Çolak

Published Jan 19, 2021• 3 citations
Publisher

Abstract

This study investigates the impact of primary network and co-channel interference on the secrecy outage probability and strictly positive secrecy capacity of an underlay cognitive decode-and-forward relay network in Rayleigh fading channels. We consider a single eavesdropper node that tries to steal the transmitted signal at each hop. The secrecy outage probability and the strictly positive secrecy capacity are theoretically derived as a function of the interference sources and fading channels, which has not been studied in the literature. The theoretical results are validated with Monte Carlo simulation results. Consequently, the results show that the secrecy outage probability and the strictly positive secrecy capacity drastically degrade when the number of co-channel interference sources and the PN interference power increase. Cite this article as: Bayat E, Aldırmaz Çolak S. Secrecy Capacity Analysis of an Underlay Cognitive Radio Network in the Presence of Co-channel and Primary Network Interference. Electrica, 2021; 21(1): 105-114.

DOI
10.5152/electrica.2021.20054

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In this paper, the physical layer security in cognitive radio networks (CRNs) is investigated. We consider an underlay relay assisted CRN consisting of multiple secondary sources, multiple-antenna destination, a single relay, and multiple eavesdroppers. The destination node performs the maximal-ratio combining under uncorrelated Rayleigh fading channels. In more details, we consider, a secondary source is randomly selected to transmit its data, and a jammer is chosen from the remaining source nodes to send a jamming signal to the eavesdroppers. The closed-form expression of the secrecy outage probability is derived, based on the statistical characteristics of the communication channels, under the primary user's quality of service constraint. The derived analysis gives deep insights into the impact of network parameters on the performance of on the secrecy outage performance. Analytic results are corroborated through Monte Carlo simulation.
This work explores the physical layer security of an underlay cognitive radio network (CRN) in the presence of a powerful interferer called a primary transmitter (PT) under peak interference power constraint. Under this scenario, the secondary transmitter (Alice) transmits secret information on a single antenna with the highest signal-to-interference plus noise ratio (SINR) to a legitimate receiver (Bob), and an eavesdropper (Eve) attempts to intercept that information. Depending upon the availability of channel state information (CSI) of the eavesdropper channel, we investigate the secrecy performance of the proposed network in the Rayleigh fading environment for both passive and active eavesdropping scenarios. We obtain analytical expressions for the secrecy outage probability, intercept probability, andϵ\epsilonϵ-outage secrecy capacity in a passive eavesdropping scenario. A complete investigation of the average secrecy capacity (ASC) has been made, and novel expressions for the exact and asymptotic ASC have been obtained for active eavesdropping. Bolstering these results, we also define a high SINR power offset, which quantifies the significance of main system parameters on the ASC explicitly. Further, the effect of outdated CSI of Alice to primary receiver link on the various performance metrics with the concept of interference-outage is also studied.
This paper investigates the secrecy performance of a single-input multiple-output (SIMO) based underlay cognitive radio networks. In particular, a single-antenna secondary transmitter transmits its secret message to a multi-antenna equipped secondary node in the presence of a multi-antenna equipped passive eavesdropper under a peak interference constraint at the single-antenna primary receiver. We proficiently derive the expressions for secrecy outage probability (SOP), intercept probability, and ergodic secrecy capacity (ESC) for the considered system over$\alpha -\mu fadingchannels.Further,wecarryouttheasymptoticanalysisofSOPandinterceptprobabilityundertwocasesofinterest;1)whentheaveragesignal−to−noiseratio(SNR)ofthemainlink,i.e.,betweenthesecondarysourceandsecondarydestination,goestoinfinitywithafixedaverageSNRofwiretaplinkbetweenthesecondarysourceandsecondaryeavesdropper,and2)whentheSNRsofboththemainandwiretaplinkstendtoinfinity.Wecaninferthatasecrecydiversityorderoffading channels. Further, we carry out the asymptotic analysis of SOP and intercept probability under two cases of interest; 1) when the average signal-to-noise ratio (SNR) of the main link, i.e., between the secondary source and secondary destination, goes to infinity with a fixed average SNR of wiretap link between the secondary source and secondary eavesdropper, and 2) when the SNRs of both the main and wiretap links tend to infinity. We can infer that a secrecy diversity order offadingchannels.Further,wecarryouttheasymptoticanalysisofSOPandinterceptprobabilityundertwocasesofinterest;1)whentheaveragesignal−to−noiseratio(SNR)ofthemainlink,i.e.,betweenthesecondarysourceandsecondarydestination,goestoinfinitywithafixedaverageSNRofwiretaplinkbetweenthesecondarysourceandsecondaryeavesdropper,and2)whentheSNRsofboththemainandwiretaplinkstendtoinfinity.Wecaninferthatasecrecydiversityorderof\frac {\alpha _{D}N_{D}\mu _{D}}{2}canbeachievedundercase1,wherecan be achieved under case 1, wherecanbeachievedundercase1,where\alpha _{D}andandand\mu _{D}arethemainlinkfadingparameters,andare the main link fading parameters, andarethemainlinkfadingparameters,andN_{D}$denotes the number of antennas at the destination. Whereas, under case 2, the system’s secrecy diversity order becomes zero. Moreover, we also present some interesting findings for the ESC when the interference constrained secondary transmitter power is considerably high. Further, we validate our analytical framework through extensive simulation and numerical results, and demonstrate the effects of system/channel parameters on the secrecy performance of the considered system. Our results reveal that the higher number of eavesdropper antennas can have a more deleterious impact on the system’s secrecy performance.
In this paper, we study the physical layer security for underlay cognitive radio network in the presence of an eavesdropper that tries to intercept the secondary transmission. Specifically, a transmission at each hop uses a same frequency band of a primary user as long as the interference that caused by the secondary transmission at a primary receiver does not excess a maximum tolerable interference level. We investigate the secrecy outage probability (SOP) for a cognitive decode-and-forward (DF) relay network. Moreover, we drive a closed-form expression of the SOP of the considered system. Simulation results validate our theoretical results under three distinct cases as follows: the signal-to-noise ratio (SNR) of the main link between a secondary transmitter and a corresponding receiver is, respectively, smaller, equal to, or larger than the SNR of the eavesdropper link between the same secondary transmitter and the eavesdropper.
Physical Layer Security in Underlay Cognitive Radio Networks Over α−μ\alpha-\muα−μ Fading Channels
This paper investigates physical layer security of underlay cognitive radio networks with interference constraint over α-μ fading channels. Specifically, in the secondary network, a secondary source sends its confidential information to a secondary destination in the presence of a passive eavesdropper, under the constraint imposed by the primary receiver in the primary network. Specifically, we derive the exact expressions of intercept probability and ergodic secrecy capacity (ESC) for the considered system under α-μ fading channels. To extract more valuable insights, we also present the asymptotic analysis of intercept probability, which reveals that the system secrecy diversity order only depends on the fading parameters of the secondary source-secondary destination link, not on the fading parameters associated with the secondary source-secondary eavesdropper link and secondary source-primary receiver link. We also present some key observations for ESC when secondary source power with interference constraint is very large. The numerical and simulation results corroborate the validity of our analytical framework, and show the effects of channel parameters on the system secrecy performance.
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