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IEEE Transactions on Network Science and Engineering

Secrecy Performance of Underlay Cognitive Radio Networks With Primary Interference

Shilpa Thakur, Ajay Singh

Published Apr 22, 2022• 15 citations
Publisher

Abstract

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, and$\epsilon$-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 Further, the effect of outdated CSI of Alice to primary receiver link on the various performance metrics with the concept of interference-outage is also studied.

DOI
10.1109/tnse.2022.3168268

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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.
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.
The presence of correlated and imperfect channel state information (CSI) affects the secrecy performance of cognitive radio networks (CRN). In this paper, we propose a physical layer security analysis of underlay CRN in terms of secrecy outage probability (SOP), average secrecy rate (ASR), and amount of secrecy loss (ASL). Closed forms of SOP, ASR, and ASL are provided over imperfect CSI of Rayleigh fading environment where the legitimate channel is correlated with the eavesdropper channel. The analytical results are compared with the simulation results. The work is also compared with existing work. It has been observed that the secrecy performance of the network improves as peak interference power increases, and the correlation positively impacts the secrecy performance at a medium-to-high signal-to-noise ratio (SNR); however, it degrades the data security capability of the network at low SNR. Furthermore, asymptotic analysis shows that the secrecy performance of the network improves with the growing correlation between legitimate and eavesdropper channels when the SNR of the legitimate channel is much higher than that of the eavesdropper channel, whereas secrecy performance decreases with a reducing correlation when the SNR of the legitimate channel is approximately equal to SNR of eavesdropper channel.
We have examined the physical layer security of an underlay cognitive radio network (CRN) consisting of L legitimate receivers ( STX), a secondary transmitter ( STX), an eavesdropper (Eve), and a primary user (PU). All SRX and the PU are equipped with a single antenna while the STX and Eve are implemented with multiple antennas. The optimal antenna selection scheme (OAS) is adopted at the STX, which maximizes the secrecy capacity while a generalized receiver selection scheme is adopted at the SRX. The STX sends information to the SRX with the lthbest signal to noise ratio (SNR). The concise expressions for exact and asymptotic secrecy outage probability (SOP) for an arbitrary number of SRX, number of transmit antenna NA, and number of eavesdropper antenna NE have derived.
In this paper, physical-layer security (PLS) for an underlay cognitive radio network (CRN) over cascaded Rayleigh fading channels is studied. The underlying cognitive radio system consists of a secondary source transmitting to a destination over a cascaded Rayleigh fading channel. An eavesdropper is attempting to intercept the confidential information of the secondary users (SUs) pair. The secrecy is studied in terms of three main security metrics, which are the secrecy outage probability (SOP), the probability of non-zero secrecy capacity (Prnzc), and the intercept probability (Pint). The effects of the path loss and the variation of the distances from the SU transmitter over the secrecy are also analyzed. Results reveal the great effect of the cascade level over the system secrecy. In addition, the effect of varying the interference threshold that the PU receiver can tolerate over the secrecy of the SUs pair is studied. The effect of the channel model parameters of both the main and the wiretap channels is investigated using both simulation and analytical results.
In this paper, we investigate the secrecy outage probability (SOP) for the cooperative decode-and-forward (DF) underlay cognitive radio networks (CRNs). Duo to the spectrum sharing approach in underlay CRNs, the secondary transmitters (secondary source (SUS) and secondary relay (SUR)) are subjected to interference power constraint at primary user (PU), and the SU receivers (SURand secondary destination (SUD)) suffer from the co-channel interferences (CCIs) from PU. We focus on the practical scenario where the SU transmitter has no channel state information (CSI) of the eavesdropper's channel. Interference-power-confined selection scheme is proposed for the cooperative DF CRNs in the presence of an eavesdropper. The proposed scheme selects the “best” terminal (SUSor SUR) to enhance the secure performance which must firstly satisfy the interference power constraint. What's more, the effect of feedback delay on the selection scheme is studied. We derive an exact closed-form expression for the SOP. Simulation results validate our theoretical analysis and show that the proposed selection scheme determinately enhance the performance, and feedback delay decreases the SOP seriously, specially, the interference power constraint hugely confine the SOP.