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IEEE Latin-American Conference on Communications

Physical Layer Security in Underlay Cognitive Radio Networks Over $\alpha-\mu$ Fading Channels

Suneel Yadav, Devendra Singh Gurjar

Published Nov 18, 2020• 1 citation
Publisher

Abstract

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.

DOI
10.1109/latincom50620.2020.9282325

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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.
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.
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.
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, 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 paper investigates the physical-layer security (PLS) of a single-input-multiple-output (SIMO) underlay cognitive radio network (CRN) over cascaded$\kappa −-−\mu fadingchannels.Asecondaryuser(SU)transmittercommunicateswithasecondaryuserreceiverovercascadedfading channels. A secondary user (SU) transmitter communicates with a secondary user receiver over cascadedfadingchannels.Asecondaryuser(SU)transmittercommunicateswithasecondaryuserreceiverovercascaded\kappa −-−\mu channels.Moreover,aneavesdropperresidingintheSUstransmission’srangewouldbecapableofinterceptingtheSUs’transmission.TheSUdestinationandtheeavesdropperarebothassumedtobeequippedwithmultipleantennas.Bothofthereceiversadoptmaximal−ratiocombining(MRC)overthemultiplecopiesofthesignal.InanunderlayCRN,theSUtransmittershouldkeepadjustingthetransmissionpowertoensurenottodisturbtheprimaryusers’(PUs)transmission.PLSisanalyzedintermsofthesecrecyoutageprobability(SOP)andtheprobabilityofnon−zerosecrecycapacitychannels. Moreover, an eavesdropper residing in the SUs transmission’s range would be capable of intercepting the SUs’ transmission. The SU destination and the eavesdropper are both assumed to be equipped with multiple antennas. Both of the receivers adopt maximal-ratio combining (MRC) over the multiple copies of the signal. In an underlay CRN, the SU transmitter should keep adjusting the transmission power to ensure not to disturb the primary users’ (PUs) transmission. PLS is analyzed in terms of the secrecy outage probability (SOP) and the probability of non-zero secrecy capacitychannels.Moreover,aneavesdropperresidingintheSUstransmission’srangewouldbecapableofinterceptingtheSUs’transmission.TheSUdestinationandtheeavesdropperarebothassumedtobeequippedwithmultipleantennas.Bothofthereceiversadoptmaximal−ratiocombining(MRC)overthemultiplecopiesofthesignal.InanunderlayCRN,theSUtransmittershouldkeepadjustingthetransmissionpowertoensurenottodisturbtheprimaryusers’(PUs)transmission.PLSisanalyzedintermsofthesecrecyoutageprobability(SOP)andtheprobabilityofnon−zerosecrecycapacity(P_{nz})$. Results indicate the evident effect of the cascade level and the number of antennas at the eavesdropper over the secrecy of the SUs pair. In addition, results reveal that PLS can be strengthened by increasing the number of antennas at the legitimate receiver. The impact of the interference level tolerable by the PU receiver over SUs’ secrecy is also analyzed. Monte-Carlo simulations and analytical results are presented to assess the system performance.
In this paper, the physical layer security of a dual-hop underlay uplink cognitive radio network is investigated over Nakagami-m fading channels. Specifically, multiple secondary sources (Si)1≤2≤Nare taking turns in accessing the licensed spectrum of the primary users and communicating with a multi-antenna secondary base station (D) through the aid of a multi-antenna relay R in the presence of M eavesdroppers (Ek)1≤k≤Mthat are also equipped with multiple antennas. Among the remaining nodes, one jammer is randomly selected to transmit an artificial noise to disrupt all the eavesdroppers that are attempting to intercept the communication of the legitimate links, i.e., Si-R and R-D. The received signals at each node are combined using maximum-ratio combining. Secrecy analysis is provided by deriving closed-form and asymptotic expressions for the secrecy outage probability. The impact of several key parameters on the system's secrecy, e.g., transmit power of the sources, number of eavesdroppers, maximum tolerated interference power, and the number of diversity branches is investigated. Importantly, by considering two scenarios, namely (i) absence and (ii) presence of a friendly jammer, new insights are obtained for the considered communication system. Especially, we tend to answer to the following question: Can better secrecy be achieved without jamming by considering a single antenna at eavesdroppers and multiple-ones at the legitimate users (i.e., relay and end-user) rather than sending permanently an artificial noise and considering that both the relay and the destination are equipped with a single antenna, while multiple antennas are used by the eavesdroppers? The obtained results are corroborated through Monte Carlo simulation and show that the system's security can be enhanced by adjusting the aforementioned parameters.