This paper considers a secure nonorthogonal multiple access system, where confidential messages are transmitted from a base station to multiple legitimate destinations and wiretapped by multiple illegitimate receivers. It is assumed that all the channels experience a Nakagami-m fading model and all the nodes are equipped with multiple antennas, respectively. Both noncolluding and colluding eavesdroppers are considered, respectively. A max-min (MM) transmit antenna selection (TAS) strategy is adopted to improve the secrecy performance of the target system, in which both users in user paring are considered simultaneously. In particular, closed-form expressions for the cumulative distribution function of the signal-to-interference-noise ratio at the legitimate user are derived first. Then, we obtain the exact and asymptotic analytical results in a closed form for the secrecy outage probability of an MM TAS scheme. Monte Carlo simulation results are presented to corroborate the correctness of the analysis. The results show that the secrecy diversity order is zero and nonzero for fixed and dynamic power allocations, respectively.
This paper considers a secure nonorthogonal multiple access system, where confidential messages are transmitted from a base station to multiple legitimate destinations and wiretapped by multiple illegitimate receivers. It is assumed that all the channels experience a Nakagami-m fading model and all the nodes are equipped with multiple antennas, respectively. Both noncolluding and colluding eavesdroppers are considered, respectively. A max-min (MM) transmit antenna selection (TAS) strategy is adopted to improve the secrecy performance of the target system, in which both users in user paring are considered simultaneously. In particular, closed-form expressions for the cumulative distribution function of the signal-to-interference-noise ratio at the legitimate user are derived first. Then, we obtain the exact and asymptotic analytical results in a closed form for the secrecy outage probability of an MM TAS scheme. Monte Carlo simulation results are presented to corroborate the correctness of the analysis. The results show that the secrecy diversity order is zero and nonzero for fixed and dynamic power allocations, respectively.
In this paper, we consider a multi-input multioutput (MIMO) nonorthogonal multiple access (NOMA) network consisting of one source and two legitimate users (LUs), so-called near and far users according to their distances to the source, and one passive eavesdropper, over Nakagami-m fading channels. Specifically, we investigate the cases where the signals of the far user might or might not be successfully decoded at the eavesdropper and the near user. Thus, we aim to design a transmit antenna selection (TAS) secure communication protocol for the network; where, two TAS solutions, namely Solutions I and II, are proposed. Specifically, Solutions I and II focus on maximizing the received signal power between the source and the near user, and between the source and the far user, respectively. Accordingly, exact and asymptotic closed-form expressions for the secrecy outage probability of the LUs and the overall system are derived. Our analytical results corroborated by the Monte Carlo simulation indicate that the secrecy performance could be significantly improved by properly selecting the power allocation coefficients and increasing the number of antennas at the source and the LUs. Interestingly, solution II is shown to provide a better overall secrecy performance over solution I.
This paper investigates the secrecy performance of a two-user downlink non-orthogonal multiple access systems. Both single-input and single-output and multiple-input and single-output systems with different transmit antenna selection (TAS) strategies are considered. Depending on whether the base station has the global channel state information of both the main and wiretap channels, the exact closed-form expressions for the secrecy outage probability (SOP) with suboptimal antenna selection and optimal antenna selection schemes are obtained and compared with the traditional space-time transmission scheme. To obtain further insights, the asymptotic analysis of the SOP in high average channel power gains regime is presented and it is found that the secrecy diversity order for all the TAS schemes with fixed power allocation is zero. Furthermore, an effective power allocation scheme is proposed to obtain the non-zero diversity order with all the TAS schemes. Monte Carlo simulations are performed to verify the proposed analytical results.
This paper considers transmit antenna selection (TAS) and receive generalized selection combining (GSC) for secure communication in the multiple-input-multiple-output wiretap channel, where confidential messages transmitted from an NA-antenna transmitter to an NB-antenna legitimate receiver are overheard by an NE-antenna eavesdropper. We assume that the main channel and the eavesdropper's channel undergo Nakagami-m fading with fading parameters mB and mE, respectively. In order to assess the secrecy performance, we present a new unifying framework for the average secrecy rate and the secrecy outage probability. We first derive expressions for the probability density function and the cumulative distribution function of the signal-to-noise ratio with TAS/GSC, from which we derive exact expressions for the average secrecy rate and the secrecy outage probability. We then derive compact expressions for the asymptotic average secrecy rate and the asymptotic secrecy outage probability for two distinct scenarios: 1) the legitimate receiver is located close to the transmitter, and 2) the legitimate receiver and the eavesdropper are located close to the transmitter. For these scenarios, we present new closed-form expressions for several key performance indicators: 1) the capacity slope and the power offset of the asymptotic average secrecy rate, and 2) the secrecy diversity order and the secrecy array gain of the asymptotic secrecy outage probability. For the first scenario, we confirm that the capacity slope is one and the secrecy diversity order is mBNBNA. For the second scenario, we confirm that the capacity slope and the secrecy diversity order collapse to zero.
In this paper, we studied a multi-input multi-output (MIMO) non-orthogonal multiple access (NOMA) network consisting of one source and two legitimate users (LUs), so-called near and far users according to their distances to the source, and one passive eavesdropper, over Nakagami-\textit{m} fading channel. Specifically, we investigated the scenario that the signals of the far user might or might not be decoded successfully at the eavesdropper and the near user. Thus, we aimed at designing a transmit antenna selection (TAS) secure communication protocol for the network. Then, two TAS solutions, namely Solutions I and II, were proposed. Specifically, solutions I and II focus on maximizing the received signal power between the source and the near user, and between the source and the far user, respectively. Accordingly, the exact and asymptotic closed-form expressions of the secrecy outage probability for the LUs and the overall system were derived. Our analytical results corroborated by Monte Carlo simulation indicate that the secrecy performance could be significantly improved by properly selecting power allocation coefficients and increasing the number of antennas at the source and the LUs. Interestingly, solution II could provide a better overall secrecy performance over solution I.
This paper considers transmit antenna selection (TAS) and receive generalized selection combining (GSC) for secure communication in MIMO wiretap channel, where confidential messages transmitted from an NA-antenna transmitter to an NB-antenna legitimate receiver are overheard by an NE-antenna eavesdropper. We assume that the main channel and the eavesdropper's channel undergo Nakagami-m fading with fading parameters mBand mE, respectively. In an effort to assess the secrecy performance, we present a closed-form expression for the secrecy outage probability. We then derive closed-form expressions for the secrecy outage probability at high signal-to-noise ratio (SNR) for two realistic scenarios: 1) the legitimate receiver is located close to the transmitter, and 2) the legitimate receiver and the eavesdropper are located close to the transmitter. In the first scenario, we confirm that the secrecy diversity order is mBNBNA. In the second scenario, we confirm that the secrecy diversity order collapses to zero. While this may appear discouraging at a first glance, we show that low secrecy outage probability can still be achieved.
This paper investigates the secrecy performance of multiple-input single-output (MISO) wiretap channels with transmit antenna selection (TAS) and subject to an interference-limited eavesdropper. By considering NAantennas at the transmitter, a single antenna at the legitimate receiver and eavesdropper, and multiple arbitrary co-channel interferers M at the eavesdropper, an exact closed-form expression for the secrecy outage probability is derived. The exact expression is simplified for two, yet novel, special cases. Based on these analytical expressions, an asymptotic secrecy outage analysis is carried out and it shows that the diversity order of the considered system equals to min(NA, M). The proposed analysis is corroborated through Monte Carlo simulation results. Illustrative numerical examples are depicted and insightful discussions are drawn. It is shown that the secrecy outage performance is largely limited by the number of interference channels and the number of transmit antennas due to diversity gain.