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Artificial noise design for secure multi-relay networks over generalized fading channels

Ying Liu, George C. Alexandropoulos, Liang Li, Marius Pesavento

Published May 1, 2016• 0 citations
Publisher

Abstract

Recent information theoretic results have shown that interference can be exploited in wireless relay-assisted networks to secure the information communicated between two legitimate network nodes from the potentially untrusted nodes. In this paper, we consider a two-hop multi-relay network with untrusted relays, where the destination node, aiming at securing the source node's information signal, designs and broadcasts artificial noise (AN) symbols to jam the reception by the multiple relays. By focusing on the case where long-term channel state information is available at the destination, the objective of the considered AN design is to increase the decoding error probability at all the relays. Given an average power constraint at the destination, we propose a unified AN scheme to optimally generate the phase and the power of the AN symbols to maximize the minimum average symbol error rate (ASER) at the relays. The proposed AN generation scheme accounts for practical modulations, such as square quadrature amplitude modulation and M-ary phase-shift-keying. In addition, it is not restricted to specific channel fading model. Numerical and simulation results clearly show that the proposed scheme achieves considerably higher ASER performance than various AN generations, including the frequently used Gaussian distribution.

DOI
10.1109/ict.2016.7500434

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Recent information theoretic results have shown that interference can be exploited in wireless relay-assisted networks to secure the information communicated between two legitimate network nodes from the potentially untrusted nodes. In this paper, we consider a two-hop multi-relay network with untrusted relays, where the destination node, aiming at securing the source node's information signal, designs and broadcasts artificial noise (AN) symbols to jam the reception by the multiple relays. By focusing on the case where long-term channel state information is available at the destination, the objective of the considered AN design is to increase the decoding error probability at all the relays. Given an average power constraint at the destination, we propose a unified AN scheme to optimally generate the phase and the power of the AN symbols to maximize the minimum average symbol error rate (ASER) at the relays. The proposed AN generation scheme accounts for practical modulations, such as square quadrature amplitude modulation and M-ary phase-shift-keying. In addition, it is not restricted to specific channel fading model. Numerical and simulation results clearly show that the proposed scheme achieves considerably higher ASER performance than various AN generations, including the frequently used Gaussian distribution.
We apply the concept of artificial and controlled interference in a two-hop relay network with an untrusted relay, aiming at enhancing the wireless communication secrecy between the source and the destination node. In order to shield the square quadrature amplitude-modulated (QAM) signals transmitted from the source node to the relay, the destination node designs and transmits artificial noise (AN) symbols to jam the relay reception. The objective of our considered AN design is to degrade the error probability performance at the untrusted relay, for different types of channel state information (CSI) at the destination. By considering perfect knowledge of the instantaneous CSI of the source-to-relay and relay-to-destination links, we first present an analytical expression for the symbol error rate (SER) performance at the relay. Based on the assumption of an average power constraint at the destination node, we then derive the optimal phase and power distribution of the AN that maximizes the SER at the relay. Furthermore, we obtain the optimal AN design for the case where only statistical CSI is available at the destination node. For both cases, our study reveals that the Gaussian distribution is generally not optimal to generate AN symbols. The presented AN design takes into account practical parameters for the communication links, such as QAM signaling and maximum likelihood decoding.
We apply the concept of artificial and controlled interference in a triangular relay network with an untrusted relay aiming at enhancing the wireless communication secrecy between the source and the destination node. In order to shield the square quadrature amplitude modulated (QAM) signals transmitted from the source node to the relay, the destination node designs and transmits artificial noise (AN) symbols to jam the relay reception. The objective of our considered AN design is to degrade the error probability performance at the untrusted relay, for different types of channel state information (CSI) at the destination. By considering perfect knowledge of the instantaneous CSI of the source-to-relay and relay-to-destination links, we first present an analytical expression for the symbol error rate (SER) performance at the relay. Based on the assumption of an average power constraint at the destination node, we then derive the optimal phase and power distribution of the AN that maximizes the SER at the relay. Furthermore, we obtain the optimal AN design for the case where only statistical CSI is available at the destination node. For both cases, our study reveals that the Gaussian distribution is generally not optimal to generate AN symbols. In particular, the conducted numerical results show that the Gaussian distributed AN is far from optimal. The presented AN design takes into account practical parameters for the communication links, such as QAM signaling and maximum likelihood decoding.
We apply the concept of artificial noise (AN) transmission in an untrusted relay network to enhance secure communication between the source and destination. Specifically, in addition to square quadrature amplitude modulated (QAM) signals broadcasted by the source, the relay simultaneously receives AN symbols designed and transmitted by the destination. For the relay, based on the assumption of additive white Gaussian noise, we derive the analytical symbol error rate (SER) expression, which is maximized for the optimal AN design. Under an average power constraint, we find the optimal phase and power distribution of the AN. Interestingly, our study shows that the Gaussian distribution is generally not optimal to generate AN and the results in this paper can be used as benchmarks for future analyses of AN-based techniques. More importantly, rather than conducting analysis from an information-theoretic perspective, our SER-based approach takes practical communication issues into account, such as QAM signalling.
In this article, a new relay-aided secure communication system is investigated, where a transmitter sends signals to a destination via an amplify-and-forward (AF) relay in the presence of an eavesdropper. We consider a general system configuration, where the source, relay, destination, and eavesdropper are all equipped with multiple antennas. In the practical scenarios of unknown eavesdropper's channel state information (CSI) and uncertainty of the eavesdropper's location, we aim to maximize the expected value of the system secrecy rate over the presumed distribution of the eavesdropper's channels, by exploiting the artificial noise (AN) transmitted by the source and relay nodes. The system design issue is formulated as a nonconvex stochastic optimization problem with a source transmission power constraint and a nonconvex relay transmission power constraint. A novel computational method is proposed to solve this challenging problem. The new method is developed based on an exact penalty function method together with a parallel stochastic decomposition algorithm. Numerical simulations are performed to study the effectiveness of the proposed scheme at various locations of the eavesdropper. Simulation results show that for most cases, secure communication can be achieved without the CSI knowledge of eavesdropper's channels, and the achievable secrecy rate follows the trend of a benchmark system where the eavesdropper's full CSI is available. In particular, the achievable system secrecy rate increases with the number of antennas at the legitimate users. Moreover, the optimal power allocated for the transmission of the AN increases with the system signal-to-noise ratio. The proposed computational method achieves a higher system secrecy rate than a conventional penalty function based approach.
Robust artificial noise (AN) aided secure precoding for an amplify-and-forward multiple-input multiple-output untrusted relay system is studied, where the relay is untrusted and willing to help forwarding multiple data streams from the source to destination. We consider that the available channel state information is imperfect and modeled by the worst case model. Our objective is to maximize the worst case secrecy rate under the robust transmit power constraints at the source and relay, by jointly designing the signal and AN precoding matrices at the source and the precoding matrix at the relay. The robust secure precoding problem is nonconvex and hard to solve. To overcome this difficulty, we propose the weighted minimum mean square error based method, where the signdefiniteness lemma is used to eliminate the channel uncertainties and an effective iterative optimization algorithm is developed. Simulation results are provided to demonstrate the effectiveness of the proposed scheme.
Physical-layer secure is an important issue for untrusted relay systems. In this paper, we investigate secure precoding design for non-regenerative multiple-input multiple-output untrusted two-way relay systems, where artificial noise (AN) is applied at the source and the relay is untrusted. We aim to maximize the secrecy sum rate by jointly designing the source's signal and AN precoders and the relay's precoder, under the sources and relay transmit power constraints. We consider two scenarios that perfect and imperfect channel state information of all the channels is available. For the former, we convert the secure precoding problem to a difference of convex programming and develop a constrained concave convex procedure based iterative algorithm which can obtain a local optimal solution. We also provide asymptotic analysis on the maximum secrecy sum rate when the relay transmit power approaches infinity, and propose alternating optimization method to compute asymptotic optimal precoders. For the latter, we model the channel uncertainties by using worst-case criterion and propose the weighted minimum mean square error based method to solve the robust secure precoding problem. Numerical simulations are presented to show the effectiveness of our proposed schemes.