Similar articles

Abstract: This article is focused on secure relay beamformer design with a correlated channel model in the relay-eavesdropper network. In this network, a single-antenna source-destination pair transmits secure information with the help of an amplify-and-forward (AF) relay equipped with multiple antennas, and the legitimate and eavesdropping channels are correlated. The relay cannot obtain the instantaneous channel state information (CSI) of the eavesdropper, and has only the knowledge of correlation information between the legitimate and eavesdropping channels. Depending on this information, we derive the conditional distribution of the eavesdropping channel. Two beamformers at the relay are studied for the approximate ergodic secrecy rate: (1) the generalized match-and-forward (GMF) beamformer to maximize the legitimate channel rate, and (2) the general-rank beamformer (GRBF). In addition, one lower-bound-maximizing (LBM) beamformer at the relay is discussed for maximizing the lower bound of the ergodic secrecy rate. We find that the GMF beamformer is the optimal rank-one beamformer, that the GRBF is the iteratively optimal beamformer, and that the performance of the LBM beamformer for the ergodic secrecy rate gets close to that of the GRBF for the approximate secrecy rate. It can also be observed that when the relay has lower power or the channel gain of the second hop is low, the performance of the GMF beamformer surpasses that of the GRBF. Numerical results are presented to illustrate the beamformers’ performance.

基于相关信道模型的两跳无线网络安全通信研究

[1]Barkat, M., 2005. Signal Detection and Estimation. Artech House.

[2]Chen, L., 2011. Physical layer security for cooperative relaying in broadcast networks. Military Communications Conf., p.91-96.

[3]Cheng, X., Wang, C., Wang, H., et al., 2012. Cooperative MIMO channel modeling and multi-link spatial correlation properties. IEEE J. Sel. Areas Commun., 30(2):388-396.

[4]Choi, J., 2016. A robust beamforming approach to guarantee instantaneous secrecy rate. IEEE Trans. Wirel. Commun., 15(2):1076-1085.

[5]Csiszár, I., Korner, J., 1978. Broadcast channels with confidential messages. IEEE Trans. Inform. Theory, 24(3):339-348.

[6]Dong, L., Han, Z., Petropulu, A.P., et al., 2010. Improving wireless physical layer security via cooperating relays. IEEE Trans. Signal Process., 58(3):1875-1888.

[7]Ferdinand, N.S., da Costa, D.B., de Almeida, A.L.F., et al., 2014. Physical layer secrecy performance of TAS wiretap channels with correlated main and eavesdropper channels. IEEE Wirel. Commun. Lett., 3(1):86-89.

[8]Geraci, G., Al-Nahari, A.Y., Yuan, J., et al., 2013. Linear precoding for broadcast channels with confidential messages under transmit-side channel correlation. IEEE Commun. Lett., 17(6):1164-1167.

[9]Ghose, S., Bose, R., 2013. Power allocation strategy using node cooperation for transmit power minimization under correlated fading. National Conf. on Communications, p.1-5.

[10]Kim, A.Y., Cho, H.N., Lee, J.W., et al., 2009. Allocation of transmit power in spatially-correlated dual-hop MIMO relay channels. 9th Int. Symp. on Communications and Information Technology, p.332-336.

[11]Kobayashi, M., Caire, G., 2007. Joint beamforming and scheduling for a multi-antenna downlink with imperfect transmitter channel knowledge. IEEE J. Sel. Areas Commun., 25(7):1468-1477.

[12]Krikidis, I., 2010. Opportunistic relay selection for cooperative networks with secrecy constraints. IET Commun., 4(15):1787-1791.

[13]Lee, J.H., 2015. Cooperative relaying protocol for improving physical layer security in wireless decode-and-forward relaying networks. Wirel. Pers. Commun., 83(4):3033-3044.

[14]Leung-Yan-Cheong, S., Hellman, M.E., 1978. The Gaussian wire-tap channel. IEEE Trans. Inform. Theory, 24(4):451-456.

[15]Li, J., Petropulu, A.P., Weber, S., 2011. On cooperative relaying schemes for wireless physical layer security. IEEE Trans. Signal Process., 59(10):4985-4997.

[16]Luo, Z., Ma, W.K., So, A.M.C., et al., 2010. Semidefinite relaxation of quadratic optimization problems. IEEE Signal Process. Mag., 27(3):20-34.

[17]Magnus, J.R., Neudecker, H., 1988. Matrix Differential Calculus with Applications in Statistics and Econometrics. Wiley.

[18]McKay, M.R., Collings, I.B., 2005. General capacity bounds for spatially correlated Rician MIMO channels. IEEE Trans. Inform. Theory, 51(9):3121-3145.

[19]Tulino, A.M., Lozano, A., Verdu, S., 2005. Impact of antenna correlation on the capacity of multiantenna channels. IEEE Trans. Inform. Theory, 51(7):2491-2509.

[20]Wang, X., Wang, K., Zhang, X., 2013. Secure relay beamforming with imperfect channel side information. IEEE Trans. Veh. Technol., 62(5):2140-2155.

[21]Wang, X., Su, Z., Wang, G., 2015. Relay selection for secure backscatter wireless communications. Electron. Lett., 51(12):951-952.

[22]Wyner, A.D., 1975. The wire-tap channel. Bell Syst. Techn. J., 54(8):1355-1387.

[23]Yin, X., Cheng, X., 2016. Propagation Channel Characterization, Parameter Estimation, and Modeling for Wireless Communications. Wiley-IEEE Press.

[24]Yuan, Z., Chen, C., Bai, L., et al., 2016. Secure relay beamforming with correlated channel models in dual-hop wireless communication networks. IEEE GLOBECOM, p.1-6.

[25]Zhang, M., Wen, M., Cheng, X., et al., 2016. A dual-hop virtual MIMO architecture based on hybrid differential spatial modulation. IEEE Trans. Wirel. Commun., 15(9):6356-6370.

[26]Zhang, R., Cheng, X., Yang, L., 2016a. Cooperation via spectrum sharing for physical layer security in device-to-device communications underlaying cellular networks. IEEE Trans. Wirel. Commun., 15(8):5651-5663.

[27]Zhang, R., Cheng, X., Yang, L., 2016b. Joint power and access control for physical layer security in D2D communications underlaying cellular networks. IEEE Int. Conf. on Communications, p.1-6.