Joint Secure AF Relaying and Artificial Noise Optimization: A Penalized Difference-of-Convex Programming Framework

IEEE Access

Volumn 4, Issue , 2016, Pages 10076-10095

  Yang, Jiaxin ^a   Li, Qiang ^b   Cai, Yunlong ^c   Zou, Yulong ^d   Hanzo, Lajos ^e   Champagne, Benoit ^a  

^a MCGILL UNIVERSITY   (Canada)

^b UNIVERSITY OF ELECTRONIC SCIENCE AND TECHNOLOGY OF CHINA   (China)

^c ZHEJIANG UNIVERSITY   (China)

^d The National and Local Joint Engineering Laboratory of RF Integration and Micro Assembly Technology   (China)

^e UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

Amplify And forward; difference of convex; eavesdropping; multiple input multiple output; physical layer security; relaying; robust optimization

Indexed keywords

CODES (SYMBOLS); COMMUNICATION CHANNELS (INFORMATION THEORY); COMPLEX NETWORKS; CONVEX OPTIMIZATION; COVARIANCE MATRIX; ELECTRIC RELAYS; FEEDBACK CONTROL; NETWORK LAYERS; OPTIMIZATION; SIGNAL PROCESSING; SIGNAL TO NOISE RATIO; TELECOMMUNICATION LINKS; TELECOMMUNICATION REPEATERS;

AMPLIFY AND FORWARD; DIFFERENCE-OF-CONVEX; EAVESDROPPING; PHYSICAL LAYER SECURITY; RELAYING; ROBUST OPTIMIZATION;

MIMO SYSTEMS;

EID: 85015214412     PISSN: None     EISSN: 21693536     Source Type: Journal    
DOI: 10.1109/ACCESS.2016.2628808     Document Type: Article

References (44)

1. "Mobile cyber threats: Kaspersky Lab & INTERPOL joint report, '' INTERPOL Kaspersky Lab., Tech. Rep., Oct. 2014.
2. C. Timberg. (Dec. 2014). German Researchers Discover a Flaw That Could Let Anyone Listen to Your Cell Calls, The Switch, Washington, DC, USA. [online]. Available: https://www.washingtonpost.com/news/theswitch/wp/2014/12/18/german-researchers-discover-A-flaw-That-couldlet-Anyone-listen-To-your-cell-calls-And-read-your-Texts/
3. A. D. Wyner, "The wire-Tap channel, '' Bell Syst. Tech. J., vol. 54, no. 8, pp. 1355-1387, 1975.
4. Y. Liang, H. V. Poor, and S. Shamai (Shitz), "Information theoretic security, '' Found. Trends Commun. Inf. Theory, vol. 5, nos. 4-5, pp. 355-580, 2008.
5. Y.-W. P. Hong, P.-C. Lan, and C.-C. J. Kuo, "Enhancing physical-layer secrecy in multiantenna wireless systems: An overview of signal processing approaches, '' IEEE Signal Process. Mag., vol. 30, no. 5, pp. 29-40, Sep. 2013.
6. A. Mukherjee, S. A. A. Fakoorian, J. Huang, and A. L. Swindlehurst, "Principles of physical layer security in multiuser wireless networks: A survey, '' IEEE Commun. Surveys Tut., vol. 16, no. 3, pp. 1550-1573, 3rd Quart., 2014.
7. C. Xing, S. Ma, and Y.-C. Wu, "Robust joint design of linear relay precoder and destination equalizer for dual-hop amplify-And-forward MIMO relay systems, '' IEEE Trans. Signal Process., vol. 58, no. 4, pp. 2273-2283, Apr. 2010.
8. Y. Rong, X. Tang, and Y. Hua, "A unified framework for optimizing linear nonregenerative multicarrier MIMO relay communication systems, '' IEEE Trans. Signal Process., vol. 57, no. 12, pp. 4837-4851, Dec. 2009.
9. Z. Ho and E. Jorswieck, "Signal leakage neutralisation in instantaneous non-regenerative relaying networks under channel uncertainty, '' IET Com-mun., vol. 8, no. 8, pp. 1285-1295, May 2014.
10. L. Lai and H. El Gamal, "The relay-eavesdropper channel: Cooperation for secrecy, '' IEEE Trans. Inf. Theory, vol. 54, no. 9, pp. 4005-4019, Sep. 2008.
11. H.-M. Wang and X.-G. Xia, "Enhancing wireless secrecy via cooperation: Signal design and optimization, '' IEEE Commun. Mag., vol. 53, no. 12, pp. 47-53, Dec. 2015.
12. L. Dong, Z. Han, A. P. Petropulu, and H. V. Poor, "Improving wireless physical layer security via cooperating relays, '' IEEE Trans. Signal Pro-cess., vol. 58, no. 3, pp. 1875-1888, Mar. 2010.
13. J. Li, A. P. Petropulu, and S. Weber, "On cooperative relaying schemes for wireless physical layer security, '' IEEE Trans. Signal Process., vol. 59, no. 10, pp. 4985-4997, Oct. 2011.
14. H. Deng, H. M. Wang, W. Guo, and W. Wang, "Secrecy transmission with a helper: To relay or to jam, '' IEEE Trans. Inf. Forensics Security, vol. 10, no. 2, pp. 293-307, Feb. 2015.
15. Y. Yang, Q. Li, W.-K. Ma, J. Ge, and P. C. Ching, "Cooperative secure beamforming for AF relay networks with multiple eavesdroppers, '' IEEE Signal Process. Lett., vol. 20, no. 1, pp. 35-38, Jan. 2013.
16. H.-M. Wang, F. Liu, and X.-G. Xia, "Joint source-relay precoding and power allocation for secure amplify-And-forward MIMO relay networks, '' IEEE Trans. Inf. Forensics Security, vol. 9, no. 8, pp. 1240-1250, Aug. 2014.
17. C. Jeong, I.-M. Kim, and D. Kim, "Joint secure beamforming design at the source and the relay for an amplify-And-forward MIMO untrusted relay system, '' IEEE Trans. Signal Process., vol. 60, no. 1, pp. 310-325, Jan. 2012.
18. S. Vishwakarma and A. Chockalingam, "Amplify-And-forward relay beamforming for secrecy with cooperative jamming and imperfect CSI, '' in Proc. IEEE Int. Conf. Commun. (ICC), Budapest, Hungry, Jun. 2013, pp. 3047-3052.
19. C. Zhang, H. Gao, H. Liu, and T. Lv, "Robust beamforming and jamming for secure AF relay networks with multiple eavesdroppers, '' in Proc. IEEE Military Commun. Conf. (MILCOM), Baltimore, MD, USA, Oct. 2014, pp. 495-500.
20. X. Wang, K. Wang, and X.-D. Zhang, "Secure relay beamforming with imperfect channel side information, '' IEEE Trans. Veh. Technol., vol. 62, no. 5, pp. 2140-2155, Jun. 2013.
21. Q. Li, Y. Yang, W. K. Ma, M. Lin, J. Ge, and J. Lin, "Robust cooperative beamforming and artificial noise design for physical-layer secrecy in AF multi-Antenna multi-relay networks, '' IEEE Trans. Signal Process., vol. 63, no. 1, pp. 206-220, Jan. 2015.
22. K. Jayasinghe, P. Jayasinghe, N. Rajatheva, and M. Latva-Aho, "Secure beamforming design for physical layer network coding based MIMO two-way relaying, '' IEEE Commun. Lett., vol. 18, no. 7, pp. 1270-1273, Jul. 2014.
23. M. Zhang, J. Huang, H. Yu, H. Luo, andW. Chen, "QoS-based source and relay secure optimization design with presence of channel uncertainty, '' IEEE Commun. Lett., vol. 17, no. 8, pp. 1544-1547, Aug. 2013.
24. Z. Chu, K. Cumanan, M. Xu, and Z. Ding, "Robust secrecy rate optimisations for multiuser multiple-input-single-output channel with deviceto-device communications, '' IET Commun., vol. 9, no. 3, pp. 396-403, Feb. 2015.
25. C. Wang and H.-M. Wang, "Robust joint beamforming and jamming for secure AF networks: Low-complexity design, '' IEEE Trans. Veh. Technol., vol. 64, no. 5, pp. 2192-2198, May 2015.
26. H.-M. Wang, F. Liu, and M. Yang, "Joint cooperative beamforming, jamming, and power allocation to secure AF relay systems, '' IEEE Trans. Veh. Technol., vol. 64, no. 10, pp. 4893-4898, Oct. 2015.
27. J. Yang, B. Champagne, Q. Li, and L. Hanzo, "Secure MIMO AF relaying design: An intercept probability constrained approach, '' in Proc. IEEE Global Commun. Conf. (Globecom), San Diego, CA, USA, Dec. 2015, pp. 1-6.
28. Z.-Q. Luo, W.-K. Ma, A. M.-C. So, Y. Ye, and S. Zhang, "Semidefinite relaxation of quadratic optimization problems, '' IEEE Signal Process. Mag., vol. 27, no. 3, pp. 20-34, May 2010.
29. B. K. Sriperumbudur and G. R. Lanckriet, "On the convergence of the concave-convex procedure, '' in Proc. 22nd Adv. Neural Inf. Process. Syst., 2009, pp. 1759-1767.
30. A. Pascual-Iserte, D. P. Palomar, A. I. Perez-Neira, and M. A. Lagunas, "A robust maximin approach for MIMO communications with imperfect channel state information based on convex optimization, '' IEEE Trans. Signal Process., vol. 54, no. 1, pp. 346-360, Jan. 2006.
31. 3rd Generation Partnership Project; Technical Specification Group Radio Access Network; Study on LTE Device to Device Proximity Services; Radio Aspects (Release 12), document 3GPP TR 36.843 V12.0.1, Mar. 2014.
32. A. Goldsmith, Wireless Communications, 1st ed. Cambridge, U.K.: Cambridge Univ. Press, Aug. 2005.
33. R. Horst and N.V. Thoai, "DC programming: Overview, '' J. Optim. Theory Appl., vol. 103, no. 1, pp. 1-43, Oct. 1999.
34. U. Rashid, H. D. Tuan, H. H. Kha, and H. H. Nguyen, "Joint optimization of source precoding and relay beamforming in wireless MIMO relay networks, '' IEEE Trans. Commun., vol. 62, no. 2, pp. 488-499, Feb. 2014.
35. S.-P. Han and O. L. Mangasarian, "Exact penalty functions in nonlinear programming, '' Math. Program., vol. 17, no. 1, pp. 251-269, Dec. 1979.
36. G. Di Pillo and L. Grippo, "Exact penalty functions in constrained optimization, '' SIAM J. Control Optim., vol. 26, no. 6, pp. 1333-1360, Nov. 1989.
37. O. L. Mangasarian and S. Fromovitz, "The Fritz John necessary optimality conditions in the presence of equality and inequality constraints, '' J. Math. Anal. Appl., vol. 17, pp. 37-47, 1967.
38. S. Boyd and L. Vandenberghe, Convex Optimization. Cambridge, U.K.: Cambridge Univ. Press, 2004.
39. L. Vandenberghe and S. Boyd, "Semidefinite programming, '' SIAM Rev., vol. 38, no. 1, pp. 49-95, Mar. 1996.
40. A. Charnes and W. W. Cooper, "Programming with linear fractional functionals, '' Naval Res. Logistics Quart., vol. 9, nos. 3-4, pp. 181-186, Sep./Dec. 1962.
41. J. F. Sturm, "Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones, '' Optim. Methods Softw., vol. 11, nos. 1-4, pp. 625-653, Jan. 1999.
42. MOSEK ApS. (2016). The MOSEK Optimization Toolbox for MATLAB Manual. V7.1 (R49). [online]. Available: http://docs.mosek.com/7.1/toolbox/index.html
43. Y. Nesterov and A. Nemirovski, Interior Point Polynomial Time Methods in Convex Programming: Theory and Applications. Philadelphia, PA, USA: SIAM, 1994.
44. J. Yang, B. Champagne, Y. Zou, and L. Hanzo, "Joint optimization of transceiver matrices for MIMO-Aided multiuser AF relay networks: Improving the QoS in the presence of CSI errors, '' IEEE Trans. Veh. Technol., vol. 65, no. 3, pp. 1434-1451, Mar. 2016.