Abstract
In this paper, we consider the problem of resource allocation in emerging area of cooperative physical layer security, whose objective function is of the difference of two convex functions, called DC function, and whose some constraints are coupling. We propose a novel DC decomposition for the objective function and use DCA (DC algorithms) to solve this problem. The main advantage of the proposed DC decomposition is that it leads to strongly convex quadratic sub-problems that can be easily solved by both distributed and centralized methods. The numerical results show the efficiency of this DC decomposition compared with the one proposed in ([2]). The DC decomposition technique in this article may be applied for a wide range of multiuser DC problems in communication systems, signal processing and networking.
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References
Al-Shatri, A., Weber, T.: Achieving the maximum sum rate using dc programming in cellular networks. IEEE Trans. Signal Process 60(3), 1331–1341 (2012)
Alvarado, A., Scutari, G., Pang, J.-S.: A new decomposition method for multiuser dc-programming and its application. IEEE Transactions on Signal Processing 62(11), 2984–2998 (2014)
Chiang, M.: Geometric programming for communication systems. Foundations and Trends in Communication and Information Theory 2(1-2), 1–154 (2005)
Dong, L., Han, Z., Petropulu, A., Poor, H.: Improving wireless physical layer security via cooperating relays. IEEE Trans. Signal Process 58(3), 1875–1888 (2010)
Han, Z., Marina, N., Debbah, M., Hjorungnes, A.: Physical layer security game: intersaction between source, eavesdropper, and friendly jammer. EURASIP J. Wireless Commun. Netw 2009(1), 1–11 (2009)
He, X., Yener, A.: Cooperative jamming: The tale of friendly interference for secrecy, pp. 65–88. Spinger (2010)
Jorswieck, E., Wolf, A., Gerbracht, S.: Secrecy on the Physical Layer in Wireless Networks, vol. 20. INTECH (2010)
Julian, D., Chiang, M., O’Neill, D., Boyd, S.P.: QoS and fairness constrained convex optimization of resource allocation for wireless cellular and ad hoc networks. In: IEEE INFOCOM 2002, pp. 477–486 (June 2002)
Kha, H.H., Tuan, H.D., Nguyen, H.H.: Fast global optimal power allocation in wireless network by local dc programming. IEEE Trans. on Wireless Communications 11(2), 510–512 (2012)
Le Thi, H.A.: Dc programming and dca, http://lita.sciences.univ-metz.fr/lethi
Le Thi, H.A., Nguyen, M.C., Dinh, T.P.: A dc programming approach for finding communities in networks. Neural Computation 26(12), 2827–2854 (2014)
Le Thi, H.A., Nguyen, M.C., Pham Dinh, T.: Self-organizing maps by difference of convex functions optimization. Data Mining and Knowledge Discovery 28, 1336–1365 (2014)
Le Thi, H.A., Pham Dinh, T.: The DC (difference of convex functions) programming and DCA revisited with DC models of real world nonconvex optimization problems. Ann. Oper. Resp. 133, 23–46 (2005)
Le Thi, H.A., Pham Dinh, T., Le, H.M., Vo, X.T.: Dc approximation approaches for sparse optimization. European Journal of Operational Research 244(1), 26–46 (2015)
Le Thi, H.A., Vo, X.T., Pham Dinh, T.: Feature selection for linear svms under uncertain data: Robust optimization based on difference of convex functions algorithms. Neural Networks 59, 36–50 (2014)
Li, J., Petropulu, A., Weber, S.: On cooperative relaying schemes for wireless physical layer security. IEEE Trans. Signal Process 59(10), 4985–4997 (2011)
Mutherjee, A., Fakoorian, S.A.A., Huang, J., Swindlehurst, A.L.: Principle of physical layer security in multiuser wireless networks: A survey. IEEE Communication Survey and Tutorials 16(3), 1550–1573 (2014)
Pham Dinh, T., Le Thi, H.A.: Convex analysis approach to dc programming: Theory, algorithms and applications. Acta Mathematica Vietnamica 22(1), 289–357 (1997)
Pham Dinh, T., Le Thi, H.A.: optimization algorithms for solving the trust region subproblem. SIAM J. Optimization 8 (1998)
Pham Dinh, T., Le Thi, H.A.: Recent advances on DC programming and DCA. To appear in Transactions on Computational Collective Intelligence 37 (2013)
Piot, V., Geist, M., Pietquin, O.: Difference of convex functions programming for reinforcement learning. In: Advances in Neural Information Processing Systems (2014)
Stanojev, I., Yener, A.: Improving secrecy rate via spectrum leasing for friendly jamming. IEEE Trans. Inf. Forensics Security 12(1), 134–145 (2013)
Vucic, N., Schubert, M.: Dc programming approach for resource allocation in wireless networks. In: IEEE, Proceedings of the 8th International Symposium on Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks, pp. 380–386 (2010)
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Tran, T.T., Thi, H.A.L., Dinh, T.P. (2015). DC Programming and DCA for a Novel Resource Allocation Problem in Emerging Area of Cooperative Physical Layer Security. In: Le Thi, H., Nguyen, N., Do, T. (eds) Advanced Computational Methods for Knowledge Engineering. Advances in Intelligent Systems and Computing, vol 358. Springer, Cham. https://doi.org/10.1007/978-3-319-17996-4_6
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DOI: https://doi.org/10.1007/978-3-319-17996-4_6
Publisher Name: Springer, Cham
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