, The material of this chapter is developed from the following work
Efficient DCA based Algorithms for Simultaneous Wireless Information and Power Transfer in MISO Secrecy Channel ,
A DCA-Based Approach for Outage Constrained Robust Secure Power-Splitting SWIPT MISO System, Optimization of Complex Systems: Theory, Models, Algorithms and Applications. WCGO 2019. Advances in Intelligent Systems and Computing, vol.991, pp.289-298 ,
URL : https://hal.archives-ouvertes.fr/hal-02570328
Phuong Anh Nguyen. DC programming and DCA for Probabilistic Robust SWIPT Beamforming in Secure MISO Channel ,
Achieving the maximum sum rate using D.C. programming in cellular networks, IEEE Transactions on Signal Processing, vol.60, issue.3, pp.1331-1341, 2012. ,
Wireless information-theoretic security, IEEE Transactions on Information Theory, vol.54, issue.6, pp.2515-2534, 2008. ,
Convex Optimization, 2004. ,
Both worst-case and chanceconstrained robust secure SWIPT in MISO interference channels, IEEE Transactions on Information Forensics and Security, vol.13, issue.2, pp.306-317, 2018. ,
Secrecy wireless information and power transfer: challenges and opportunities, vol.23, pp.54-61, 2016. ,
Simultaneous wireless information power transfer for MISO secrecy channel, IEEE Transactions on Vehicular Technology, vol.65, issue.9, pp.6913-6925, 2016. ,
Robust secure transmission in MISO simultaneous wireless information and power transfer system, IEEE Transactions on Vehicular Technology, vol.64, issue.1, pp.400-405, 2015. ,
Robust cooperative secure beamforming for simultaneous wireless information and power transfer in amplify-and-forward relay networks, IEEE Transactions on Vehicular Technology, vol.66, issue.3, pp.2354-2366, 2017. ,
Artificial noise generation from cooperative relays for everlasting secrecy in two-hop wireless networks, IEEE Journal on Selected Areas in Communications, vol.29, issue.10, pp.2067-2076, 2011. ,
CVX: Matlab software for disciplined convex programming, 2014. ,
An-aided robust secure beamforming design in MIMO two-way relay systems with PNC, 2018 IEEE Wireless Communications and Networking Conference (WCNC), pp.1-6, 2018. ,
Fundamentals of Convex Analysis, 2001. ,
Outage balancing in multiuser MISO networks: Network duality and algorithms, 2012 IEEE Global Communications Conference (GLOBECOM), pp.3918-3923, 2012. ,
Joint secure beamforming design at the source and the relay for an amplify-and-forward MIMO untrusted relay system, IEEE Transactions on Signal Processing, vol.60, issue.1, pp.310-325, 2012. ,
Fast global optimal power allocation in wireless networks by local D.C. programming, IEEE Transactions on Wireless Communications, vol.11, issue.2, pp.510-515, 2012. ,
Masked beamforming in the presence of energy-harvesting eavesdroppers, IEEE Transactions on Information Forensics and Security, vol.10, issue.1, pp.40-54, 2015. ,
Robust secrecy beamforming with energy-harvesting eavesdroppers, IEEE Wireless Communications Letters, vol.4, issue.1, pp.10-13, 2015. ,
Robust secrecy beamforming for MIMO SWIPT with probabilistic constraints, 2016 IEEE Globecom Workshops (GC Wkshps), pp.1-6, 2016. ,
Probabilistically robust SWIPT for secrecy MISOME systems, IEEE Transactions on Information Forensics and Security, vol.12, issue.1, pp.211-226, 2017. ,
Simultaneous wireless information and power transfer in modern communication systems, IEEE Communications Magazine, vol.52, issue.11, pp.104-110, 2014. ,
How to break DES for BC 8,980, Workshop on Special purpose Hardware for Attacking Cryptographic Systems SHARCS, 2006. ,
Robust chance-constrained optimization for power-efficient and secure SWIPT systems, IEEE Transactions on Green Communications and Networking, vol.1, issue.3, pp.333-346, 2017. ,
Analyse numérique des algorithmes de l'optimisation d. C. Approches locale et globale. Codes et simulations numériques en grande dimension. Applications, 1994. ,
Contributionà l'optimisation non convexe et l'optimisation globale: Théorie, algorithmes et applications, Habilitationà Diriger des Recherches, 1997. ,
DC programming and DCA, 2005. ,
URL : https://hal.archives-ouvertes.fr/hal-01664024
Collaborative DCA: An intelligent collective optimization scheme, and its application for clustering, Journal of Intelligent & Fuzzy Systems, vol.37, issue.6, pp.7511-7518, 2019. ,
Online learning based on online DCA and application to online classification, Neural Computation, vol.32, issue.4, pp.759-793, 2020. ,
URL : https://hal.archives-ouvertes.fr/hal-02502129
DC programming and DCA for general DC programs, Advances in Intelligent Systems and Computing, vol.282, pp.15-35, 2014. ,
Alternative DC algorithm for partial DC programming. Optimization online, pp.1-35, 2019. ,
Stochastic difference-of-convex algorithms for solving nonconvex optimization problems, 2019. ,
Stochastic DCA for minimizing a large sum of DC functions with application to multi-class logistic regression. Revised version in Neural Networks ,
Stochastic DCA for the large-sum of non-convex functions problem and its application to group variable selection in classification, Proceedings of the 34th International Conference on Machine Learning, ICML, pp.3394-3403, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01664761
A DCA-Like algorithm and its accelerated version with application in data visualization, 2018. ,
Self-organizing maps by difference of convex functions optimization, Data Mining and Knowledge Discovery, vol.28, pp.1336-1365, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01636658
A DC programming approach for finding Communities in networks, Neural Computation, vol.26, issue.12, pp.2827-2854, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01636651
DC programming and DCA based cross-layer optimization in multi-hop TDMA networks, Intelligent Information and Database Systems, vol.7803, pp.398-408, 2013. ,
Solving a class of linearly constrained indefinite quadratic problems by D.C. algorithms, Journal of Global Optimization, vol.11, issue.3, pp.253-285, 1997. ,
URL : https://hal.archives-ouvertes.fr/hal-01636781
The DC (Difference of convex functions) programming and DCA revisited with DC models of real world nonconvex optimization problems, Annals of Operations Research, vol.133, issue.1, pp.23-46, 2005. ,
URL : https://hal.archives-ouvertes.fr/hal-01636759
Network utility maximisation: A DC programming approach for sigmoidal utility function, International Conference on Advanced Technologies for Communications (ATC 2013), pp.50-54, 2013. ,
DC programming in communication systems: challenging problems and methods, Vietnam Journal of Computer Science, vol.1, issue.1, pp.15-28, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01636673
DC programming and DCA: thirty years of developments. Mathematical Programming, Special Issue dedicated to: DC Programming -Theory, Algorithms and Applications, vol.169, issue.1, pp.5-68, 2018. ,
, from Deterministic to Stochastic Approaches. Handbook of Engineering Statistics
Advanced DCA based algorithms for nonconvex programming, vol.37, 2018. ,
DC programming and DCA for transmit beamforming and power allocation in multicasting relay network, Advanced Computational Methods for Knowledge Engineering, vol.453, pp.29-41, 2016. ,
DC approximation approaches for sparse optimization, European Journal of Operational Research, vol.244, issue.1, pp.26-46, 2015. ,
Feature selection for linear SVMs under uncertain data: Robust optimization based on difference of convex functions algorithms, Neural Networks, vol.59, pp.36-50, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01636653
Secrecy capacity analysis over ? ? µ fading channels, IEEE Communications Letters, vol.21, issue.6, pp.1445-1448, 2017. ,
The Gaussian wire-tap channel, IEEE Transactions on Information Theory, vol.24, issue.4, pp.451-456, 1978. ,
Secrecy rate maximization of a MISO channel with multiple multi-antenna eavesdroppers via semidefinite programming, 2010 IEEE International Conference on Acoustics, Speech and Signal Processing, pp.3042-3045, 2010. ,
A robust artificial noise aided transmit design for MISO secrecy, 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp.3436-3439, 2011. ,
Robust artificial noise-aided transmit optimization for achieving secrecy and energy harvesting, 2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp.1596-1600, 2014. ,
Joint source and relay secure beamforming for nonregenerative MIMO relay systems with wireless information and power transfer, IEEE Transactions on Vehicular Technology, vol.66, issue.7, pp.5853-5865, 2017. ,
Achieving secure transmission with equivalent multiplicative noise in MISO wiretap channels, IEEE Communications Letters, vol.17, issue.5, pp.892-895, 2013. ,
Robust cooperative beamforming and artificial noise design for physical-layer secrecy in AF multiantenna multi-relay networks, IEEE Transactions on Signal Processing, vol.63, issue.1, pp.206-220, 2015. ,
Joint transmit beamforming and artificial noise design for QoS discrimination in wireless downlink, 2010 IEEE International Conference on Acoustics, Speech and Signal Processing, pp.2562-2565, 2010. ,
Secrecy wireless information and power transfer with MISO beamforming, IEEE Transactions on Signal Processing, vol.62, issue.7, pp.1850-1863, 2014. ,
Cracking DES -secrets of encryption research, wiretap politics and chip design: how federal agencies subvert privacy, 1998. ,
Wireless networks with RF energy harvesting: A contemporary survey, IEEE Communications Surveys Tutorials, vol.17, issue.2, pp.757-789, 2015. ,
Outage constrained robust secure transmission for MISO wiretap channels, IEEE Transactions on Wireless Communications, vol.13, issue.10, pp.5558-5570, 2014. ,
Robust beamforming for security in MIMO wiretap channels with imperfect CSI, IEEE Transactions on Signal Processing, vol.59, issue.1, pp.351-361, 2011. ,
Secret communication using artificial noise, VTC-2005-Fall. 2005 IEEE 62nd Vehicular Technology Conference, vol.3, pp.1906-1910, 2005. ,
Robust beamforming for secure communication in systems with wireless information and power transfer, IEEE Transactions on Wireless Communications, vol.13, issue.8, pp.4599-4615, 2014. ,
Resource allocation for secure communication in systems with wireless information and power transfer, IEEE Globecom Workshops, pp.1251-1257, 2013. ,
Multi-objective beamforming for secure communication in systems with wireless information and power transfer, IEEE 24th Annual International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC), pp.7-12, 2013. ,
A DC programming approach for worstcase secrecy rate maximization problem, Computational Collective Intelligence, vol.11055, pp.417-425, 2018. ,
A DCA-based approach for outage constrained robust secure power-splitting SWIPT MISO system, Optimization of Complex Systems: Theory, Models, Algorithms and Applications, vol.991, pp.289-298, 2020. ,
URL : https://hal.archives-ouvertes.fr/hal-02570328
Robust secrecy beamforming and power-splitting design for multiuser MISO downlink with SWIPT, IEEE Systems Journal, vol.13, issue.2, pp.1367-1375, 2019. ,
Cooperative precoding and artificial noise design for security over interference channels, IEEE Signal Processing Letters, vol.22, issue.12, pp.2234-2238, 2015. ,
Algorithms for solving a class of nonconvex optimization problems, Methods of subgradients. North-Holland Mathematics Studies, vol.129, pp.249-271, 1986. ,
Convex analysis approach to d.c. programming: Theory, algorithm and applications, Acta Mathematica Vietnamica, vol.22, issue.1, pp.289-355, 1997. ,
URL : https://hal.archives-ouvertes.fr/hal-01664714
D.C. optimization algorithms for solving the trust region subproblem, SIAM J.Optimization, vol.8, issue.2, pp.476-505, 1998. ,
URL : https://hal.archives-ouvertes.fr/hal-01664642
Recent advances in DC programming and DCA, Transactions on Computational Intelligence, vol.8342, pp.1-37, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01664024
Accelerated difference of convex functions algorithm and its application to sparse binary logistic regression, Proceedings of the 27th International Joint Conference on Artificial Intelligence, IJCAI, pp.1369-1375, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-02570336
Joint optimization of source precoding and relay beamforming in wireless MIMO relay networks, IEEE Transactions on Communications, vol.62, issue.2, pp.488-499, 2014. ,
, Convex analysis. Princeton Mathematical Series, 1970.
Outage probability based power distribution between data and artificial noise for physical layer security, IEEE Signal Processing Letters, vol.19, issue.2, pp.71-74, 2012. ,
Solving QoS routing problems by DCA, Intelligent Information and Database Systems, vol.5991, pp.460-470, 2010. ,
Solving partitioning-hub location-routing problem using DCA, Journal of Industrial and Management Optimization, vol.8, issue.1, pp.87-102, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-01636727
Solving many to many multicast QoS routing problem using DCA and proximal decomposition technique, International Conference on Computing, Networking and Communications (ICNC), pp.809-814, 2012. ,
Robust an-aided secure transmission scheme in MISO channels with simultaneous wireless information and power transfer, IEEE Signal Processing Letters, vol.22, issue.6, pp.723-727, 2015. ,
DC programming and DCA for a novel resource allocation problem in emerging area of cooperative physical layer security, Advanced Computational Methods for Knowledge Engineering, vol.358, pp.57-68, 2015. ,
DC programming and DCA for enhancing physical layer security via cooperative jamming, Computers & Operations Research, vol.87, pp.235-244, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01616959
DC programming and DCA for enhancing physical layer security via relay beamforming strategies, Intelligent Information and Database Systems, pp.640-650, 2016. ,
Transporting information and energy simultaneously, IEEE International Symposium on Information Theory, pp.1612-1616, 2008. ,
DC programming approach for resource allocation in wireless networks, 8th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, pp.380-386, 2010. ,
URL : https://hal.archives-ouvertes.fr/inria-00502213
Joint beamforming and power allocation for secrecy in peer-to-peer relay networks, IEEE Transactions on Wireless Communications, vol.14, issue.6, pp.3280-3293, 2015. ,
Outage constrained robust transmit optimization for multiuser MISO downlinks: Tractable approximations by conic optimization, IEEE Transactions on Signal Processing, vol.62, issue.21, pp.5690-5705, 2014. ,
Robust secure transmit design in MIMO channels with simultaneous wireless information and power transfer, IEEE Signal Processing Letters, vol.22, issue.11, pp.2147-2151, 2015. ,
Energy-efficiency maximization for secure multiuser MIMO SWIPT systems with CSI uncertainty, IEEE Access, vol.6, pp.2097-2109, 2018. ,
The wire-tap channel, The Bell System Technical Journal, vol.54, issue.8, pp.1355-1387, 1975. ,
Joint secure AF relaying and artificial noise optimization: A penalized difference-of-convex programming framework, IEEE Access, vol.4, pp.10076-10095, 2016. ,
Secrecy outage design in MIMO-SWIPT systems based on a non-linear EH model, 2017 IEEE Globecom Workshops (GC Wkshps), pp.1-6, 2017. ,
Outage constrained secrecy rate maximization design with SWIPT in MIMO-CR systems, IEEE Transactions on Vehicular Technology, vol.67, issue.6, pp.5475-5480, 2018. ,
On the secrecy rate and optimal power allocation for artificial noise assisted MIMOME channels, IEEE Transactions on Vehicular Technology, vol.67, issue.4, pp.3098-3113, 2018. ,
Robust beamforming and jamming for secure AF relay networks with multiple eavesdroppers, IEEE Military Communications Conference, pp.495-500, 2014. ,
Secure beamforming design for SWIPT in MISO broadcast channel with confidential messages and external eavesdroppers, IEEE Transactions on Wireless Communications, vol.15, issue.11, pp.7807-7819, 2016. ,
Secure beamforming for SWIPT in multiuser MISO broadcast channel with confidential messages, IEEE Communications Letters, vol.19, issue.8, pp.1347-1350, 2015. ,
Collaborative relay beamforming for secrecy, 2010 IEEE International Conference on Communications, pp.1-5, 2010. ,
Cooperative jamming aided robust secure transmission for wireless information and power transfer in MISO channels, IEEE Transactions on Communications, vol.63, issue.3, pp.906-915, 2015. ,
Max-min fair robust beamforming design for multi-user MISO SWIPT systems, 2016 IEEE International Conference on Communication Systems (ICCS), pp.1-5, 2016. ,
Joint optimization of an-aided transmission and power splitting for MISO secure communications with SWIPT, IEEE Communications Letters, vol.19, issue.11, pp.1969-1972, 2015. ,
Secure beamforming and artificial noise design in interference networks with imperfect ECSI, 2015 IEEE International Conference on Communication Workshop (ICCW), pp.423-428, 2015. ,
Secure beamforming design in wiretap MISO interference channels, 2015 IEEE 81st Vehicular Technology Conference (VTC Spring), pp.1-5, 2015. ,
Secure transmission with artificial noise over fading channels: Achievable rate and optimal power allocation, IEEE Transactions on Vehicular Technology, vol.59, issue.8, pp.3831-3842, 2010. ,
Outage constrained robust beamforming for secure broadcasting systems with energy harvesting, IEEE Transactions on Wireless Communications, vol.15, issue.11, pp.7610-7620, 2016. ,
Eavesdropping attack in collaborative wireless networks: Security protocols and intercept behavior, Proceedings of the 2013 IEEE 17th International Conference on Computer Supported Cooperative Work in Design (CSCWD), pp.704-709, 2013. ,
Intercept probability analysis of cooperative wireless networks with best relay selection in the presence of eavesdropping attack, 2013 IEEE International Conference on Communications (ICC), pp.2183-2187, 2013. ,
Security versus reliability analysis of opportunistic relaying, IEEE Transactions on Vehicular Technology, vol.63, issue.6, pp.2653-2661, 2014. ,