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DC programming and DCA for some classes of problems in Wireless Communication Systems

  • Tran, Thi Thuy
Publication Date
Apr 24, 2017
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Wireless communication plays an increasingly important role in many aspects of life. A lot of applications of wireless communication are exploited to serve people's life such as e-banking, e-commerce and medical service. Therefore, quality of service (QoS) as well as confidentiality and privacy of information over the wireless network are of leading interests in wireless network designs. In this dissertation, we focus on developing optimization techniques to address some problems in two topics: QoS and physical layer security. Our methods are relied on DC (Difference of Convex functions) programming and DCA (DC Algorithms) which are powerful, non-differentiable, non-convex optimization tools that have enjoyed great success over the last two decades in modelling and solving many application problems in various fields of applied science. Besides the introduction and conclusion chapters, the main content of the dissertation is divided into four chapters: the chapter 2 concerns QoS in wireless networks whereas the next three chapters tackle physical layer security. The chapter 2 discusses a criterion of QoS assessed by the minimum of signal-to-noise (SNR) ratios at receivers. The objective is to maximize the minimum SNR in order to ensure the fairness among users, avoid the case in which some users have to suffer from a very low SNR. We apply DC programming and DCA to solve the derived max-min fairness optimization problem. With the awareness that the efficiency of DCA heavily depends on the corresponding DC decomposition, we recast the considered problem as a general DC program (minimization of a DC function on a set defined by some convex constraints and some DC constraints) using a DC decomposition different from the existing one and design a general DCA scheme to handle that problem. The numerical results reveal the efficiency of our proposed DCA compared with the existing DCA and the other methods. In addition, we rigorously prove the convergence of the proposed general DCA scheme. The common objective of the next three chapters (Chapter 3,4,5) is to guarantee security at the physical layer of wireless communication systems based on maximizing their secrecy rate. Three different architectures of the wireless system using various cooperative techniques are considered in these three chapters. More specifically, a point-to-point wireless system including single eavesdropper and employing cooperative jamming technique is considered in the chapter 3. Chapter 4 is about a relay wireless system including single eavesdropper and using a combination of beamforming technique and cooperative relaying technique with two relaying protocols Amplify-and-Forward (AF) and Decode-and-Forward (DF). Chapter 5 concerns a more general relay wireless system than the chapter 4, in which multiple eavesdroppers are considered instead of single eavesdropper. The difference in architecture of wireless systems as well as in the utilized cooperative techniques result in three mathematically different optimization problems. The unified approach based on DC programming and DCA is proposed to deal with these problems. The special structures of the derived optimization problems in the chapter 3 and the chapter 4 are exploited and explored to design efficient standard DCA schemes in the sense that the convex subproblems in these schemes are solved either explicitly or in an inexpensive way. The max-min forms of the optimization problems in the chapter 5 are reformulated as the general DC programs with DC constraints and the general DCA schemes are developed to address these problems. The results obtained by DCA show the efficiency of our approach in comparison with the existing methods. The convergence of the proposed general DCA schemes is thoroughly shown

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