Distributed coalitional game for friendly jammer selection in ultra-dense networks

Consider an ultra-dense heterogeneous network with one malicious eavesdropper intercepting macro-layer information. A portion of small-cell base stations (SBSs) acts as the friendly jammer to help improving macro-users’secrecy rate by transmitting interference signal on the wiretap channel. In return, the client macro-user pays to its jammers for the jamming power that they provide. Instead of transmitting noise as traditional jammers do, this paper proposes a modified spectrum leasing method, which allows SBSs to replace the thermal noise with their own traffic. This approach also permits the jamming SBSs to access extra spectrum in order to enhance the performance. In the considered scenario, the macro-user tries to find the SBSs that can mostly protect its confidential message, while each SBS decides whether to serve as a jammer or not. Once an SBS decides to be a jammer, it needs to choose the optimal client macro-user depending on the channel condition. This two-way selection problem between SBSs and macro-users is modeled as the coalition formation game with non-transferable utility, and a distributed scheme is proposed for this game, in which the players (macro-users and SBSs) individually make a decision and converge to a Nash-stable partition in a self-organized manner. The simulation results show that the majority of macro-user equipments enjoy a fivefold increment in average secrecy rate and that the friendly jammer scheme effectively protects the macro-users from the eavesdropper. At the same time, the average capacity of small-cell layer also achieves a 16.92 % improvement.

[1]  Guy Pujolle,et al.  QoS-based power control and resource allocation in OFDMA femtocell networks , 2012, 2012 IEEE Global Communications Conference (GLOBECOM).

[2]  Zhu Han,et al.  Physical Layer Security for Two-Way Untrusted Relaying With Friendly Jammers , 2012, IEEE Transactions on Vehicular Technology.

[3]  Jeffrey G. Andrews,et al.  Heterogeneous Cellular Networks with Flexible Cell Association: A Comprehensive Downlink SINR Analysis , 2011, IEEE Transactions on Wireless Communications.

[4]  Jing Peng,et al.  A Reinforcement Learning Approach to Control. , 1997 .

[5]  Tony Q. S. Quek,et al.  Optimal Subsidies for Shared Small Cell Networks —A Social Network Perspective , 2014, IEEE Journal of Selected Topics in Signal Processing.

[6]  Walid Saad,et al.  Coalitional Games with Overlapping Coalitions for Interference Management in Small Cell Networks , 2014, IEEE Transactions on Wireless Communications.

[7]  Bhaskar Krishnamachari,et al.  Energy-efficient design of heterogeneous cellular networks from deployment to operation , 2015, Comput. Networks.

[8]  Saeedeh Parsaeefard,et al.  Cooperative Secure Resource Allocation in Cognitive Radio Networks with Guaranteed Secrecy Rate for Primary Users , 2014, IEEE Transactions on Wireless Communications.

[9]  Zhu Han,et al.  Self-Organization in Small Cell Networks: A Reinforcement Learning Approach , 2013, IEEE Transactions on Wireless Communications.

[10]  R. Matthews,et al.  Issues and Approaches , 2003 .

[11]  W. Lucas,et al.  N‐person games in partition function form , 1963 .

[12]  Zhu Han,et al.  Coalition Formation Games for Distributed Cooperation Among Roadside Units in Vehicular Networks , 2010, IEEE Journal on Selected Areas in Communications.

[13]  K. J. Ray Liu,et al.  An Information Secrecy Game in Cognitive Radio Networks , 2011, IEEE Transactions on Information Forensics and Security.

[14]  Sami Tabbane,et al.  Win-win relationship between macrocell and femtocells for spectrum sharing in LTE-A , 2014, IET Commun..

[15]  Aylin Yener,et al.  Improving Secrecy Rate via Spectrum Leasing for Friendly Jamming , 2013, IEEE Transactions on Wireless Communications.

[16]  Tat-Ming Lok,et al.  Dynamic Power Allocation for Downlink Interference Management in a Two-Tier OFDMA Network , 2013, IEEE Transactions on Vehicular Technology.

[17]  Ender Tekin,et al.  The General Gaussian Multiple-Access and Two-Way Wiretap Channels: Achievable Rates and Cooperative Jamming , 2007, IEEE Transactions on Information Theory.

[18]  Zhu Han,et al.  Distributed Coalition Formation of Relay and Friendly Jammers for Secure Cooperative Networks , 2011, 2011 IEEE International Conference on Communications (ICC).

[19]  Raviraj S. Adve,et al.  Distributed clustering and interference management in two-tier networks , 2012, 2012 IEEE Global Communications Conference (GLOBECOM).

[20]  Jing Xu,et al.  Cooperative distributed optimization for the hyper-dense small cell deployment , 2014, IEEE Communications Magazine.

[21]  Walid Saad,et al.  Hedonic Coalition Formation for Distributed Task Allocation among Wireless Agents , 2010, IEEE Transactions on Mobile Computing.

[22]  Zhu Han,et al.  Improved Wireless Secrecy Rate Using Distributed Auction Theory , 2009, 2009 Fifth International Conference on Mobile Ad-hoc and Sensor Networks.

[23]  Roger B. Myerson,et al.  Game theory - Analysis of Conflict , 1991 .

[24]  Xin-Ping Guan,et al.  Fairness-guaranteed pricing and power allocation with a friendly jammer against eavesdropping , 2012, 2012 International Conference on Wireless Communications and Signal Processing (WCSP).

[25]  Debraj Ray A Game-Theoretic Perspective on Coalition Formation , 2007 .

[26]  Ying Wang,et al.  Energy-efficient design of two-tier femtocell networks , 2015, EURASIP J. Wirel. Commun. Netw..

[27]  An Wang,et al.  Power allocation based on Stackelberg game in a jammer-assisted secure network , 2013 .

[28]  Daqiang Zhang,et al.  Network Selection in Cognitive Heterogeneous Networks Using Stochastic Learning , 2013, IEEE Communications Letters.

[29]  Dong In Kim,et al.  Interference management in OFDMA femtocell networks: issues and approaches , 2012, IEEE Wireless Communications.

[30]  H. Vincent Poor,et al.  Information and inference in the wireless physical layer , 2012, IEEE Wireless Communications.

[31]  Matthew O. Jackson,et al.  The Stability of Hedonic Coalition Structures , 2002, Games Econ. Behav..

[32]  Walid Saad,et al.  Spectrum Leasing as an Incentive Towards Uplink Macrocell and Femtocell Cooperation , 2011, IEEE Journal on Selected Areas in Communications.

[33]  Zhe Luo,et al.  Dynamic Small Cell on/off Scheduling Using Stackelberg Game , 2014, IEEE Communications Letters.

[34]  Kai-Kit Wong,et al.  Optimal Cooperative Jamming to Enhance Physical Layer Security Using Relays , 2011, IEEE Transactions on Signal Processing.

[35]  Zhu Han,et al.  Game Theory in Wireless and Communication Networks: Theory, Models, and Applications , 2011 .

[36]  Xianbin Wang,et al.  Authentication handover and privacy protection in 5G hetnets using software-defined networking , 2015, IEEE Communications Magazine.

[37]  A. D. Wyner,et al.  The wire-tap channel , 1975, The Bell System Technical Journal.