Joint Power Coordination for Spectral-and-Energy Efficiency in Heterogeneous Small Cell Networks: A Bargaining Game-Theoretic Perspective

Extensive deployment of small cells in heterogenous cellular networks introduces both challenges and opportunities. Challenges come with the reuse of the limited frequency resource for improving spectral efficiency, which always introduces serious mutual inter- and intracell interference between or among small cells and macrocells. The opportunities refer to more potential chances of inter- and intratier cooperations among small cells and macrocells. Energy efficiency will be a critical performance requirement for future green communications, especially when small cells are densely deployed to enhance the quality of user's experience. We exploit the potential cooperation diversities to combat the interference and energy management challenges. To capture the complicated interference interaction and also the possible coordination behavior among small cells and macrocells, this paper proposes a novel bargaining cooperative game (BCG) framework for energy efficient and interference-aware power coordination in a dense small cell network. In particular, a new adjustable utility function is employed in the BCG framework to jointly address both the spectral efficiency and energy efficiency issues. Using the BCG framework, we then derive the closed-form power coordination solutions and further propose a joint interference-aware power coordination scheme (Joint) with the considerations of both interference mitigation and energy saving. Moreover, a simplified algorithm (Simplified) is presented to combat the heavy signaling overhead, which is one of the significant challenges in the scenario of extensive deployment of small cells. Finally, numerical results are provided to illustrate the effectiveness of the proposed Joint and Simplified schemes.

[1]  3rd Generation Partnership Project; Technical Specification Group Radio Access Network; Evolved Universal Terrestrial Radio Access (e-utra); Further Advancements for E-utra Physical Layer Aspects (release 9) , 2022 .

[2]  Samson Lasaulce,et al.  A Repeated Game Formulation of Energy-Efficient Decentralized Power Control , 2010, IEEE Transactions on Wireless Communications.

[3]  Rose Qingyang Hu,et al.  Analytical study on network spectrum efficiency of ultra dense networks , 2013, 2013 IEEE 24th Annual International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC).

[4]  Wei Zheng,et al.  Energy-efficient power optimization with Pareto improvement in two-tier femtocell networks , 2012, 2012 IEEE 23rd International Symposium on Personal, Indoor and Mobile Radio Communications - (PIMRC).

[5]  Michael L. Honig,et al.  Distributed interference compensation for wireless networks , 2006, IEEE Journal on Selected Areas in Communications.

[6]  Lei Deng,et al.  A Unified Energy Efficiency and Spectral Efficiency Tradeoff Metric in Wireless Networks , 2013, IEEE Communications Letters.

[7]  Klaus I. Pedersen,et al.  Multicell cooperation for LTE-advanced heterogeneous network scenarios , 2013, IEEE Wireless Communications.

[8]  Jeffrey G. Andrews,et al.  Heterogeneous cellular networks: From theory to practice , 2012, IEEE Communications Magazine.

[9]  Chunxiao Jiang,et al.  Resource Allocation for Cognitive Small Cell Networks: A Cooperative Bargaining Game Theoretic Approach , 2015, IEEE Transactions on Wireless Communications.

[10]  Mehul Motani,et al.  Price-Based Resource Allocation for Spectrum-Sharing Femtocell Networks: A Stackelberg Game Approach , 2012, IEEE Journal on Selected Areas in Communications.

[11]  Ekram Hossain,et al.  Downlink Power Control in Self-Organizing Dense Small Cells Underlaying Macrocells: A Mean Field Game , 2016, IEEE Transactions on Mobile Computing.

[12]  Mohamed-Slim Alouini,et al.  Green heterogeneous small-cell networks: toward reducing the CO2 emissions of mobile communications industry using uplink power adaptation , 2013, IEEE Communications Magazine.

[13]  Bongyong Song,et al.  A holistic view on hyper-dense heterogeneous and small cell networks , 2013, IEEE Communications Magazine.

[14]  Jie Zhang,et al.  OFDMA femtocells: A roadmap on interference avoidance , 2009, IEEE Communications Magazine.

[15]  Jeffrey G. Andrews,et al.  Femtocell networks: a survey , 2008, IEEE Communications Magazine.

[16]  Yong Huat Chew,et al.  Performance Analysis of Downlink Multi-Cell OFDMA Systems Based on Potential Game , 2012, IEEE Transactions on Wireless Communications.

[17]  Nirwan Ansari,et al.  On greening cellular networks via multicell cooperation , 2013, IEEE Wireless Communications.

[18]  Qiang Ni,et al.  Nash Bargaining Game Theoretic Scheduling for Joint Channel and Power Allocation in Cognitive Radio Systems , 2012, IEEE Journal on Selected Areas in Communications.

[19]  Zhu Han,et al.  Fair multiuser channel allocation for OFDMA networks using Nash bargaining solutions and coalitions , 2005, IEEE Transactions on Communications.

[20]  Mingyi Hong,et al.  Equilibrium Pricing of Interference in Cognitive Radio Networks , 2011, IEEE Transactions on Signal Processing.

[21]  Zhu Han,et al.  Non-cooperative resource competition game by virtual referee in multi-cell OFDMA networks , 2007, IEEE Journal on Selected Areas in Communications.

[22]  Alagan Anpalagan,et al.  Interference-aware spectral-and-energy efficiency tradeoff in heterogeneous networks , 2015, 2015 IEEE Wireless Communications and Networking Conference (WCNC).

[23]  F. Richard Yu,et al.  Energy-Efficient Resource Allocation for Heterogeneous Cognitive Radio Networks with Femtocells , 2012, IEEE Transactions on Wireless Communications.

[24]  Cornelis H. Slump,et al.  Cognitive Small Cell Networks: Energy Efficiency and Trade-Offs , 2013, IEEE Transactions on Communications.

[25]  Jeffrey G. Andrews,et al.  Power control in two-tier femtocell networks , 2008, IEEE Transactions on Wireless Communications.

[26]  Alagan Anpalagan,et al.  Cooperative bargaining game‐theoretic methodology for 5G wireless heterogeneous networks , 2015, Trans. Emerg. Telecommun. Technol..

[27]  Hsiao-Hwa Chen,et al.  Energy-efficient non-cooperative cognitive radio networks: micro, meso, and macro views , 2014, IEEE Communications Magazine.

[28]  Cong Xiong,et al.  Energy- and Spectral-Efficiency Tradeoff in Downlink OFDMA Networks , 2011, IEEE Transactions on Wireless Communications.

[29]  F. Richard Yu,et al.  A Game Theory Approach for Inter-Cell Interference Management in OFDM Networks , 2011, 2011 IEEE International Conference on Communications (ICC).

[30]  Rose Qingyang Hu,et al.  An energy efficient and spectrum efficient wireless heterogeneous network framework for 5G systems , 2014, IEEE Communications Magazine.

[31]  Xin Li,et al.  A distributed non-uniform pricing approach for power optimization in spectrum-sharing femtocell network , 2013, 2013 IEEE Wireless Communications and Networking Conference (WCNC).

[32]  F. Richard Yu,et al.  A Joint Cross-Layer and Colayer Interference Management Scheme in Hyperdense Heterogeneous Networks Using Mean-Field Game Theory , 2016, IEEE Transactions on Vehicular Technology.

[33]  Junyi Li,et al.  Network densification: the dominant theme for wireless evolution into 5G , 2014, IEEE Communications Magazine.

[34]  Tho Le-Ngoc,et al.  Distributed Interference Management in Two-Tier CDMA Femtocell Networks , 2012, IEEE Transactions on Wireless Communications.

[35]  Sudarshan Guruacharya,et al.  Hierarchical Competition for Downlink Power Allocation in OFDMA Femtocell Networks , 2013, IEEE Transactions on Wireless Communications.

[36]  Geoffrey Ye Li,et al.  Distributed Interference-Aware Energy-Efficient Power Optimization , 2011, IEEE Transactions on Wireless Communications.

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

[38]  F. Richard Yu,et al.  Dynamic energy-efficient resource allocation in cognitive heterogeneous wireless networks with the smart grid , 2012, 2012 IEEE Global Communications Conference (GLOBECOM).

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

[40]  Cem U. Saraydar,et al.  Efficient power control via pricing in wireless data networks , 2002, IEEE Trans. Commun..

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

[42]  Tho Le-Ngoc,et al.  Distributed Pareto-Optimal Power Control for Utility Maximization in Femtocell Networks , 2012, IEEE Transactions on Wireless Communications.

[43]  Dong In Kim,et al.  Clustering and Resource Allocation for Dense Femtocells in a Two-Tier Cellular OFDMA Network , 2014, IEEE Transactions on Wireless Communications.