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Price-Based Power Allocation in Two-Tier Spectrum Sharing Heterogeneous Cellular Networks

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Journal of Communications and Information Networks

Abstract

Attributable to the using of the same spectrum resources, heterogeneous cellular networks have serious interference problems, which greatly restricts the performance of the network. In this paper, the price-based power allocation for femtocells underlaying a macrocell heterogeneous cellular network is investigated. By exploiting interference pricing mechanism, we formulate the interference management problem as a Stackelberg game and make a joint utility optimization of macrocells and femtocells. Specially, the energy consumption of macrocell users and the transmission rate utility of femtocell users are considered in this utility optimization problem. In the game model, the macrocell base station is regarded as a leader, which coordinates the interference from femtocell users to the macrocell users by pricing the interference. On the other hand, the femtocell base stations are modelled as followers. The femtocell users obtain their power allocation by pricing. After proving the existence of the Stackelberg equilibrium, the non-uniform and uniform pricing schemes are proposed, and distributed interference pricing algorithm is proposed to address uniform interference price problem. Simulation results demonstrate that the proposed schemes are effective on interference management and power allocation.

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References

  1. J. Andrews, S. Buzzi, W. Choi, et al. What will 5G be [J]. IEEE Journal on Selected Areas in Communications, 2014, 32(6): 1065–1082

    Article  Google Scholar 

  2. V. Chandrasekhar, J. Andrews, A. Gatherer. Femtocell networks: A survey [J]. IEEE Communications Magazine, 2008, 46(9): 59–67

    Article  Google Scholar 

  3. C. Xiong, Y. Li, S. Zhang, et al. Energy-efficient resource allocation in OFDMA networks [J]. IEEE Transactions on Communications, 2012, 60(12): 3767–3778

    Article  Google Scholar 

  4. A. Fehske, J. Malmodin, G. Biczok, et al. The global footprint of mobile communications: The ecological and economic perspective [J]. IEEE Communications Magazine, 2011, 49(8): 55–62

    Article  Google Scholar 

  5. N. Saquib, E. Hossain, L. Le, et al. Interference management in OFDMA femtocell networks: Issues and approaches [J]. IEEE Wireless Communication, 2012, 19(3): 86–95

    Article  Google Scholar 

  6. B. Jiang, F. Gao, X. Gao, et al. Channel estimation and training design for two-way relay networks with power allocation [J]. IEEE Transactions on Wireless Communications, 2010, 9(6): 2022–2032

    Article  Google Scholar 

  7. X. Kang, R. Zhang, M. Motani. Price-based resource allocation for spectrum-sharing femtocell networks: A Stackelberg game approach [J]. IEEE Journal on Selected Areas in Communications, 2012, 30(3): 538–549

    Article  Google Scholar 

  8. L. Fan, X. Lei, N. Yang, et al. Secure multiple amplify-and-forward relaying with cochannel interference [J]. IEEE Journal of Selected Topics in Signal Processing, 2016, 10(8): 1494–1505

    Article  Google Scholar 

  9. C. Yang, J. Li, A. Anpalagan, et al. Joint power coordination for spectral-and-energy efficiency in heterogeneous small cell networks: A bargaining game-theoretic perspective [J]. IEEE Transactions onWireless Communications, 2016, 15(2): 1364–1376

    Article  Google Scholar 

  10. W. Li, W. Zheng, T. Su, et al. Distributed power control and pricing for two-tier OFMDA femtocell networks using fictitious game [C]//Proceedings of Wireless Communications and Networking Conference, Shanghai, 2013: 470–475

    Google Scholar 

  11. C. Tseng, C. Peng, H. Wang, et al. Co-tier uplink power control in femtocell networks by Stackelberg game with pricing [C]//Proceedings of IEEE International Conference on Communications, Sydney, 2014: 1–5

    Google Scholar 

  12. J. Zhao, X. Guan, X. Li, et al. Power allocation based on genetic simulated annealing algorithm in cognitive radio networks [J]. Chinese Journal of Electronics, 2013, 22(1): 177–180

    Google Scholar 

  13. R. Yin, C. Zhong, G. Yu, et al. Joint spectrum and power allocation for D2D communications underlaying cellular networks [J]. IEEE Transactions on Vehicular Technology, 2016, 65(4): 2182–2195

    Article  Google Scholar 

  14. X. Li, X. Zhu, L. Wu, et al. A distributed non-uniform pricing approach for power optimization in spectrum-sharing femtocell network [C]//Proceedings of Wireless Communications and Networking Conference, Shanghai, 2013: 667–6

    Google Scholar 

  15. P. Li, Y. Zhu. Price-based power control of femtocell networks: A Stackelberg game approach [C]//IEEE 23rd International Symposium on Personal Indoor and Mobile Radio Communications (PIMRC), Sydney, 2012: 1185–1191

    Google Scholar 

  16. J. Zhao, T. Yang, Y. Gong, et al. Power control algorithm of cognitive radio based on non-cooperative game theory [J]. China Communications, 2013, 10(11): 143–154

    Article  Google Scholar 

  17. Z. Liu, L. Hao, Y. Xia. Price bargaining based on the Stackelberg game in two-tier orthogonal frequency division multiple access femtocell networks [J]. IET Communications, 2014, 9(1): 133–145

    Article  Google Scholar 

  18. Y. Sun, J. Wang, F. Sun, et al. Energy-aware joint user scheduling and power control for two-tier femtocell networks: A hierarchical game approach [J]. IEEE Systems Journal, 2017, 6(99): 1–12

    Article  Google Scholar 

  19. M. Ismail, K. Qaraqe, E. Serpedin. Cooperation incentives and downlink radio resource allocation for green communications in a heteroge neous wireless environment [J]. IEEE Transactions on Vehicular Technology, 2016, 65(3): 1627–1638.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Electronic and Information Engineering, Beijing Jiaotong University, Beijing, 100044, China

    Junhui Zhao, Qiuping Li & Yongqiang Ning

  2. School of Information Engineering, East China Jiaotong University, Nanchang, 330013, China

    Junhui Zhao

  3. Department of Electrical and Electronic Engineering, Southern University of Science and Technology of China, Shenzhen, 518055, China

    Yi Gong

  4. Tsinghua National Laboratory for Information Science and Technology, Tsinghua University, Beijing, 100084, China

    Feifei Gao

Authors
  1. Junhui Zhao
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  2. Qiuping Li
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  3. Yi Gong
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  4. Yongqiang Ning
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  5. Feifei Gao
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Corresponding author

Correspondence to Junhui Zhao.

Additional information

This work is supported by the Fundamental Research Funds for the Central Universities (No. 2018YJS008), the National Natural Science Foundation of China (No. 61471031), the Open Research Fund of National Mobile Communications Research Laboratory, Southeast University (No. 2017D14), Science and Technology Project of Jiangxi Provincial Transport Bureau (No. 2016D0037), Science and Technology of Jiangxi Province (Nos. 2017BCB22016, 20171BBE50057). The associate editor coordinating the review of this paper and approving it for publication was G. R. Ding.

Junhui Zhao [corresponding author] (S‘00-M‘04- SM‘09) received his M.S. and Ph.D. degrees from Southeast University, Nanjing, China, in 1998 and 2004, respectively. From 1998 to 1999, he worked with Nanjing Institute of Engineers at ZTE Corporation. Then, he worked as an Assistant Professor at the Faculty of Information Technology in 2004, Macao University of Science and Technology, and continued to work there till 2007 as an Associate Professor. In 2008, he joined Beijing Jiaotong University as an Associate Professor, where he is currently a Professor at the School of Electronics and Information Engineering. Since 2016, he has also been with the School of Information Engineering in East China Jiaotong University. Meanwhile, he was also a short term Visiting Scholar at Yonsei University, South Korea in 2004 and a Visiting Scholar at Nanyang Technological University, Singapore from 2013 to 2014. His current research interests include wireless and mobile communications and the related applications, which contain 5G mobile communication technology, high-speed railway communications, vehicle communication network, wireless localization, and cognitive radio. He received the IEEE WCSP 2017 Best Paper Award.

Qiuping Li received |her B.E. degree in electronic information science and technology from China West Normal University, Sichuan, China, in 2015. She is currently pursuing her Ph.D. degree in communication and information systems from Beijing Jiaotong University, Beijing, China. Her research interests include heterogeneous cellular network, vehicular networks, mobile edge computing, resource allocation, and optimization techniques.

Yi Gong (S‘99-M‘03-SM‘07) received his Ph.D. degree in electrical engineering from the Hong Kong University of Science and Technology, Hong Kong, China in 2002. He joined as a Member of Professional Staff with the Hong Kong Applied Science and Technology Research Institute, Hong Kong, China. He was employed to work with Nanyang Technological University, Singapore, which he continues to actively collaborate with. He is currently a Professor with Southern University of Science and Technology of China, Shenzhen, China. His current research interests include cognitive radio, cooperative communications, MIMO, OFDM, and cross-layer design for wireless systems. Since 2006, he has been serving on the editorial board of the IEEE Transactions on Wireless Communications and the IEEE Transactions on Vehicular Technology.

Yongqiang Ning received |his B.E. degree in communication engineering from Beijing Jiaotong University, Beijing, China, in 2015. He is currently pursuing |his M.S. degree in communication and information systems from Beijing Jiaotong University, Beijing, China. His research interests include signal processing, heterogeneous cellular network, resource allocation.

Feifei Gao (M’09-SM’14) received |his B.Eng. degree from Xi’an Jiaotong University, Xi’an, China, in 2002, |his M.Sc. degree from McMaster University, Hamilton, Ontario, Canada, in 2004, and his Ph.D. degree from the National University of Singapore, Singapore, in 2007. He was a Research Fellow with the Institute for Infocomm Research, A*STAR, Singapore, in 2008, and an Assistant Professor with the School of Engineering and Science, Jacobs University, Bremen, Germany, from 2009 to 2010. In 2011, he joined the Department of Automation, Tsinghua University, Beijing, China, where he is currently an Associate Professor.

His research areas include communication theory, signal processing for communications, array signal processing, and convex optimizations, with particular interests in MIMO techniques, multicarrier communications, cooperative communication, and cognitive radio networks. He has authored or coauthored over 80 refereed IEEE journal papers and over 120 IEEE conference proceeding papers, which have been cited more than 3500 times according to Google Scholar.

Dr. Gao has served as the symposium cochair of the 2015 IEEE Conference on Communications, the 2014 IEEE Global Communications Conference, and the 2014 IEEE Vehicular Technology Conference Fall. He has served as a technical committee member for many other IEEE conferences. He has served as an Editor of the IEEE Transactions on Wireless Communications, the IEEE Communications Letters, the IEEE Signal Processing Letters, the IEEE Wireless Communications Letters, the International Journal on Antennas and Propagations, and China Communications.

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Zhao, J., Li, Q., Gong, Y. et al. Price-Based Power Allocation in Two-Tier Spectrum Sharing Heterogeneous Cellular Networks. J. Commun. Inf. Netw. 3, 37–43 (2018). https://doi.org/10.1007/s41650-018-0021-6

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  • DOI: https://doi.org/10.1007/s41650-018-0021-6

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