\r\nreached its upper bound and it can be well handled by introducing

\r\nfemtocells with low-cost and easy-to-deploy. Spectrum interference

\r\nissue becomes more critical in peace with the value-added multimedia

\r\nservices growing up increasingly in two-tier cellular networks.

\r\nSpectrum allocation is one of effective methods in interference

\r\nmitigation technology. This paper proposes a game-theory-based on

\r\nOFDMA downlink spectrum allocation aiming at reducing co-channel

\r\ninterference in two-tier femtocell networks. The framework is

\r\nformulated as a non-cooperative game, wherein the femto base

\r\nstations are players and frequency channels available are strategies.

\r\nThe scheme takes full account of competitive behavior and

\r\nfairness among stations. In addition, the utility function reflects

\r\nthe interference from the standpoint of channels essentially. This

\r\nwork focuses on co-channel interference and puts forward a negative

\r\nlogarithm interference function on distance weight ratio aiming

\r\nat suppressing co-channel interference in the same layer network.

\r\nThis scenario is more suitable for actual network deployment and

\r\nthe system possesses high robustness. According to the proposed

\r\nmechanism, interference exists only when players employ the same

\r\nchannel for data communication. This paper focuses on implementing

\r\nspectrum allocation in a distributed fashion. Numerical results show

\r\nthat signal to interference and noise ratio can be obviously improved

\r\nthrough the spectrum allocation scheme and the users quality of

\r\nservice in downlink can be satisfied. Besides, the average spectrum

\r\nefficiency in cellular network can be significantly promoted as

\r\nsimulations results shown.","references":"[1] R. F. Kayser, D. A. Yang, and D. A. Yaag, \u201cNational telecommunications\r\nand information administration,\u201d Department of Commerce, 2011.\r\n[2] L. Wang, C. Li, Y. Zhang, and G. Gui, \u201cGame-theoretic social-aware\r\nresource allocation for device-to-device communications underlaying\r\ncellular network,\u201d Wireless Communications and Mobile Computing, vol.\r\n2018, no. 10, pp. 1\u201312, 2018.\r\n[3] A. Y. Al-Zahrani and F. R. Yu, \u201cAn energy-efficient resource allocation\r\nand interference management scheme in green heterogeneous networks\r\nusing game theory,\u201d IEEE Transactions on Vehicular Technology,\r\nvol. 65, no. 7, pp. 5384\u20135396, 2016.\r\n[4] C. Niu, Y. Li, R. Q. Hu, and F. Ye, \u201cFast and efficient radio\r\nresource allocation in dynamic ultra-dense heterogeneous networks,\u201d\r\nIEEE Access, vol. 5, no. 99, pp. 1911\u20131924, 2017.\r\n[5] M. Peng, C. Wang, J. Li, H. Xiang, and V. Lau, \u201cRecent advances\r\nin underlay heterogeneous networks: Interference control, resource\r\nallocation, and self-organization,\u201d IEEE Communications Surveys and\r\nTutorials, vol. 17, no. 2, pp. 700\u2013729, 2015.\r\n[6] X. Xie, M. Peng, Y. Li, W. Wang, and H. V. Poor, \u201cChannel estimation\r\nfor two-way relay networks in the presence of synchronization errors,\u201d\r\nIEEE Transactions on Signal Processing, vol. 62, no. 23, pp. 6235\u20136248,\r\n2014.\r\n[7] W. Li and Y. Li, \u201cA new algorithm for spectrum detection in cognitive\r\nradio system,\u201d Applied science and technology, vol. 38, no. 1, pp. 49\u201353,\r\n2011.\r\n[8] Q. Sun, Y. Tian, and M. Diao, \u201cCooperative localization algorithm based\r\non hybrid topology architecture for multiple mobile robot system,\u201d IEEE\r\nInternet of Things Journal, vol. PP, no. 99, pp. 1\u20131.\r\n[9] J. Neel, V. Mprg, Tech, J. H. Reed, Mprg, V. Tech, and R. P. Gilles,\r\n\u201cThe role of game theory in the analysis of software radio networks,\u201d\r\nRevista Medica De Chile, vol. 118, no. 3, pp. 313\u2013319, 2002.\r\n[10] J. O. Neel, J. H. Reed, and R. P. Gilles, \u201cConvergence of cognitive radio\r\nnetworks,\u201d Wcnc March, vol. 4, pp. 2250\u20132255 Vol.4, 2004.\r\n[11] N. Nie and C. Comaniciu, \u201cAdaptive channel allocation spectrum\r\netiquette for cognitive radio networks,\u201d Mobile Networks and\r\nApplications, vol. 11, no. 6, pp. 779\u2013797, 2006.\r\n[12] Y. JIa and Yue, \u201cDynamic overlapped spectrum allocation based on\r\npotential game in cognitive radio networks,\u201d High Technology Letters,\r\nvol. 20, no. 4, 2014.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 150, 2019"}