Price-based interference control for two-tier femtocell networks

Abstract This paper presents a novel price-based interference control scheme for two-tier femtocell networks, aiming to limit the interference from femtocell users to macrocell base station (MBS). Assuming that the MBS protects itself by pricing the interference power from the femtocell users, the femtocell users set their transmission powers by competitively selecting the interference power fractions under the constraint of the total tolerable interference. The problem of femtocell users’ competitive interference occupation process is cast into a non-cooperative interference power purchase game, and the existence and uniqueness of the Nash equilibrium is proved. Then, a distributed interference power fraction iterative algorithm is developed to find the Nash equilibrium of the game, and the convergence analyses in both synchronous and asynchronous cases are presented. The distributed implementations are also shown. Simulation results show the convergence of the interference power fraction iterative algorithm and the effectiveness of the proposed interference control scheme.

[1]  J. Goodman Note on Existence and Uniqueness of Equilibrium Points for Concave N-Person Games , 1965 .

[2]  J. Nash,et al.  NON-COOPERATIVE GAMES , 1951, Classics in Game Theory.

[3]  Charles R. Johnson,et al.  Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.

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

[5]  Holger Claussen,et al.  Effects of User-Deployed, Co-Channel Femtocells on the Call Drop Probability in a Residential Scenario , 2007, 2007 IEEE 18th International Symposium on Personal, Indoor and Mobile Radio Communications.

[6]  Dusit Niyato,et al.  Competitive spectrum sharing in cognitive radio networks: a dynamic game approach , 2008, IEEE Transactions on Wireless Communications.

[7]  Gerard Debreu,et al.  A Social Equilibrium Existence Theorem* , 1952, Proceedings of the National Academy of Sciences.

[8]  Ying-Chang Liang,et al.  Distributed Power Control for Spectrum-Sharing Femtocell Networks Using Stackelberg Game , 2011, 2011 IEEE International Conference on Communications (ICC).

[9]  Jeffrey G. Andrews,et al.  Spectrum allocation in tiered cellular networks , 2009, IEEE Transactions on Communications.

[10]  Sundeep Rangan Femto-macro cellular interference control with subband scheduling and interference cancelation , 2010, 2010 IEEE Globecom Workshops.

[11]  Jeffrey G. Andrews,et al.  Open vs. Closed Access Femtocells in the Uplink , 2010, IEEE Transactions on Wireless Communications.

[12]  Jong-Gwan Yook,et al.  Interference mitigation using uplink power control for two-tier femtocell networks , 2009, IEEE Transactions on Wireless Communications.

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

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

[15]  John N. Tsitsiklis,et al.  Parallel and distributed computation , 1989 .

[16]  Gang Feng,et al.  Channel-Aware Access for Cognitive Radio Networks , 2009, IEEE Transactions on Vehicular Technology.

[17]  Kang G. Shin,et al.  Adaptive Interference Management of OFDMA Femtocells for Co-Channel Deployment , 2011, IEEE Journal on Selected Areas in Communications.