Sensitivity and Asymptotic Analysis of Inter-Cell Interference Against Pricing for Multi-Antenna Base Stations

We thoroughly investigate the downlink beamforming problem of a two-tier network in a reversed time-division duplex system, where the interference leakage from a tier-2 base station (BS) toward nearby uplink tier-1 BSs is controlled through pricing. We show that soft interference control through the pricing mechanism does not undermine the ability to regulate interference leakage while giving flexibility to sharing the spectrum. Then, we analyze and demonstrate how the interference leakage is related to the variations of both the interference prices and the power budget. Moreover, we derive a closed-form expression for the interference leakage in an asymptotic case, where both the charging BSs and the charged BS are equipped with a large number of antennas, which provides further insights into the lowest possible interference leakage that can be achieved by the pricing mechanism.

[1]  Yuanming Shi,et al.  Group Sparse Beamforming for Green Cloud-RAN , 2013, IEEE Transactions on Wireless Communications.

[2]  Stephen P. Boyd,et al.  Semidefinite Programming , 1996, SIAM Rev..

[3]  Erik G. Larsson,et al.  Energy and Spectral Efficiency of Very Large Multiuser MIMO Systems , 2011, IEEE Transactions on Communications.

[4]  W. Utschick,et al.  Distributed resource allocation schemes , 2009, IEEE Signal Processing Magazine.

[5]  Catherine Rosenberg,et al.  Revisiting Scheduling in Heterogeneous Networks When the Backhaul Is Limited , 2015, IEEE Journal on Selected Areas in Communications.

[6]  Jeffrey G. Andrews,et al.  User Association and Interference Management in Massive MIMO HetNets , 2015, IEEE Transactions on Communications.

[7]  Tommy Svensson,et al.  The role of small cells, coordinated multipoint, and massive MIMO in 5G , 2014, IEEE Communications Magazine.

[8]  Chen Ming,et al.  Pricing-Based Distributed Energy-Efficient Beamforming for MISO Interference Channels , 2016, IEEE Journal on Selected Areas in Communications.

[9]  Ana García Armada,et al.  Interference Pricing Mechanism for Downlink Multicell Coordinated Beamforming , 2014, IEEE Transactions on Communications.

[10]  Shi Jin,et al.  Performance enhanced transmission in device-to-device communications: Beamforming or interference cancellation? , 2012, 2012 IEEE Global Communications Conference (GLOBECOM).

[11]  Sangarapillai Lambotharan,et al.  Game theoretic analysis for MIMO radars with multiple targets , 2016, IEEE Transactions on Aerospace and Electronic Systems.

[12]  Mérouane Debbah,et al.  Massive MIMO in the UL/DL of Cellular Networks: How Many Antennas Do We Need? , 2013, IEEE Journal on Selected Areas in Communications.

[13]  Antonia Maria Tulino,et al.  Random Matrix Theory and Wireless Communications , 2004, Found. Trends Commun. Inf. Theory.

[14]  Choong Seon Hong,et al.  Power Control for Interference Management and QoS Guarantee in Heterogeneous Networks , 2015, IEEE Communications Letters.

[15]  Rui Chang,et al.  Interference coordination and cancellation for 4G networks , 2009, IEEE Communications Magazine.

[16]  Wei Yu,et al.  Transmitter Optimization for the Multi-Antenna Downlink With Per-Antenna Power Constraints , 2007, IEEE Transactions on Signal Processing.

[17]  Long Bao Le,et al.  Massive MIMO and mmWave for 5G Wireless HetNet: Potential Benefits and Challenges , 2016, IEEE Vehicular Technology Magazine.

[18]  Gustavo Fraidenraich,et al.  On the Exact and Approximate Eigenvalue Distribution for Sum of Wishart Matrices , 2015, IEEE Transactions on Vehicular Technology.

[19]  A. S. Madhukumar,et al.  Stackelberg Bayesian Game for Power Allocation in Two-Tier Networks , 2016, IEEE Transactions on Vehicular Technology.

[20]  Daniel Pérez Palomar,et al.  A tutorial on decomposition methods for network utility maximization , 2006, IEEE Journal on Selected Areas in Communications.

[21]  Tho Le-Ngoc,et al.  Multiuser Downlink Beamforming in Multicell Wireless Systems: A Game Theoretical Approach , 2011, IEEE Transactions on Signal Processing.

[22]  Xiaodong Wang,et al.  Pricing-Based Distributed Downlink Beamforming in Multi-Cell OFDMA Networks , 2012, IEEE Journal on Selected Areas in Communications.

[23]  Marwan Krunz,et al.  Price-Based Joint Beamforming and Spectrum Management in Multi-Antenna Cognitive Radio Networks , 2012, IEEE Journal on Selected Areas in Communications.

[24]  Mérouane Debbah,et al.  Making smart use of excess antennas: Massive MIMO, small cells, and TDD , 2013, Bell Labs Technical Journal.

[25]  Thomas L. Marzetta,et al.  Noncooperative Cellular Wireless with Unlimited Numbers of Base Station Antennas , 2010, IEEE Transactions on Wireless Communications.

[26]  Mehul Motani,et al.  Price-Based Resource Allocation for Spectrum-Sharing Femtocell Networks: A Stackelberg Game Approach , 2012, 2011 IEEE Global Telecommunications Conference - GLOBECOM 2011.

[27]  Marios Kountouris,et al.  HetNets and massive MIMO: Modeling, potential gains, and performance analysis , 2013, 2013 IEEE-APS Topical Conference on Antennas and Propagation in Wireless Communications (APWC).

[28]  Roy D. Yates,et al.  A Framework for Uplink Power Control in Cellular Radio Systems , 1995, IEEE J. Sel. Areas Commun..

[29]  Lars Thiele,et al.  Massive MIMO for interference management in heterogeneous networks , 2014, 2014 IEEE 8th Sensor Array and Multichannel Signal Processing Workshop (SAM).

[30]  Mérouane Debbah,et al.  Massive MIMO and small cells: How to densify heterogeneous networks , 2013, 2013 IEEE International Conference on Communications (ICC).

[31]  Xia Wang,et al.  Low-Complexity Stackelberg Game Approach for Energy-Efficient Resource Allocation in Heterogeneous Networks , 2014, IEEE Communications Letters.

[32]  Emre Telatar,et al.  Capacity of Multi-antenna Gaussian Channels , 1999, Eur. Trans. Telecommun..

[33]  Kai-Kit Wong,et al.  Pricing based interference control in reversed time division duplex heterogeneous networks , 2016, 2016 IEEE International Conference on Communications (ICC).