User-centric Clustering and Beamforming for Energy Efficiency Optimization in Cloud-RAN

User-centric and energy efficient are becoming two foremost design principles in the cloud radio access networks (Cloud-RAN). In this paper, we thus consider the problem of how to assign each user to several preferred remote radio heads (RRHs) and design the corresponding beamforming coefficients in a user-centric and energy efficient manner. We formulate this problem as a joint clustering and beamforming optimization problem, with the objective to maximize the energy efficiency (EE) while satisfying the users’ quality of service (QoS) requirement and respecting the RRHs’ transmit power limits. We first transform it into an equivalent parametric subtractive problem using the approach in fractional programming, and then it is cast into a tractable convex optimization problem by introducing a lower bound of the objective function. Finally, the structure of the optimal solution is derived and a two-tier iterative scheme is developed to find the clustering pattern and beamforming coefficients that maximize EE. Specially, we derive a RRH-user association threshold, based on which the RRH clustering pattern and the corresponding beamforming coefficients can be simultaneously determined. Through simulations, we show the superior performance of the proposed user-centric clustering and beamforming scheme in Cloud-RAN.

[1]  Cunqing Hua,et al.  Joint Fronthaul Multicast Beamforming and User-Centric Clustering in Downlink C-RANs , 2017, IEEE Transactions on Wireless Communications.

[2]  Albrecht J. Fehske,et al.  Bit per Joule efficiency of cooperating base stations in cellular networks , 2010, 2010 IEEE Globecom Workshops.

[3]  Mehdi Bennis,et al.  Dynamic Coalition Formation for Network MIMO in Small Cell Networks , 2013, IEEE Transactions on Wireless Communications.

[4]  Xiaohu Ge,et al.  Energy Efficiency Challenges of 5G Small Cell Networks , 2017, IEEE Communications Magazine.

[5]  Emil Björnson,et al.  Joint Precoding and Load Balancing Optimization for Energy-Efficient Heterogeneous Networks , 2015, IEEE Transactions on Wireless Communications.

[6]  Wei Yu,et al.  Sparse Beamforming and User-Centric Clustering for Downlink Cloud Radio Access Network , 2014, IEEE Access.

[7]  Supeng Leng,et al.  Joint Scheduling and Beamforming Coordination in Cloud Radio Access Networks With QoS Guarantees , 2016, IEEE Transactions on Vehicular Technology.

[8]  James Gross,et al.  RRH Clustering and Transmit Precoding for Interference-Limited 5G CRAN Downlink , 2015, 2015 IEEE Globecom Workshops (GC Wkshps).

[9]  Zhengang Pan,et al.  Toward green and soft: a 5G perspective , 2014, IEEE Communications Magazine.

[10]  Xiaojun Yuan,et al.  Advances and challenges toward a scalable cloud radio access network , 2016, IEEE Communications Magazine.

[11]  Dirk T. M. Slock,et al.  Sum Rate maximization in the noisy MIMO interfering broadcast channel with partial CSIT via the expected weighted MSE , 2012, 2012 International Symposium on Wireless Communication Systems (ISWCS).

[12]  Ling Qiu,et al.  Energy Efficiency Optimization for MIMO Broadcast Channels , 2012, IEEE Trans. Wirel. Commun..

[13]  Ali Imran,et al.  Coordinated Multi-Point Clustering Schemes: A Survey , 2017, IEEE Communications Surveys & Tutorials.

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

[15]  Stephen P. Boyd,et al.  Convex Optimization , 2004, Algorithms and Theory of Computation Handbook.

[16]  Vijay K. Bhargava,et al.  Joint Optimization of Clustering and Cooperative Beamforming in Green Cognitive Wireless Networks , 2014, IEEE Transactions on Wireless Communications.

[17]  Dimitri P. Bertsekas,et al.  Nonlinear Programming , 1997 .

[18]  T.K.Y. Lo,et al.  Maximum ratio transmission , 1999, 1999 IEEE International Conference on Communications (Cat. No. 99CH36311).

[19]  Dario Pompili,et al.  Elastic resource utilization framework for high capacity and energy efficiency in cloud RAN , 2016, IEEE Communications Magazine.

[20]  Wei Yu,et al.  Content-Centric Sparse Multicast Beamforming for Cache-Enabled Cloud RAN , 2015, IEEE Transactions on Wireless Communications.

[21]  Qiang Li,et al.  Dynamic base station clustering and beamforming for an uplink SIMO cloud radio access network , 2014, 2014 IEEE International Conference on Communiction Problem-solving.

[22]  P. Tseng Convergence of a Block Coordinate Descent Method for Nondifferentiable Minimization , 2001 .

[23]  Julien Mairal,et al.  Optimization with Sparsity-Inducing Penalties , 2011, Found. Trends Mach. Learn..

[24]  Chengwen Xing,et al.  Energy Efficient Transmission in Multi-User MIMO Relay Channels With Perfect and Imperfect Channel State Information , 2017, IEEE Transactions on Wireless Communications.

[25]  Junzhou Huang,et al.  The Benefit of Group Sparsity , 2009 .

[26]  Jeffrey G. Andrews,et al.  Networked MIMO with clustered linear precoding , 2008, IEEE Transactions on Wireless Communications.

[27]  Long Bao Le,et al.  Energy-efficient coordinated transmission for Cloud-RANs: Algorithm design and trade-off , 2014, 2014 48th Annual Conference on Information Sciences and Systems (CISS).

[28]  Vincent K. N. Lau,et al.  Backhaul Limited Asymmetric Cooperation for MIMO Cellular Networks via Semidefinite Relaxation , 2014, IEEE Transactions on Signal Processing.

[29]  Zhongding Lei,et al.  Coordinated Multipoint Transmission with Limited Backhaul Data Transfer , 2013, IEEE Transactions on Wireless Communications.

[30]  Wei Yu,et al.  Sparse beamforming for limited-backhaul network MIMO system via reweighted power minimization , 2013, 2013 IEEE Global Communications Conference (GLOBECOM).

[31]  Constantinos B. Papadias,et al.  Advanced coordinated beamforming for the downlink of future LTE cellular networks , 2016, IEEE Communications Magazine.