Power Control for Multi-Cell Networks With Non-Orthogonal Multiple Access

In this paper, we investigate the problems of sum power minimization and sum rate maximization for multi-cell networks with non-orthogonal multiple access. Considering the sum power minimization, we obtain closed-form solutions to the optimal power allocation strategy and then successfully transform the original problem to a linear one with a much smaller size, which can be optimally solved by using the standard interference function. To solve the nonconvex sum rate maximization problem, we first prove that the power allocation problem for a single cell is a convex problem. By analyzing the Karush–Kuhn–Tucker conditions, the optimal power allocation for users in a single cell is derived in closed form. Based on the optimal solution in each cell, a distributed algorithm is accordingly proposed to acquire efficient solutions. Numerical results verify our theoretical findings showing the superiority of our solutions compared with the orthogonal frequency division multiple access and broadcast channel.

[1]  Muhammad Imran,et al.  Non-Orthogonal Multiple Access (NOMA) for cellular future radio access , 2017 .

[2]  Di Yuan,et al.  Load Optimization With User Association in Cooperative and Load-Coupled LTE Networks , 2017, IEEE Transactions on Wireless Communications.

[3]  Shuangfeng Han,et al.  Non-orthogonal multiple access for 5G: solutions, challenges, opportunities, and future research trends , 2015, IEEE Communications Magazine.

[4]  Pingzhi Fan,et al.  On the Performance of Non-Orthogonal Multiple Access in 5G Systems with Randomly Deployed Users , 2014, IEEE Signal Processing Letters.

[5]  Ming Chen,et al.  Joint Time Allocation and Power Control in Multicell Networks With Load Coupling: Energy Saving and Rate Improvement , 2017, IEEE Transactions on Vehicular Technology.

[6]  Gerhard Fettweis,et al.  Aggregation of variables in load models for interference-coupled cellular data networks , 2012, 2012 IEEE International Conference on Communications (ICC).

[7]  Di Yuan,et al.  On Power Minimization for Non-orthogonal Multiple Access (NOMA) , 2016, IEEE Communications Letters.

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

[9]  Huiming Wang,et al.  Energy-Efficient Transmission Design in Non-orthogonal Multiple Access , 2016, IEEE Transactions on Vehicular Technology.

[10]  Linglong Dai,et al.  Dynamic Compressive Sensing-Based Multi-User Detection for Uplink Grant-Free NOMA , 2016, IEEE Communications Letters.

[11]  Chi Wan Sung,et al.  A Game-Theoretic Analysis of Uplink Power Control for a Non-Orthogonal Multiple Access System with Two Interfering Cells , 2016, 2016 IEEE 83rd Vehicular Technology Conference (VTC Spring).

[12]  Di Yuan,et al.  Power and Channel Allocation for Non-Orthogonal Multiple Access in 5G Systems: Tractability and Computation , 2016, IEEE Transactions on Wireless Communications.

[13]  Wei Xu,et al.  Fair Non-Orthogonal Multiple Access for Visible Light Communication Downlinks , 2017, IEEE Wireless Communications Letters.

[14]  Mohamed-Slim Alouini,et al.  On Multiple Users Scheduling Using Superposition Coding over Rayleigh Fading Channels , 2013, IEEE Communications Letters.

[15]  Chi Wan Sung,et al.  Distributed downlink power control for the non-orthogonal multiple access system with two interfering cells , 2016, 2016 IEEE International Conference on Communications (ICC).

[16]  Di Yuan,et al.  On Constrained Cell Load Coupling With Applications in LTE Networks , 2014, IEEE Communications Letters.

[17]  Di Yuan,et al.  Optimization approaches for planning small cell locations in load-coupled heterogeneous LTE networks , 2013, 2013 IEEE 24th Annual International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC).

[18]  Linglong Dai,et al.  Joint User Activity and Data Detection Based on Structured Compressive Sensing for NOMA , 2016, IEEE Communications Letters.

[19]  Suvra Sekhar Das,et al.  Power allocation in OFDM based NOMA systems: A DC programming approach , 2014, 2014 IEEE Globecom Workshops (GC Wkshps).

[20]  Di Yuan,et al.  Data Offloading in Load Coupled Networks: A Utility Maximization Framework , 2014, IEEE Transactions on Wireless Communications.

[21]  Victor C. M. Leung,et al.  Energy-Efficient Resource Allocation for Downlink Non-Orthogonal Multiple Access Network , 2016, IEEE Transactions on Communications.

[22]  Pingzhi Fan,et al.  Impact of User Pairing on 5G Nonorthogonal Multiple-Access Downlink Transmissions , 2016, IEEE Transactions on Vehicular Technology.

[23]  Symeon Chatzinotas,et al.  Resource Optimization in Multi-cell NOMA , 2017, ArXiv.

[24]  Di Yuan,et al.  Analysis of Cell Load Coupling for LTE Network Planning and Optimization , 2012, IEEE Transactions on Wireless Communications.

[25]  Di Yuan,et al.  Optimal Cell Clustering and Activation for Energy Saving in Load-Coupled Wireless Networks , 2015, IEEE Transactions on Wireless Communications.

[26]  H. Vincent Poor,et al.  Non-Orthogonal Multiple Access in Multi-Cell Networks: Theory, Performance, and Practical Challenges , 2016, IEEE Communications Magazine.

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

[28]  H. Vincent Poor,et al.  Precoder Design for Signal Superposition in MIMO-NOMA Multicell Networks , 2017, IEEE Journal on Selected Areas in Communications.

[29]  Octavia A. Dobre,et al.  Power-Domain Non-Orthogonal Multiple Access (NOMA) in 5G Systems: Potentials and Challenges , 2016, IEEE Communications Surveys & Tutorials.

[30]  H. Vincent Poor,et al.  Application of Non-Orthogonal Multiple Access in LTE and 5G Networks , 2015, IEEE Communications Magazine.

[31]  Anass Benjebbour,et al.  System-level performance evaluation of downlink non-orthogonal multiple access (NOMA) , 2013, 2013 IEEE 24th Annual International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC).

[32]  Satoshi Nagata,et al.  Coordinated multipoint transmission and reception in LTE-advanced: deployment scenarios and operational challenges , 2012, IEEE Communications Magazine.

[33]  Dimitri P. Bertsekas,et al.  Convex Optimization Theory , 2009 .

[34]  Tharmalingam Ratnarajah,et al.  A Minorization-Maximization Method for Optimizing Sum Rate in the Downlink of Non-Orthogonal Multiple Access Systems , 2015, IEEE Transactions on Signal Processing.

[35]  H. Vincent Poor,et al.  Coordinated Beamforming for Multi-Cell MIMO-NOMA , 2017, IEEE Communications Letters.

[36]  Ming Chen,et al.  On the Optimality of Power Allocation for NOMA Downlinks With Individual QoS Constraints , 2017, IEEE Communications Letters.

[37]  Ming Chen,et al.  Energy Efficient Non-Orthogonal Multiple Access for Machine-to-Machine Communications , 2017, IEEE Communications Letters.

[38]  Lingyang Song,et al.  Sub-Channel Assignment, Power Allocation, and User Scheduling for Non-Orthogonal Multiple Access Networks , 2016, IEEE Transactions on Wireless Communications.

[39]  Jinho Choi,et al.  Non-Orthogonal Multiple Access in Downlink Coordinated Two-Point Systems , 2014, IEEE Communications Letters.

[40]  Anass Benjebbour,et al.  Multi-User Proportional Fair Scheduling for Uplink Non-Orthogonal Multiple Access (NOMA) , 2014, 2014 IEEE 79th Vehicular Technology Conference (VTC Spring).

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

[42]  Fumiyuki Adachi,et al.  The Application of MIMO to Non-Orthogonal Multiple Access , 2015, IEEE Transactions on Wireless Communications.

[43]  Di Yuan,et al.  Power and Load Coupling in Cellular Networks for Energy Optimization , 2015, IEEE Transactions on Wireless Communications.

[44]  Anass Benjebbour,et al.  System-level performance of downlink NOMA for future LTE enhancements , 2013, 2013 IEEE Globecom Workshops (GC Wkshps).

[45]  Zhi-Quan Luo,et al.  An iteratively weighted MMSE approach to distributed sum-utility maximization for a MIMO interfering broadcast channel , 2011, 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[46]  Alireza Bayesteh,et al.  Blind detection of SCMA for uplink grant-free multiple-access , 2014, 2014 11th International Symposium on Wireless Communications Systems (ISWCS).

[47]  Ioannis Krikidis,et al.  Fairness for Non-Orthogonal Multiple Access in 5G Systems , 2015, IEEE Signal Processing Letters.

[48]  Huaping Liu,et al.  Approximate Message Passing-Based Joint User Activity and Data Detection for NOMA , 2017, IEEE Communications Letters.

[49]  George K. Karagiannidis,et al.  A Survey on Non-Orthogonal Multiple Access for 5G Networks: Research Challenges and Future Trends , 2017, IEEE Journal on Selected Areas in Communications.

[50]  Nikola Vucic,et al.  DC programming approach for resource allocation in wireless networks , 2010, 8th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks.