Rate-Splitting Multiple Access for Downlink MIMO: A Generalized Power Iteration Approach

Rate-splitting multiple access (RSMA) is a general multiple access scheme for downlink multiantenna systems embracing both classical spatial division multiple access and more recent non-orthogonal multiple access. Finding a linear precoding strategy that maximizes the sum spectral efficiency of RSMA is a challenging yet significant problem. In this paper, we put forth a novel precoder design framework that jointly finds the linear precoders for the common and private messages for RSMA. Our approach is first to approximate the non-smooth minimum function part in the sum spectral efficiency of RSMA using a LogSumExp technique. Then, we reformulate the sum spectral efficiency maximization problem as a form of the log-sum of Rayleigh quotients to convert it into a tractable form. By interpreting the first-order optimality condition of the reformulated problem as an eigenvector-dependent nonlinear eigenvalue problem, we reveal that the leading eigenvector of the derived optimality condition is a local optimal solution. To find the leading eigenvector, we propose an algorithm inspired by a power iteration. Simulation results show that the proposed RSMA transmission strategy provides significant improvement in the sum spectral efficiency compared to the state-of-the-art RSMA transmission methods.

[1]  Dong Ku Kim,et al.  Secure Transmission for Hierarchical Information Accessibility in Downlink MU-MIMO , 2021, IEEE Transactions on Communications.

[2]  Jinseok Choi,et al.  MIMO Design for Internet of Things: Joint Optimization of Spectral Efficiency and Error Probability in Finite Blocklength Regime , 2021, IEEE Internet of Things Journal.

[3]  H. Vincent Poor,et al.  Sum Spectral Efficiency Optimization for Rate Splitting in Downlink MU-MISO: A Generalized Power Iteration Approach , 2021, 2021 IEEE Wireless Communications and Networking Conference Workshops (WCNCW).

[4]  Bruno Clerckx,et al.  Rate-Splitting Multiple Access for Multi-Antenna Joint Radar and Communications , 2021, IEEE Journal of Selected Topics in Signal Processing.

[5]  Jinseok Choi,et al.  Sum Secrecy Spectral Efficiency Maximization in Downlink MU-MIMO: Colluding Eavesdroppers , 2021, IEEE Transactions on Vehicular Technology.

[6]  Heedong Do,et al.  Terahertz Line-Of-Sight MIMO Communication: Theory and Practical Challenges , 2020, IEEE Commun. Mag..

[7]  Yavuz Yapici,et al.  Max-Min Fair Beamforming for Cooperative Multigroup Multicasting With Rate-Splitting , 2020, IEEE Transactions on Wireless Communications.

[8]  Jinseok Choi,et al.  SecureLinQ: Joint Precoding and Scheduling for Secure Device-to-Device Networks , 2020, IEEE Wireless Communications Letters.

[9]  Walid Saad,et al.  Downlink Sum-Rate Maximization for Rate Splitting Multiple Access (RSMA) , 2020, ICC 2020 - 2020 IEEE International Conference on Communications (ICC).

[10]  Wei Han,et al.  Rate-Splitting Multiple Access for Downlink Multi-Antenna Communications: Physical Layer Design and Link-level Simulations , 2020, 2020 IEEE 31st Annual International Symposium on Personal, Indoor and Mobile Radio Communications.

[11]  Shlomo Shamai,et al.  Rate Splitting for Multi-Antenna Downlink: Precoder Design and Practical Implementation , 2020, IEEE Journal on Selected Areas in Communications.

[12]  Bruno Clerckx,et al.  Beyond Dirty Paper Coding for Multi-Antenna Broadcast Channel With Partial CSIT: A Rate-Splitting Approach , 2019, IEEE Transactions on Communications.

[13]  Robert W. Heath,et al.  Spatial Channel Covariance Estimation for Hybrid Architectures Based on Tensor Decompositions , 2019, IEEE Transactions on Wireless Communications.

[14]  Giuseppe Caire,et al.  Joint User Selection, Power Allocation, and Precoding Design With Imperfect CSIT for Multi-Cell MU-MIMO Downlink Systems , 2019, IEEE Transactions on Wireless Communications.

[15]  Tiejun Lv,et al.  Ensuring Max–Min Fairness of UL SIMO-NOMA: A Rate Splitting Approach , 2019, IEEE Transactions on Vehicular Technology.

[16]  Walid Saad,et al.  Sum-Rate Maximization of Uplink Rate Splitting Multiple Access (RSMA) Communication , 2019, 2019 IEEE Global Communications Conference (GLOBECOM).

[17]  Symeon Chatzinotas,et al.  FPGA Acceleration for Computationally Efficient Symbol-Level Precoding in Multi-User Multi-Antenna Communication Systems , 2019, IEEE Access.

[18]  Bruno Clerckx,et al.  Rate-Splitting for Multi-Antenna Non-Orthogonal Unicast and Multicast Transmission: Spectral and Energy Efficiency Analysis , 2018, IEEE Transactions on Communications.

[19]  Zhaojun Bai,et al.  On an Eigenvector-Dependent Nonlinear Eigenvalue Problem , 2018, SIAM J. Matrix Anal. Appl..

[20]  Wei Yu,et al.  Hybrid Data-Sharing and Compression Strategy for Downlink Cloud Radio Access Network , 2018, IEEE Transactions on Communications.

[21]  Robert W. Heath,et al.  Spatial Channel Covariance Estimation for the Hybrid MIMO Architecture: A Compressive Sensing-Based Approach , 2017, IEEE Transactions on Wireless Communications.

[22]  Peng Zhang,et al.  Low-Computing-Load, High-Parallelism Detection Method Based on Chebyshev Iteration for Massive MIMO Systems With VLSI Architecture , 2017, IEEE Transactions on Signal Processing.

[23]  Bruno Clerckx,et al.  Rate-Splitting for Max-Min Fair Multigroup Multicast Beamforming in Overloaded Systems , 2017, IEEE Transactions on Wireless Communications.

[24]  Tharmalingam Ratnarajah,et al.  Rate-Splitting to Mitigate Residual Transceiver Hardware Impairments in Massive MIMO Systems , 2017, IEEE Transactions on Vehicular Technology.

[25]  Prabhu Babu,et al.  Majorization-Minimization Algorithms in Signal Processing, Communications, and Machine Learning , 2017, IEEE Transactions on Signal Processing.

[26]  Bruno Clerckx,et al.  MISO Networks With Imperfect CSIT: A Topological Rate-Splitting Approach , 2016, IEEE Transactions on Communications.

[27]  Bruno Clerckx,et al.  Rate splitting for MIMO wireless networks: a promising PHY-layer strategy for LTE evolution , 2016, IEEE Communications Magazine.

[28]  Bruno Clerckx,et al.  Sum-Rate Maximization for Linearly Precoded Downlink Multiuser MISO Systems With Partial CSIT: A Rate-Splitting Approach , 2016, IEEE Transactions on Communications.

[29]  Bruno Clerckx,et al.  Robust Transmission in Downlink Multiuser MISO Systems: A Rate-Splitting Approach , 2016, IEEE Transactions on Signal Processing.

[30]  Giuseppe Caire,et al.  A Rate Splitting Strategy for Massive MIMO With Imperfect CSIT , 2015, IEEE Transactions on Wireless Communications.

[31]  Jeffrey G. Andrews,et al.  On the Optimal Feedback Rate in Interference-Limited Multi-Antenna Cellular Systems , 2016, IEEE Transactions on Wireless Communications.

[32]  Yueping Wu,et al.  Rate Analysis of Two-Receiver MISO Broadcast Channel With Finite Rate Feedback: A Rate-Splitting Approach , 2015, IEEE Transactions on Communications.

[33]  Boyu Li,et al.  On the matrix inversion approximation based on neumann series in massive MIMO systems , 2015, 2015 IEEE International Conference on Communications (ICC).

[34]  Giuseppe Caire,et al.  Joint Spatial Division and Multiplexing—The Large-Scale Array Regime , 2013, IEEE Transactions on Information Theory.

[35]  David Gesbert,et al.  A Coordinated Approach to Channel Estimation in Large-Scale Multiple-Antenna Systems , 2012, IEEE Journal on Selected Areas in Communications.

[36]  David Gesbert,et al.  Degrees of Freedom of Time Correlated MISO Broadcast Channel With Delayed CSIT , 2012, IEEE Transactions on Information Theory.

[37]  Thomas L. Marzetta,et al.  Pilot Contamination and Precoding in Multi-Cell TDD Systems , 2009, IEEE Transactions on Wireless Communications.

[38]  H. Vincent Poor,et al.  Channel Coding Rate in the Finite Blocklength Regime , 2010, IEEE Transactions on Information Theory.

[39]  Chunhua Shen,et al.  On the Dual Formulation of Boosting Algorithms , 2009, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[40]  John M. Cioffi,et al.  Weighted Sum-Rate Maximization Using Weighted MMSE for MIMO-BC Beamforming Design , 2008, 2009 IEEE International Conference on Communications.

[41]  Hua Wang,et al.  Gaussian Interference Channel Capacity to Within One Bit , 2007, IEEE Transactions on Information Theory.

[42]  Nihar Jindal,et al.  MIMO broadcast channels with finite rate feedback , 2006, GLOBECOM '05. IEEE Global Telecommunications Conference, 2005..

[43]  Shlomo Shamai,et al.  On the achievable throughput of a multiantenna Gaussian broadcast channel , 2003, IEEE Transactions on Information Theory.

[44]  Te Sun Han,et al.  A new achievable rate region for the interference channel , 1981, IEEE Trans. Inf. Theory.