Joint Design of Fronthauling and Hybrid Beamforming for Downlink C-RAN Systems

Hybrid beamforming is known to be a cost-effective and wide-spread solution for a system with large-scale antenna arrays. This paper studies the optimization of the analog and digital components of the hybrid beamforming solution for remote radio heads (RRHs) in a downlink cloud radio access network architecture. Digital processing is carried out at a baseband processing unit (BBU) in the “cloud,” and the precoded baseband signals are quantized prior to transmission to the RRHs via finite-capacity fronthaul links. In this system, we consider two different channel state information (CSI) scenarios: 1) ideal CSI at the BBU and 2) imperfect effective CSI. The optimization of digital beamforming and fronthaul quantization strategies at the BBU as well as analog radio-frequency (RF) beamforming at the RRHs is a coupled problem since the effect of the quantization noise at the receiver depends on the precoding matrices. The resulting joint optimization problem is examined with the goal of maximizing the weighted downlink sum-rate and the network energy efficiency. Fronthaul capacity and per-RRH power constraints are enforced along with constant modulus constraint on the RF beamforming matrices. For the case of perfect CSI, a block coordinate descent scheme is proposed based on the weighted minimum-mean-square-error approach by relaxing the constant modulus constraint of the analog beamformer. Also, we present the impact of imperfect CSI on the weighted sum-rate and network energy efficiency performance, and the algorithm is extended by applying the sample average approximation. The numerical results confirm the effectiveness of the proposed scheme and show that the proposed algorithm is robust to estimation errors.

[1]  Wei-Ho Chung,et al.  Hybrid RF-Baseband Precoding for Cooperative Multiuser Massive MIMO Systems With Limited RF Chains , 2017, IEEE Transactions on Communications.

[2]  Salman Durrani,et al.  Energy Efficiency Maximization for Downlink Cloud Radio Access Networks With Data Sharing and Data Compression , 2018, IEEE Transactions on Wireless Communications.

[3]  Babak Hassibi,et al.  Fundamental Limits in MIMO Broadcast Channels , 2007, IEEE Journal on Selected Areas in Communications.

[4]  Thomas M. Cover,et al.  Network Information Theory , 2001 .

[5]  Shlomo Shamai,et al.  Fronthaul Compression for Cloud Radio Access Networks: Signal processing advances inspired by network information theory , 2014, IEEE Signal Processing Magazine.

[6]  Inkyu Lee,et al.  Joint Design of Fronthaul and Access Links for C-RAN With Wireless Fronthauling , 2016, IEEE Signal Processing Letters.

[7]  Robert W. Heath,et al.  Spatially Sparse Precoding in Millimeter Wave MIMO Systems , 2013, IEEE Transactions on Wireless Communications.

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

[9]  Shlomo Shamai,et al.  Joint Precoding and Multivariate Backhaul Compression for the Downlink of Cloud Radio Access Networks , 2013, IEEE Transactions on Signal Processing.

[10]  Wei Yu,et al.  Channel Diagonalization for Cloud Radio Access , 2018, IEEE Wireless Communications Letters.

[11]  Jaehoon Jung,et al.  New Beamforming Designs for Joint Spatial Division and Multiplexing in Large-Scale MISO Multi-User Systems , 2017, IEEE Transactions on Wireless Communications.

[12]  Elisabeth de Carvalho,et al.  Hybrid Precoding for Massive MIMO Systems in Cloud RAN Architecture with Capacity-Limited Fronthauls , 2017, ArXiv.

[13]  Shlomo Shamai,et al.  Downlink Multicell Processing with Limited-Backhaul Capacity , 2009, EURASIP J. Adv. Signal Process..

[14]  Inkyu Lee,et al.  Hybrid Analog–Digital Filter Designs for mmWave Multipair Two-Way Relaying Systems , 2018, IEEE Transactions on Vehicular Technology.

[15]  Andreas F. Molisch,et al.  Hybrid Beamforming for Massive MIMO: A Survey , 2017, IEEE Communications Magazine.

[16]  Vincent K. N. Lau,et al.  Impact of CSI Knowledge on the Codebook-Based Hybrid Beamforming in Massive MIMO , 2016, IEEE Transactions on Signal Processing.

[17]  Robert W. Heath,et al.  Limited Feedback Hybrid Precoding for Multi-User Millimeter Wave Systems , 2014, IEEE Transactions on Wireless Communications.

[18]  Vincent K. N. Lau,et al.  Stochastic Successive Convex Optimization for Two-Timescale Hybrid Precoding in Massive MIMO , 2018, IEEE Journal of Selected Topics in Signal Processing.

[19]  Gokhan M. Guvensen,et al.  A Generalized Framework on Beamformer Design and CSI Acquisition for Single-Carrier Massive MIMO Systems in Millimeter Wave Channels , 2016, 2016 IEEE Globecom Workshops (GC Wkshps).

[20]  Inkyu Lee,et al.  Joint Designs of Fronthaul Compression and Precoding for Full-Duplex Cloud Radio Access Networks , 2016, IEEE Wireless Communications Letters.

[21]  Xiaodai Dong,et al.  Low-Complexity Hybrid Precoding in Massive Multiuser MIMO Systems , 2014, IEEE Wireless Communications Letters.

[22]  Yongming Huang,et al.  Joint user scheduling and hybrid precoding design for MIMO C-RAN , 2017, 2017 9th International Conference on Wireless Communications and Signal Processing (WCSP).

[23]  Khaled Ben Letaief,et al.  Alternating Minimization Algorithms for Hybrid Precoding in Millimeter Wave MIMO Systems , 2016, IEEE Journal of Selected Topics in Signal Processing.

[24]  François Gagnon,et al.  Joint Virtual Computing and Radio Resource Allocation in Limited Fronthaul Green C-RANs , 2018, IEEE Transactions on Wireless Communications.

[25]  Geoffrey Ye Li,et al.  An Overview of Massive MIMO: Benefits and Challenges , 2014, IEEE Journal of Selected Topics in Signal Processing.

[26]  Robert W. Heath,et al.  Exploiting Spatial Channel Covariance for Hybrid Precoding in Massive MIMO Systems , 2017, IEEE Transactions on Signal Processing.

[27]  Inkyu Lee,et al.  Joint design of digital and analog processing for downlink C-RAN with large-scale antenna arrays , 2017, 2017 IEEE 18th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC).

[28]  Le-Nam Tran,et al.  Energy Efficiency Maximization for C-RANs: Discrete Monotonic Optimization, Penalty, and $\ell _{0}$-Approximation Methods , 2018, IEEE Transactions on Signal Processing.

[29]  Inkyu Lee,et al.  NOMA Systems With Content-Centric Multicast Transmission for C-RAN , 2018, IEEE Wireless Communications Letters.

[30]  Shlomo Shamai,et al.  Joint Signal and Channel State Information Compression for the Backhaul of Uplink Network MIMO Systems , 2013, IEEE Transactions on Wireless Communications.

[31]  Wei Yu,et al.  Fronthaul Compression and Transmit Beamforming Optimization for Multi-Antenna Uplink C-RAN , 2016, IEEE Transactions on Signal Processing.

[32]  Mikael Skoglund,et al.  Subspace Estimation and Decomposition for Large Millimeter-Wave MIMO Systems , 2015, IEEE Journal of Selected Topics in Signal Processing.

[33]  Jaehoon Jung,et al.  A New Energy-Efficient Beamforming Strategy for MISO Interfering Broadcast Channels Based on Large Systems Analysis , 2016, IEEE Transactions on Wireless Communications.

[34]  Yonina C. Eldar,et al.  Hybrid Analog-Digital Beamforming for Massive MIMO Systems , 2017, ArXiv.

[35]  Derrick Wing Kwan Ng,et al.  Multi-User Precoding and Channel Estimation for Hybrid Millimeter Wave Systems , 2017, IEEE Journal on Selected Areas in Communications.

[36]  Wei Yu,et al.  Cloud radio access network: Virtualizing wireless access for dense heterogeneous systems , 2015, Journal of Communications and Networks.

[37]  Xiaodai Dong,et al.  How to approach zero-forcing under RF chain limitations in large mmWave multiuser systems? , 2014, 2014 IEEE/CIC International Conference on Communications in China (ICCC).

[38]  Wei Yu,et al.  Hybrid Digital and Analog Beamforming Design for Large-Scale Antenna Arrays , 2016, IEEE Journal of Selected Topics in Signal Processing.