Robust Hybrid Analog/Digital Beamforming for Uplink Massive-MIMO with Imperfect CSI

In this paper, we study the design of hybrid analog/digital beamformers for uplink connection in massive multiple-input multiple-output (MIMO) systems under imperfect channel state information (CSI). The norm-bounded channel error model is used to capture characteristics of imperfect CSI in practical systems. The objective function is formulated based on the minimum mean squared error (MMSE) worst-case robustness. We consider both single user (SU) and multiuser (MU) reception modes of a millimeter-Wave (mmWave) massive-MIMO base station (BS). For the SU scenario, we study hierarchical beamformer optimization as well as joint precoder/combiner optimization for users with limited and extended computational capabilities, respectively. These optimization techniques are subsequently extended to the MU case where a new hybrid robust combiner design is proposed. Simulation results are presented confirming the superiority of our designs when compared to recent robust hybrid designs in the literature.

[1]  Rahim Tafazolli,et al.  Low-Complexity and Robust Hybrid Beamforming Design for Multi-Antenna Communication Systems , 2018, IEEE Transactions on Wireless Communications.

[2]  Upamanyu Madhow,et al.  Indoor Millimeter Wave MIMO: Feasibility and Performance , 2011, IEEE Transactions on Wireless Communications.

[3]  Mostafa Shahabinejad,et al.  Quasi-orthogonal space-frequency and space-time-frequency block codes with modified performance and simplified decoder , 2017, IET Commun..

[4]  Jiaheng Wang,et al.  Robust MMSE Precoding in MIMO Channels With Pre-Fixed Receivers , 2010, IEEE Transactions on Signal Processing.

[5]  Erik G. Larsson,et al.  Massive MIMO for next generation wireless systems , 2013, IEEE Communications Magazine.

[6]  Jun Zhang,et al.  Hybrid Beamforming for Millimeter Wave Systems Using the MMSE Criterion , 2019, IEEE Transactions on Communications.

[7]  Mostafa Shahabinejad,et al.  On the coding advantages of the quasi-orthogonal space-frequency block codes , 2014, IET Commun..

[8]  R.W. Heath,et al.  60 GHz wireless communications: emerging requirements and design recommendations , 2007, IEEE Vehicular Technology Magazine.

[9]  Jiaheng Wang,et al.  Joint Optimization of the Worst-Case Robust MMSE MIMO Transceiver , 2011, IEEE Signal Processing Letters.

[10]  Limin Xiao,et al.  Robust and Low Complexity Hybrid Beamforming for Uplink Multiuser MmWave MIMO Systems , 2016, IEEE Communications Letters.

[11]  Siamak Talebi,et al.  On permutation of space-time-frequency block codings , 2014, IET Commun..

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

[13]  Farhan Khalid,et al.  Hybrid Beamforming for Millimeter Wave Massive Multiuser MIMO Systems Using Regularized Channel Diagonalization , 2019, IEEE Wireless Communications Letters.

[14]  Alireza Morsali,et al.  A New Design Criterion for Linear Receiver STBCs Based on Full-Rank Spaces , 2015, IEEE Communications Letters.

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

[16]  Shahid Mumtaz,et al.  Millimeter-Wave Massive MIMO Communication for Future Wireless Systems: A Survey , 2018, IEEE Communications Surveys & Tutorials.

[17]  Yonina C. Eldar Least-squares inner product shaping , 2002, Linear Algebra and its Applications.

[18]  Benoit Champagne,et al.  Realizing Fully Digital Precoders in Hybrid A/D Architecture With Minimum Number of RF Chains , 2017, IEEE Communications Letters.

[19]  Robert W. Heath,et al.  MIMO Precoding and Combining Solutions for Millimeter-Wave Systems , 2014, IEEE Communications Magazine.

[20]  Siamak Talebi,et al.  Coding advantage decomposition inequality for the space-frequency block codes , 2014, IET Commun..

[21]  Siamak Talebi,et al.  Delay–Interleaved Cooperative Relay Networks , 2014, IEEE Communications Letters.