Abstract

In this paper, a joint spatio–radio frequency resource allocation and hybrid beamforming scheme for the massive multiple-input multiple-output (MIMO) systems is proposed. We consider limited feedback two-stage hybrid beamformimg for decomposing the precoding matrix at the base-station. To reduce the channel state information (CSI) feedback of massive MIMO, we utilize the channel covariance-based RF precoding and beam selection. This beam selection process minimizes the inter-group interference. The regularized block diagonalization can mitigate the inter-group interference, but requires substantial overhead feedback. We use channel covariance-based eigenmodes and discrete Fourier transforms (DFT) to reduce the feedback overhead and design a simplified analog precoder. The columns of the analog beamforming matrix are selected based on the users’ grouping performed by the K-mean unsupervised machine learning algorithm. The digital precoder is designed with joint optimization of intra-group user utility function. It has been shown that more than 50 % feedback overhead is reduced by the eigenmodes-based analog precoder design. The joint beams, users scheduling and limited feedbacK-based hybrid precoding increases the sum-rate by 27 . 6 % compared to the sum-rate of one-group case, and reduce the feedback overhead by 62 . 5 % compared to the full CSI feedback.

Highlights

  • The scarcity of available frequency band for wireless communications has led to the inclusion of millimeter Wave frequencies in cellular communications

  • The large number of antennas in massive multiple-input multiple-output (MIMO) systems enable the use of the eigenmodes of the channel covariance matrix, i.e., Bk,n comprises of the columns of the discrete Fourier transforms (DFT) matrix [6]

  • To approximate the optimal solution to this mixed integer programming problem, we summarize our proposed algorithm below: The analog precoder is formed by selecting K g columns of DFT matrix of eigenvectors of channel covariance matrix R g of users’ group g in (41) to minimize the inter-group interference I g, min

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Summary

Introduction

The scarcity of available frequency band for wireless communications has led to the inclusion of millimeter Wave (mmWave) frequencies in cellular communications. The hybrid beamforming can be realized by using MU-MIMO precoding as baseband digital precoding and the statistical channel state information-based pre-beamforming as RF analog precoding This limited feedback (due to average CSI) configuration is suited for massive MIMO mmWave systems with a large number of antennas but relatively small number of RF chains [3]. The provided solutions require full instantaneous CSI at the transmitter and receiver, which, in case of the massive MIMO, consists of large number of pilot transmission in downlink and channel information feedback in the uplink. We develop a K-Mean algorithm based unsupervised machine learning scheme for users grouping These users groups are used to form the limited feedback (statistical channel state information) based analog beamforming matrix. E{·} represents the expectation with respect to the random variable within the brackets

System Model
H DB H AB H
Channel Model
Problem Formulation
Relaxed-Convex Transformation
Suboptimal Solution
Machine Learning
Simulation Results
Conclusions
Full Text
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