Abstract

Cell-Free Massive multiple-input multiple-output (MIMO) and reconfigurable intelligent surface (RIS) are two promising technologies for application to beyond-5G networks. This paper considers Cell-Free Massive MIMO systems with the assistance of an RIS for enhancing the system performance under the presence of spatial correlation among the engineered scattering elements of the RIS. Distributed maximum-ratio processing is considered at the access points (APs). We introduce an <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">aggregated channel</i> estimation approach that provides sufficient information for data processing with the main benefit of reducing the overhead required for channel estimation. The considered system is studied by using asymptotic analysis which lets the number of APs and/or the number of RIS elements grow large. A lower bound for the channel capacity is obtained for a finite number of APs and engineered scattering elements of the RIS, and closed-form expressions for the uplink and downlink ergodic net throughput are formulated in terms of only the channel statistics. Based on the obtained analytical frameworks, we unveil the impact of channel correlation, the number of RIS elements, and the pilot contamination on the net throughput of each user. In addition, a simple control scheme for optimizing the configuration of the engineered scattering elements of the RIS is proposed, which is shown to increase the channel estimation quality, and, hence, the system performance. Numerical results demonstrate the effectiveness of the proposed system design and performance analysis. In particular, the performance benefits of using RISs in Cell-Free Massive MIMO systems are confirmed, especially if the direct links between the APs and the users are of insufficient quality with high probability.

Highlights

  • In the last few decades, we have witnessed an exponential growth of the demand for wireless communication systems that provide reliable communications and ensure ubiquitous coverage, high spectral efficiency and low latency [2]

  • To simulate a harsh communication environment, the M access points (APs) are uniformly distributed in the sub-region x, y ∈ [−0.75, −0.5] km, while the K users are uniformly distributed in the sub-region x, y ∈ [0.375, 0.75] km

  • We have considered an reconfigurable intelligent surface (RIS)-assisted Cell-Free Massive multiple-input multiple-output (MIMO) system that operates according to the timedivision duplexing (TDD) mode

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Summary

INTRODUCTION

In the last few decades, we have witnessed an exponential growth of the demand for wireless communication systems that provide reliable communications and ensure ubiquitous coverage, high spectral efficiency and low latency [2]. Recent results in the context of single-input single-output (SISO) and multi-user MIMO systems have, shown that designs for the engineered scattering elements of the RIS that are based on statistical CSI may be of practical interest and provide good performance [18], [27]–[29]. No prior work has analyzed the performance of RIS-assisted Cell-Free Massive MIMO systems in the presence of spatially-correlated channels. In this work, motivated by these considerations, we introduce an analytical framework for analyzing and optimizing the uplink and downlink transmissions of RIS-assisted Cell-Free Massive MIMO systems under spatially correlated channels and in the presence of direct links subject to the presence of blockages. We assume that channel reciprocity holds in the consisted system model

Channel Model
Uplink Pilot Training Phase
UPLINK DATA TRANSMISSION AND PERFORMANCE ANALYSIS WITH MR COMBINING
Uplink Data Transmission Phase
Asymptotic Analysis of the Uplink Received Signal
Uplink Ergodic Net Throughput with a Finite Number of APs and RIS Elements
DOWNLINK DATA TRANSMISSION AND PERFORMANCE ANALYSIS WITH MR PRECODING
Asymptotic Analysis of the Downlink Received Signal
Downlink Ergodic Net Throughput with a Finite Number of APs and RIS Elements
NUMERICAL RESULTS
CONCLUSION
Proof of Corollary 1
Proof of Corollary 2
Proof of Theorem 2
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