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Performance of Cell-Free Massive MIMO with Rician Fading and Phase Shifts (1903.07335v2)

Published 18 Mar 2019 in cs.IT and math.IT

Abstract: In this paper, we study the uplink (UL) and downlink (DL) spectral efficiency (SE) of a cell-free massive multiple-input-multiple-output (MIMO) system with Rician fading channels. The phase of the line-of-sight (LoS) path is modeled as a uniformly distributed random variable to take the phase-shifts due to mobility and phase noise into account. Considering the availability of prior information at the access points (APs), the phase-aware minimum mean square error (MMSE), non-aware linear MMSE (LMMSE), and least-square (LS) estimators are derived. The MMSE estimator requires perfectly estimated phase knowledge whereas the LMMSE and LS are derived without it. In the UL, a two-layer decoding method is investigated in order to mitigate both coherent and non-coherent interference. Closed-form UL SE expressions with phase-aware MMSE, LMMSE, and LS estimators are derived for maximum-ratio (MR) combining in the first layer and optimal large-scale fading decoding (LSFD) in the second layer. In the DL, two different transmission modes are studied: coherent and non-coherent. Closed-form DL SE expressions for both transmission modes with MR precoding are derived for the three estimators. Numerical results show that the LSFD improves the UL SE performance and coherent transmission mode performs much better than non-coherent transmission in the DL. Besides, the performance loss due to the lack of phase information depends on the pilot length and it is small when the pilot contamination is low.

Citations (179)

Summary

  • The paper analyzes spectral efficiency in cell-free massive MIMO under Rician fading and phase shifts, evaluating phase-aware MMSE, LMMSE, and LS channel estimators.
  • Uplink performance is enhanced by a two-layer decoding scheme and LSFD, while coherent downlink transmission yields superior spectral efficiency.
  • Findings highlight that minimizing pilot contamination and using phase-aware strategies are crucial for mitigating performance degradation in practical deployments.

Evaluation of Cell-Free Massive MIMO under Rician Fading and Phase Shifts

The paper "Performance of Cell-Free Massive MIMO with Rician Fading and Phase Shifts" investigates the spectral efficiency (SE) of cell-free massive multiple-input-multiple-output (MIMO) systems over Rician fading channels. This paper addresses the complexities introduced by phase shifts caused by mobility and phase noise, which are often overlooked in similar studies focusing solely on amplitude variations.

Channel Estimation Techniques

The research evaluates the performance of cell-free massive MIMO systems using three prominent channel estimation techniques: phase-aware minimum mean square error (MMSE), non-aware linear MMSE (LMMSE), and least-square (LS) estimators. Each estimator has distinct information availability. While the MMSE estimator assumes perfect phase knowledge, the LMMSE and LS estimators do not, demonstrating different trade-offs in estimation accuracy and computational demands.

Uplink and Downlink Performance

In the uplink scenario, the authors explore a two-layer decoding scheme implemented to alleviate both coherent and non-coherent interference. The paper delivers closed-form expressions for SE with phase-aware MMSE, LMMSE, and LS estimators using maximum-ratio (MR) combining and optimal large-scale fading decoding (LSFD). This dual-layer approach enhances the interference management capabilities of the system.

For the downlink, the research investigates coherent and non-coherent modes of transmission, essential for understanding the trade-offs between synchronization and performance. The coherence in phase across APs (Access Points) results in stronger signal gains in the coherent mode compared to the non-coherent transmission, which remains robust to phase synchronization issues.

Numerical Results and Findings

The paper provides comprehensive numerical results highlighting that LSFD significantly improves uplink SE. Furthermore, the coherent transmission in the downlink was observed to have superior SE performance than non-coherent methods, establishing its potential advantages in practical deployments. An important insight is how the extent of performance degradation, due to the lack of phase information, varies with pilot contamination levels. Performance loss remains minor with longer pilot sequences, underscoring the importance of minimizing pilot contamination in practical scenarios.

Implications and Future Research

This work provides an essential contribution to the understanding of cell-free massive MIMO systems by addressing the impact of Rician fading with variable LoS phases. The paper's results suggest that meticulously engineered pilot allocation and phase-aware estimation strategies can alleviate challenges posed by fading and phase noise. These findings have noteworthy implications for network design, especially in high-mobility environments or contexts with phase instability, indicating future research paths that explore robust phase tracking mechanisms and adaptive pilot schemes to enhance the reliability and efficiency of cell-free massive MIMO systems.