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Channel Estimation for Extremely Large-Scale MIMO: Far-Field or Near-Field? (2108.07581v3)

Published 17 Aug 2021 in cs.IT and math.IT

Abstract: Extremely large-scale multiple-input-multiple-output (XL-MIMO) with hybrid precoding is a promising technique to meet the high data rate requirements for future 6G communications. To realize efficient hybrid precoding, it is essential to obtain accurate channel state information. Existing channel estimation algorithms with low pilot overhead heavily rely on the channel sparsity in the angle domain, which is achieved by the classical far-field planar wavefront assumption. However, due to the non-negligible near-field spherical wavefront property in XL-MIMO systems, this channel sparsity in the angle domain is not available anymore, and thus existing far-field channel estimation schemes will suffer from severe performance loss. To address this problem, in this paper we study the near-field channel estimation by exploiting the polar-domain sparse representation of the near-field XL-MIMO channel. Specifically, unlike the classical angle-domain representation that only considers the angle information of the channel, we propose a new polar-domain representation, which simultaneously accounts for both the angle and distance information. In this way, the near-field channel also exhibits sparsity in the polar domain. By exploiting the channel sparsity in the polar domain, we propose the on-grid and off-grid near-field channel estimation schemes for XL-MIMO. Firstly, an on-grid polar-domain simultaneous orthogonal matching pursuit (P-SOMP) algorithm is proposed to efficiently estimate the near-field channel. Furthermore, to solve the resolution limitation of the on-grid P-SOMP algorithm, an off-grid polar-domain simultaneous iterative gridless weighted (P-SIGW) algorithm is proposed to improve the estimation accuracy, where the parameters of the near-field channel are directly estimated. Finally, numerical results are provided to verify the effectiveness of the proposed schemes.

Citations (385)

Summary

  • The paper proposes a novel polar-domain representation and algorithms (P-SOMP and P-SIGW) to overcome conventional far-field assumptions in XL-MIMO channel estimation.
  • It leverages Fresnel approximations and optimized angular-distance sampling to maintain sparsity and reduce pilot overhead under near-field conditions.
  • Numerical simulations demonstrate significant performance gains over traditional methods, offering practical benefits for 6G and high-frequency networks.

An Overview of Channel Estimation for Extremely Large-Scale MIMO: Far-Field or Near-Field?

The paper "Channel Estimation for Extremely Large-Scale MIMO: Far-Field or Near-Field?" by Mingyao Cui and Linglong Dai explores the significant challenges and opportunities presented by Extremely Large-Scale Multiple-Input-Multiple-Output (XL-MIMO) systems, particularly concerning channel estimation in 6G communications. The authors focus on the transition from the classical far-field assumption to a more nuanced understanding that includes near-field properties due to the onset of XL-MIMO, characterized by a substantial increase in the number of antennas.

Key Contributions and Methodology

XL-MIMO systems are poised to substantially enhance spectral efficiency, but they introduce complexities in channel estimation that do not align with existing far-field assumptions traditionally used in Massive MIMO for 5G. In typical scenarios, existing channel estimation algorithms leverage the angular-domain sparsity derived from far-field assumptions. However, the near-field phenomena in XL-MIMO, characterized by spherical wavefronts rather than planar ones, challenge these assumptions due to non-negligible energy spread and lack of sparsity in the angular domain.

To address these challenges, the authors propose a novel polar-domain representation that incorporates both angular and distance information, allowing for the maintenance of sparsity under near-field conditions. Within this framework, the authors develop the Polar-domain Simultaneous Orthogonal Matching Pursuit (P-SOMP) algorithm and an off-grid Polar-domain Simultaneous Iterative Gridless Weighted (P-SIGW) algorithm to estimate near-field channels efficiently.

The P-SOMP algorithm is crafted to efficiently estimate channel states by leveraging polar-domain representation. This algorithm exploits polar-domain sparsity, optimizing the support set across subcarriers while maintaining computational efficiency. To further enhance channel estimation accuracy beyond on-grid limitations, the P-SIGW algorithm is introduced. It enhances the on-grid method by direct estimation of channel parameters such as path gains, angles, and distances utilizing a maximum likelihood approach, providing refined off-grid estimations.

The authors meticulously derive the polar-domain transform matrix by employing Fresnel approximations and prescribe specific angular and distance sampling methods to minimize column coherence in the matrix, which is critical for maintaining low pilot overhead while ensuring efficiency in channel estimation.

Numerical Results and Implications

The paper substantiates the efficacy of the proposed methods through extensive simulations. The results indicate significant performance improvements over traditional angular-domain methods, specifically in scenarios representing near-field conditions—where conventional methods suffer performance degradation due to the non-sparse energy distribution across multiple angles. Notably, the proposed algorithms perform well in both near-field and far-field scenarios, validating their robustness and wide applicability in XL-MIMO settings.

The implications of this research are profound, particularly for high-frequency communication such as mmWave and THz bands prevalent in 6G systems. The inclusion of near-field effects into the channel estimation framework not only offers a more accurate model for real-world conditions but also contributes to reducing pilot overhead while maximizing spectral efficiency. This has substantial implications for the design and deployment of 6G networks, which require innovative solutions to handle the complexities arising from the scaling of antennas in modern base stations.

Future Directions

The paper offers a pathway to explore enhanced methodologies in the field of RIS-aided communications and large intelligent surface networks, where similar near-field and polar-domain considerations may prove beneficial. Continuous exploration into optimizing the polar-domain representation and its computational efficiency will be crucial as network scales and complexity increase.

In conclusion, this paper effectively addresses a pivotal issue in the evolution of MIMO technology and sets a foundation for further exploration in XL-MIMO channel estimation, providing a balanced approach suitable for both academic and practical implementation in future wireless communication systems.