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Joint Spatial Division and Multiplexing for mm-Wave Channels (1312.2045v3)

Published 7 Dec 2013 in cs.IT and math.IT

Abstract: Massive MIMO systems are well-suited for mm-Wave communications, as large arrays can be built with reasonable form factors, and the high array gains enable reasonable coverage even for outdoor communications. One of the main obstacles for using such systems in frequency-division duplex mode, namely the high overhead for the feedback of channel state information (CSI) to the transmitter, can be mitigated by the recently proposed JSDM (Joint Spatial Division and Multiplexing) algorithm. In this paper we analyze the performance of this algorithm in some realistic propagation channels that take into account the partial overlap of the angular spectra from different users, as well as the sparsity of mm-Wave channels. We formulate the problem of user grouping for two different objectives, namely maximizing spatial multiplexing, and maximizing total received power, in a graph-theoretic framework. As the resulting problems are numerically difficult, we proposed (sub optimum) greedy algorithms as efficient solution methods. Numerical examples show that the different algorithms may be superior in different settings.We furthermore develop a new, "degenerate" version of JSDM that only requires average CSI at the transmitter, and thus greatly reduces the computational burden. Evaluations in propagation channels obtained from ray tracing results, as well as in measured outdoor channels show that this low-complexity version performs surprisingly well in mm-Wave channels.

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Summary

  • The paper presents a novel technique that groups users and implements a two-stage beamforming process relying on channel covariance to reduce CSIT demands.
  • It employs graph-theoretic frameworks and ray tracing evaluations to optimize spatial multiplexing and maximize received power in realistic propagation environments.
  • The research offers actionable insights for enhancing energy efficiency and interference management in future 5G networks and beyond.

Joint Spatial Division and Multiplexing for mm-Wave Channels

The paper examines the Joint Spatial Division and Multiplexing (JSDM) technique within the context of millimeter-wave (mm-Wave) communication channels in massive MIMO systems, providing insights into its performance and implementation challenges. The authors present a comprehensive analysis, setting a foundation for utilizing JSDM to enhance spectral efficiency, energy consumption, and interference management, crucial factors for the realization of future 5G networks.

Summary of JSDM and its Application

The core idea of JSDM involves dividing the multiple users into groups based on the second-order statistics of their channels, and then implementing a two-step beamforming process. The first step, or pre-beamforming, relies solely on the covariance of the user channels, allowing JSDM to operate effectively under systems that do not exploit channel reciprocity such as FDD systems. This is particularly relevant for massive MIMO, a technology that leverages large antenna arrays to provide high array gains, necessary for achieving wide coverage in environments with high-frequency mm-Wave signals.

The emphasis on realistic propagation environments with co-existing dense user distributions is evident in the paper’s approach to evaluating performance. Two objectives are considered: maximizing spatial multiplexing and maximizing total received power. These are tackled using graph-theoretic frameworks, enabling a strategic analysis of user grouping, a significant task given the computational challenges inherent in real-world conditions.

Key Results and Assertions

One of the key findings is the competitive performance of the “degenerate” version of JSDM which potentially reduces the reliance on instantaneous Channel State Information at the Transmitter (CSIT). This variant, which bases pre-beamforming only on channel covariance, has demonstrated surprisingly robust performance in propagation environments where channel conditions are sparse, a common characteristic at mm-Wave frequencies due to their high penetration loss and directivity.

The paper identifies scenarios where conventional JSDM may suffer from high feedback overheads and suggests that covariance-based scheduling could mitigate such burdens without substantial sacrifices in performance. Numerical results and ray tracing evaluations supplement these theoretical examinations, highlighting the ability of this approach to manage CSIT feedback effectively while optimizing spatial resource allocation across diverse user groups.

Implications for Theory and Practice

The implications of this research are notable for both theoretical advancements and practical implementations. Theoretically, the paper raises pertinent questions about the fundamental performance limits of massive MIMO systems with reduced CSIT. Practically, as mentioned, effective user scheduling and grouping under JSDM can lead to enhancements in energy efficiency and capacity—essential requirements as networks evolve toward 5G and beyond.

Moreover, the paper’s experimental setup, utilizing ray tracing and measurement campaigns, provides a comprehensive methodology that aligns with the challenges and complexities anticipated in urban deployment of mm-Wave technologies. The results indicate that, under specific conditions, reductions in CSIT demands do not proportionally impact throughput, particularly in environments composed of selective and directional multipath components.

Future Directions and Developments

Looking forward, the exploration into optimizing user grouping and beamforming techniques under JSDM suggests several potential directions. These include further analytical model development to capture the nuances of mixed LOS and NLOS environments pervasive in urban settings. Also, adapting JSDM schemes to dynamically adjust pre-beamforming matrices in response to real-time channel variations could create even greater flexibility and efficiency.

Additionally, future work could investigate the integration of JSDM with other emerging technologies such as machine learning for predictive analytics, enhancing real-time user scheduling and resource allocation. The intersection of massive MIMO, mm-Wave, and advanced data-driven techniques promises fertile ground for innovation, addressing critical challenges at the forefront of wireless communication systems design.

In conclusion, the research presents a promising approach to reconciling the typical trade-offs encountered in high-frequency MIMO deployments, setting a precedent for future studies to expand upon these foundational insights, advancing both academic inquiry and industrial practice in the landscape of modern wireless networks.

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