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Multi-user Precoding and Channel Estimation for Hybrid Millimeter Wave Systems (1703.04060v1)

Published 12 Mar 2017 in cs.IT and math.IT

Abstract: In this paper, we develop a low-complexity channel estimation for hybrid millimeter wave (mmWave) systems, where the number of radio frequency (RF) chains is much less than the number of antennas equipped at each transceiver. The proposed mmWave channel estimation algorithm first exploits multiple frequency tones to estimate the strongest angle-of-arrivals (AoAs) at both base station (BS) and user sides for the design of analog beamforming matrices. Then all the users transmit orthogonal pilot symbols to the BS along the directions of the estimated strongest AoAs in order to estimate the channel. The estimated channel will be adopted to design the digital zero-forcing (ZF) precoder at the BS for the multi-user downlink transmission. The proposed channel estimation algorithm is applicable to both nonsparse and sparse mmWave channel environments. Furthermore, we derive a tight achievable rate upper bound of the digital ZF precoding with the proposed channel estimation algorithm scheme. Our analytical and simulation results show that the proposed scheme obtains a considerable achievable rate of fully digital systems, where the number of RF chains equipped at each transceiver is equal to the number of antennas. Besides, by taking into account the effect of various types of errors, i.e., random phase errors, transceiver analog beamforming errors, and equivalent channel estimation errors, we derive a closed-form approximation for the achievable rate of the considered scheme. We illustrate the robustness of the proposed channel estimation and multi-user downlink precoding scheme against the system imperfection.

Citations (201)

Summary

  • The paper presents a novel low-complexity channel estimation and multi-user precoding method tailored for hybrid mmWave systems.
  • It leverages strongest angles of arrival for efficient analog beamforming and digital zero-forcing, achieving near-digital performance in large antenna arrays.
  • The study shows that performance gaps from hardware impairments can be offset by increasing antenna count or transmit power, providing a scalable solution for future 5G networks.

Multi-user Precoding and Channel Estimation for Hybrid Millimeter Wave Systems

The paper focuses on the development and analysis of a low-complexity channel estimation algorithm and multi-user precoding for hybrid millimeter wave (mmWave) systems. Given the constraints of hybrid architectures—where the number of radio frequency (RF) chains is significantly fewer than the number of antennas—the authors propose a novel methodology tailored to cater to both sparse and non-sparse mmWave channel environments.

The paper first delineates the problem inherent in hybrid systems where traditional fully digital MIMO algorithms fail due to the mismatch in the number of RF chains and antennas. The proposed solution leverages the estimation of the strongest angles of arrival (AoAs), facilitating efficient analog beamforming matrix design at the base station (BS) and user side. This is complemented by a digital zero-forcing (ZF) precoder that utilizes the estimated channels for effective multi-user downlink transmission.

A standout feature of the proposed scheme is its adaptability to different channel conditions. This flexibility distinguishes it from conventional methods which predominantly rely on channel sparsity assumptions—a characteristic that may not always be reliable in urban communication landscapes with numerous scattering clusters.

The key numerical outcomes presented in the paper demonstrate that the proposed channel estimation achieves a substantial increase in the achievable rate for hybrid systems compared to fully digital systems. Specifically, as the Rician K-factor increases, indicating a stronger line-of-sight component, the performance gap between hybrid and fully digital systems narrows considerably. In scenarios with a large number of antennas, the performance loss due to the hybrid configuration is almost negligible, affirming its potential for practical implementations.

The authors also address potential system imperfections, analyzing hardware impairments such as phase errors and beamforming inaccuracies. They provide a closed-form approximation for the system's achievable rate under these imperfections. Their findings reveal that while hardware impairments introduce a performance gap compared to ideal conditions, these can be mitigated by increasing the number of antennas or the transmit power—a trade-off that is practically feasible in massive MIMO systems.

In terms of practical implications, the proposed channel estimation scheme offers a viable path to implementing high-performance communication in hybrid mmWave systems—a critical component of future 5G networks. The proposed solution not only maximizes spectral efficiency in dense urban areas but also complements existing infrastructure by offering a balance between complexity, cost, and performance.

The theoretical contributions set the stage for further exploration of channel estimation and precoding techniques in mmWave bands, even as the technology pushes towards higher frequencies and more complex system architectures. Future developments in AI and machine learning could further optimize these processes, potentially leading to adaptive systems that dynamically adjust to varying channel conditions in real-time.

In conclusion, the insights provided in this paper are substantial for both theoretical development and practical applications of mmWave systems, signaling a pivotal step toward realizing effective and efficient 5G communication technologies.