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Deep MIMO Detection (1706.01151v1)

Published 4 Jun 2017 in stat.ML, cs.IT, cs.LG, and math.IT

Abstract: In this paper, we consider the use of deep neural networks in the context of Multiple-Input-Multiple-Output (MIMO) detection. We give a brief introduction to deep learning and propose a modern neural network architecture suitable for this detection task. First, we consider the case in which the MIMO channel is constant, and we learn a detector for a specific system. Next, we consider the harder case in which the parameters are known yet changing and a single detector must be learned for all multiple varying channels. We demonstrate the performance of our deep MIMO detector using numerical simulations in comparison to competing methods including approximate message passing and semidefinite relaxation. The results show that deep networks can achieve state of the art accuracy with significantly lower complexity while providing robustness against ill conditioned channels and mis-specified noise variance.

Citations (393)

Summary

  • The paper presents DetNet, a deep learning architecture that unrolls gradient descent to enhance MIMO detection with reduced complexity.
  • It achieves over 30x faster detection than SDR in fixed channel settings while maintaining state-of-the-art performance in challenging conditions.
  • DetNet generalizes robustly by training over diverse channel distributions, removing the need for precise noise variance estimation.

Deep MIMO Detection: An Overview

The paper "Deep MIMO Detection" by Neev Samuel, Tzvi Diskin, and Ami Wiesel offers a significant contribution in the application of deep neural networks to the classical problem of MIMO detection. The authors propose an innovative architecture, termed DetNet, which leverages a deep learning approach to enhance the efficiency and accuracy of MIMO systems.

Background and Motivation

MIMO systems are a cornerstone in modern wireless communication, facilitating substantial performance improvements by leveraging multiple input and output channels. However, the inherent complexity of detecting signals in MIMO systems, especially in high-dimensional settings, poses significant computational challenges. Traditional approaches like maximum likelihood (ML) detection, despite their optimal error performance, are computationally prohibitive due to their exponential complexity. Consequently, suboptimal methods, including linear detectors and algorithms like Approximate Message Passing (AMP) and Semidefinite Relaxation (SDR), have been extensively studied. Nonetheless, these methods either compromise performance or are limited by operational complexities in adverse scenarios.

Main Contributions

The authors propose DetNet, a deep neural network architecture inspired by unfolding a projected gradient descent method tailored specifically for MIMO detection. DetNet comprises multiple layers mimicking the iteration steps of gradient descent, enriched with modern deep learning non-linear operations and parametrizations. This design enables DetNet to maintain low complexity while achieving state-of-the-art detection accuracy comparable to traditional methods like SDR, but significantly faster.

DetNet demonstrates strong performance under various channel conditions, excelling particularly in handling channels that are ill-conditioned, where traditional iterative methods like AMP may fail or require substantial parameter tuning. It also robustly handles scenarios where noise variance is unknown, thus providing a practical edge in real-life settings where accurate SNR estimation can be challenging.

Results and Analysis

The authors present extensive numerical results illustrating the superiority of DetNet in two main scenarios: Fixed Channel (FC) and Varying Channel (VC). In the FC scenario, DetNet performs on par with SDR while being over 30 times faster, effectively managing ill-conditioned channels where AMP fails. In the VC case, DetNet matches the optimal performance benchmarks set by SDR and AMP but without requiring knowledge of the noise variance, underpinning its robustness and generalization capability.

The paper highlights the capacity of DetNet to train over a distribution of channels rather than a set finite in number or characteristics, allowing it to generalize well to unseen channel conditions. This property is particularly advantageous for practical implementations in dynamic communication environments.

Implications and Future Directions

The introduction of DetNet marks a pivotal step in the evolution of signal detection methodologies by integrating deep learning paradigms with communication system design. Its ability to effectively handle multiple and varying channel conditions with reduced complexity opens up new pathways for deploying MIMO systems in resource-constrained environments. Moreover, the promising results in terms of speed and accuracy suggest potential expansions into other communication domains.

Future research might explore the integration of DetNet with adaptive systems capable of real-time channel estimation and feedback, further enhancing its applicability in fast-changing wireless environments. Another intriguing direction is the exploration of DetNet under broader MIMO configurations, including higher-dimensional setups and integration with emerging technologies like massive MIMO and millimeter-wave communications.

In conclusion, the paper presents a compelling case for deep neural networks in signal detection, demonstrating how innovative deep learning architectures can surmount traditional challenges associated with MIMO systems, consequently expanding their efficient and scalable deployment in modern communication networks.