Abstract

We consider an uplink multiuser multiple-input multiple-output (MU-MIMO) system with one-bit analog-to-digital converters (ADCs). In this system, the construction of a low-complexity detector is quite challenging due to the non-linearity of an end-to-end channel transfer function. Recently, a supervised-learning (SL) detector was proposed by modeling the complex non-linear function as a tractable Bernoulli-mixture model. It achieves an optimal maximum-likelihood (ML) performance, provided the channel state information (CSI) is perfectly known at a receiver. However, when a system-size is large, SL detector is not practical because of requiring a large amount of labeled data (i.e., pilot signals) to estimate the model parameters. We address this problem by proposing a semi-supervised learning (SSL) detector in which both pilot signals (i.e., labeled data) and some part of data signals (i.e., unlabeled data) are used to estimate them via expectation-maximization (EM) algorithm. We further extend the proposed detector for time-varying channels, by leveraging the idea of online learning, which is called online-learning (OL) detector. Simulation results demonstrate that the proposed SSL detector can achieve the almost same performance of the corresponding SL detector with significantly lower pilot overhead. In addition, it is shown that the proposed OL detector is more robust to channel variations compared with the existing detectors.

Highlights

  • One of promising technologies beyond the 5G cellular system is a massive multi-input multi-output (MIMO) in which many antennas at the base station (BS) improve the capacity and energy-efficiency [2]

  • In order to get over these challenges, the usage of low-resolution analog-to-digital converters (ADCs) (e.g., 1∼3 bits) in massive MIMO systems has been extensively studied for decades. one-bit ADCs seem appealing because they do not require automatic gain

  • SIMULATION RESULTS The average bit-error rate (BER) performances are evaluated in the conventional SL detector, the proposed supervised learning (SSL) detector and OL detector

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Summary

INTRODUCTION

One of promising technologies beyond the 5G cellular system is a massive multi-input multi-output (MIMO) in which many antennas at the base station (BS) improve the capacity and energy-efficiency [2]. We assume that the BS does not know a channel state information (CSI) as in pragmatic communication models It needs to be estimated through pilot signals throughout the training phase (see Fig. 1). The key idea of the proposed SSL detector lies in estimation of the parameters of the underlying BM model leveraging an efficient expectationmaximization (EM) algorithm. In this step, both pilot data signals (i.e., labeled data) and some pieces of data signals (i.e., unlabeled) data are contributed. Re(x) and Im(x) represent the real and complex part of a complex vector x, respectively

PRELIMINARIES
OVERVIEW OF SL DETECTOR
PARAMETER ESTIMATION PHASE
DATA DETECTION
GENENRALIZATION
SIMULATION RESULTS
CONCLUSION
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