Abstract

In this paper we study the secrecy performance of a downlink massive multiple-input multiple-output (MIMO) system in the presence of pilot spoofing attack (PSA). Specifically, the base station (BS), which is equipped with low-resolution analog-to-digital converters (ADCs) and digital-to-analog converters (DACs), exploits the low-complexity random artificial noise (AN) to improve secrecy. With the aid of the additive quantization noise model, the ergodic secrecy rate is derived. Based on the derived results, we study the impact of ADCs' and DACs' resolutions on the secrecy performance for the two different scenarios: the scenarios with and without the knowledge of the PSA power. The optimal power allocation parameter, which allocates power between the information-bearing signal and AN, is derived for the scenario with the knowledge of the PSA power. For ADCs, our theoretical results indicate that high-resolution ADCs are always favorable for improving secrecy, regardless of the availability of the PSA power. However, the impact of DACs' resolution is related to the knowledge of the PSA power. For the scenario without the PSA power, enhancing the resolution of DACs does not necessarily improve the secrecy performance due to the inappropriate power allocation. For the scenario with the PSA power, DACs with different resolutions can achieve the same ergodic secrecy rate in most cases, since the optimal power allocation can make a balance between mitigating the rate loss due to coarse quantization and injecting AN for anti-eavesdropping. Only in the case where the PSA power is small, high-resolution DACs achieve a higher ergodic secrecy rate. Finally, we propose a PSA detection method and study the effect of low-resolution ADCs on the detection performance. It is found that the resolution of ADCs has little effect on the performance of PSA detection.

Highlights

  • Due to the increasingly ubiquitous information exchange among mobile users, the secrecy assurance of private messages is becoming more and more important and has aroused great research interests

  • Inspired by the above considerations, in this paper, we study the secrecy performance1 of a downlink massive multiple-input multipleoutput (MIMO) system where the base station (BS) is equipped with low-resolution analog-to-digital converters (ADCs)/digital-to-analog converters (DACs)

  • Different from [28]–[30], we study the impact of the coarse quantization of both ADCs and DACs

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Summary

INTRODUCTION

Due to the increasingly ubiquitous information exchange among mobile users, the secrecy assurance of private messages is becoming more and more important and has aroused great research interests. Inspired by the above considerations, in this paper, we study the secrecy performance of a downlink massive MIMO system where the BS is equipped with low-resolution ADCs/DACs. Different from [28]–[30], we study the impact of the coarse quantization of both ADCs and DACs. More importantly, the eavesdroppers in our work are assumed to be able to launch PSA to facilitate eavesdropping, which has not been addressed in [28]–[30]. 1) We consider a time-division-duplex (TDD) massive MIMO system where the BS is equipped with lowresolution ADCs and low-resolution DACs. The BS performs channel estimation in the presence of PSA, based on which the matched filter (MF) precoding and random AN are exploited for downlink transmission. We can see that the value of α is smaller than 1, which characterizes the attenuation of the signal due to quantization

CHANNEL ESTIMATION
DOWNLINK TRANSMISSION
ERGODIC RATE AT INTENDED USER
MAXIMUM TOLERABLE PSA POWER
OPTIMIZATION OF θ
THE SCENARIO WITHOUT Pe
THE SCENARIO WITH Pe
PSA DETECTION
NUMERICAL RESULTS
CONCLUSION

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