Abstract

An average bit error ratio (ABER) performance model for multiple phase shift keying (MPSK) based on a balanced detector with a fiber is presented in the free-space link for the first time. The Johnson $S_{B} $ probability distribution function (pdf), to the best of our knowledge, is first experimentally explored, which can be used to describe the fading characteristics of an optical signal coupled into a single-mode fiber (SMF) in an atmospheric turbulence channel. Subsequently, an ABER expression is established by combining the photon characteristics of the balanced detector with the fiber. The numerical results show that the system has the most superior ABER performance when the splitting ratio is 0.5 and the quantum efficiency of the two photodetectors is equal. Moreover, the communication performances can be optimized by adjusting parameters, such as increasing the system bandwidth, selecting the appropriate modulation order, and improving the received optical power. Finally, the MPSK-signal-to-noise-ratio (SNR) model is also studied to evaluate system communication performance. Through our asymptotic analysis, if the required ABER falls below the 7% forward error correction (FEC) limit of $3.8 \times 10^{-3} $ , the SNR should maintain at least $38~dB $ or more, while the normalized fluctuation variance deteriorates to 5.2441. This paper provides a parameter reference for designing the MPSK free-space optical (FSO) communication system, especially the fiber-coupling receiver.

Highlights

  • With the growing development of successfully achieving high-speed data transmission between the satellite and earth in many countries, free-space optical (FSO) communication has already shown the superiority of high bandwidth and no electromagnetic interference (EMI), and it has pointed out the future development trend of high-speed communication [1], [2]

  • In this paper, by utilizing the fiber-coupling system to receive the free-space optical signal, the average bit error ratio (ABER) performance expression for multiple phase shift keying (MPSK) communication based on the balanced detector with fiber was illustrated for the first time

  • Through numerical simulation, the system is affected by the received optical field, the coupling efficiency of the single-mode fiber (SMF), and the optical power normalized fluctuation variance which is caused by atmospheric turbulence

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Summary

INTRODUCTION

With the growing development of successfully achieving high-speed data transmission between the satellite and earth in many countries, free-space optical (FSO) communication has already shown the superiority of high bandwidth and no electromagnetic interference (EMI), and it has pointed out the future development trend of high-speed communication [1], [2]. Most of the current theoretical works about MPSK FSO communication are based on lognormal, Gamma-Gamma, K distributed and other channel models, without further analysis of the instantaneous fading process of coupling the free-space optical signal into SMF after propagating through atmospheric turbulence [14], [15], such as the literature [16] derived the closed-form mathematical expressions for average bit error rate (ABER) estimation of radio on free-space optical (ROFSO) communication system by using Malaga distribution. It is of great significance to establish a model of the MPSK FSO communication system in fiber-coupling and coherent detection for ABER statistics, and SNR performance analysis. In practical engineering, this model can as well as provide a reference for the design of the optical system and the selection of the device.

CHANNEL MODELS
NUMERICAL ANALYSIS
Findings
CONCLUSION
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