Abstract

A comprehensive study of the coded performance of long-haul spectrally-efficient WDM optical fiber transmission systems with different coded modulation decoding structures is presented. Achievable information rates are derived for three different square QAM formats and the optimal format is identified as a function of distance and specific decoder implementation. The four cases analyzed combine hard-decision (HD) or soft-decision (SD) decoding together with either a bit-wise or a symbol-wise demapper, the last two suitable for binary and nonbinary codes, respectively. The information rates achievable for each scheme are calculated based on the mismatched decoder principle. These quantities represent true indicators of the coded performance of the system for specific decoder implementations and when the modulation format and its input distribution are fixed. In combination with the structure of the decoder, two different receiver-side equalization strategies are also analyzed: electronic dispersion compensation and digital backpropagation. We show that, somewhat unexpectedly, schemes based on nonbinary HD codes can achieve information rates comparable to SD decoders and that, when SD is used, switching from a symbol-wise to a bit-wise decoder results in a negligible penalty. Conversely, from an information-theoretic standpoint, HD binary decoders are shown to be unsuitable for spectrally-efficient, long-haul systems.

Highlights

  • T HE demand for ever higher transmission rates in optical fiber transmission systems has led researchers to study the performance of transceivers based on sophisticated forward error correction (FEC) techniques

  • Achievable information rates are derived for three different square quadrature-amplitude modulation (QAM) formats and the optimal format is identified as a function of distance and specific decoder implementation

  • Numerical results based on split-step Fourier (SSF) simulations of optical fiber transmission are presented

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Summary

INTRODUCTION

T HE demand for ever higher transmission rates in optical fiber transmission systems has led researchers to study the performance of transceivers based on sophisticated forward error correction (FEC) techniques. Several recent works have showed that both the MI and the generalized mutual information (GMI) [4], [5] are more reliable indicators than the pre-FEC BER of the performance of coded optical fiber systems, regardless of the specific channel used for transmission [6]–[12]. Each degree of freedom presents two options: hard-decision (HD) vs soft-decision (SD) decoding and bit-wise (BW) vs symbol-wise (SW) demapping, effectively producing four different design options These structures are representative of pragmatic decoders for FEC schemes employed in optical communication systems and comprehensively studied in the previous literature. The results in this paper show the design trade-offs in coded optical fiber systems where, for a given distance requirement, a compromise between transmission rates and transceiver complexity (modulation format, equalization, and decoding) must be found.

SYSTEM MODEL
Information-Theoretic Preliminaries
AIRs for SD CM Decoders
AIRs for HD CM Decoders
Relationships Between AIRs
Numerical Setup
Optical Fiber AIRs
CONCLUSION
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