Abstract

Turbo product codes (TPCs) are an attractive solution to improve link budgets and reduce systems costs by relaxing the requirements on expensive optical devices in high capacity optical transport systems. In this paper, we investigate the use of Reed-Solomon (RS) turbo product codes for 40Gbps transmission over optical transport networks and 10Gbps transmission over passive optical networks. An algorithmic study is first performed in order to design RS TPCs that are compatible with the performance requirements imposed by the two applications. Then, a novel ultrahigh-speed parallel architecture for turbo decoding of product codes is described. A comparison with binary Bose-Chaudhuri-Hocquenghem (BCH) TPCs is performed. The results show that high-rate RS TPCs offer a better complexity/performance tradeoff than BCH TPCs for low-cost Gbps fiber optic communications.

Highlights

  • The field of channel coding has undergone major advances for the last twenty years

  • With the invention of turbo codes [1] followed by the rediscovery of low-density parity-check (LDPC) codes [2], it is possible to approach the fundamental limit of channel capacity within a few tenths of a decibel over several channel models of practical interest [3]

  • The progressive introduction of inline optical amplifiers and the advent of wavelength division multiplexing (WDM) technology accelerated the use of forward-error correction (FEC) up to the point that it is considered almost routine in optical communications

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Summary

INTRODUCTION

The field of channel coding has undergone major advances for the last twenty years. With the invention of turbo codes [1] followed by the rediscovery of low-density parity-check (LDPC) codes [2], it is possible to approach the fundamental limit of channel capacity within a few tenths of a decibel over several channel models of practical interest [3]. BCH TPCs have received considerable attention for third generation FEC in optical systems since they show good performance at high code rates and have a high minimum distance by construction Their regular structure is amenable to very-high-data-rate parallel decoding architectures [10], [11]. Research on TPCs for lightwave systems culminated recently with the experimental demonstration of a record coding gain of 10.1 dB at a BER of 10−13 using a (144, 128) × (256, 239) BCH turbo product code with 24.6% overhead [12]. An experimental setup based on field-programmable gate array (FPGA) devices has been successfully designed for 10 Gb/s data transmission This prototype demonstrates the practicality of RS TPCs for next-generation optical communications.

Code construction and systematic encoding
Binary image of RS product codes
TURBO DECODING OF RS PRODUCT CODES
SISO decoding of the component codes
Iterative decoding of the product code
RS PRODUCT CODE DESIGN FOR OPTICAL
FEC design for data transmission over OTN and PON
Choice of the component codes
Performance analysis and code optimization
Comparison with BCH product codes
Soft-input quantization
FULL-PARALLEL TURBO DECODING ARCHITECTURE
Previous work
Full-parallel decoding principle
Full-parallel architecture for product codes
Turbo decoder complexity analysis
Turbo decoder throughput analysis
Turbo product code comparison: throughput versus complexity
IMPLEMENTATION OF AN RS TURBO DECODER FOR
Characteristic and performance of the implemented decoding module
Findings
VIII. CONCLUSION
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