Abstract

Nowadays, in the field of data transmission between receiver and transmitter, the Reed Solomon code is used very frequently. FEC codes have two foremost and influential operations: (1) calculating parity symbols at the encoder side and (2) transmitting message symbols with parity symbols and decoding the received codeword at the second side by using the decoding algorithms. Gigabit automotive ethernet is used in the automotive car to provide better bandwidth for every kind of applications to connect functional components of the vehicles. This error correction technique is used in the gigabit automotive ethernet to reduce the channel noise during data transmission. RS (450, 406) is a powerful error correction techniques used in automotive ethernet. This paper focused only on the analysis of Reed Solomon decoding. Reed Solomon decoding is more efficient decoding techniques for correcting both burst and random errors. The critical steps of the Reed Solomon decoding are to solve the error evaluator and error calculator polynomial, which is also known as KES solver.

Highlights

  • With the development of advanced vehicle technology, electronic systems are increasing in vehicle to refine their interpretation and new features

  • Reed Solomon (RS) encoding and decoding are powerful error correction techniques, that’s why they are used in the Gigabit Ethernet

  • We have shown that the latency depends on the frequency of each module

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Summary

INTRODUCTION

With the development of advanced vehicle technology, electronic systems are increasing in vehicle to refine their interpretation and new features. Except Reed Solomon (RS) Code, other error correction codes are not used in Physical layer (or PCS) due to their limitations such as: less error correction capability, less data rate and poor bandwidth. These all EC codes are independent of Galois Field (GF) and primitive polynomial except RS code. We have designed RS(450, 406) decoder for 1000BASE-T1 PHY, which is one of the Gigabit Ethernet family with full duplex network capable to operate at 1000Mb/s In this RS code, length of message symbol (k) is equal to 406, and each message is of 9 − bit symbol and length of the codeword

RELATED WORK
Chan-ho Yoon
REED SOLOMON DECODING
SYNDROME CALCULATION
The iBM Algorithm
The Architecture of iBM Algorithm
ELU Architecture
ERROR POSITION CALCULATION
ERROR VALUES CALCULATION
Forney Algorithm
ERROR CORRECTOR
ANALYSIS OF SIMULATION RESULTS
10. CONCLUSION AND CHALLENGES
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