Research And Application Of Reed-Solomon Codes

Firstly, this paper discusses several algebraic algorithms for encoding and decoding Reed-Solomon codes from the view of engineering. Then their applications in ATM and DVB systems are investigated particularly. Finally, FPGA implementation of Reed-Solomon codes is discussed. The main results in this paper are as follows:1. The development and applications of Channel Coding are discussed in this paper, then, a method how to reduce complexity of encoder is dissertated.2. The principles of RS coding are fully studied. Several classical algebraic algorithms for decoding Reed-Solomon codes are investigated, and the implementation complexity of these algorithms is compared.3. The channel characters of wireless ATM switcher have been discussed in detail, the RS coding scheme to protect ATM cells is put forward and the feasibility of this scheme is proved. The encoder and decoder used in ATM switcher are designed using specific error correcting 1C.4. The error correcting scheme adopted by MPEG-2 in DVB system has been fully studied, the feasible error correcting scheme applied in the up-link of DVB system is put forward, and the decoder module used in MPEG-2 system is designed.5. According to the Euclidean algorithm RS encoder and decoder are implemented in FPGA.