| 基于复数基的RS译码器的FPGA优化实现 |
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| 引用本文： | 汪晓岩,胡庆生,孙荣久.基于复数基的RS译码器的FPGA优化实现[J].通信学报,2003,24(4):85-93. |
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| 作者姓名： | 汪晓岩 胡庆生 孙荣久 |
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| 作者单位： | 1. 国家电力公司,电力自动化研究院,江苏,南京,210003
2. 东南大学,无线电系,江苏,南京,210096 |
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| 基金项目： | 国家电力公司中压配电网复合通信方式研究基金资助项目(S P K J 011-11) |
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| 摘 要： | 研究了复数基表示GF(2^8)域元素时RS编译码问题，首先讨论了GF(2^8)域标准基与复数基之间的相互转换，然后提出了适合FPGA实现的基于复数基的并行乘法器和基于查询表法的求逆和除法算法。最后详细地讨论了基于复数基的RS译码器的FPGA实现原理和框图。
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| 关 键 词： | 复数基 RS译码器 FPGA Galois域乘法 Galois域除法 |
| 文章编号： | 1000-436X(2003)04-0085-09 |
| 修稿时间： | 2001年9月3日 |
Optimized FPGA implementation of RS decoder based on composite basis |
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| WANG Xiao-Yan,HU Qing-Sheng,SUN Rong-Jiu.Optimized FPGA implementation of RS decoder based on composite basis[J].Journal on Communications,2003,24(4):85-93. |
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| Authors: | WANG Xiao-Yan HU Qing-Sheng SUN Rong-Jiu |
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| Affiliation: | WANG Xiao-Yan1,HU Qing-Sheng2,SUN Rong-Jiu1 |
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| Abstract: | A design of Reed-Solomon decoder based on the composite basis representation of GF(28) field elements are considered. First, mapping between canonical basis and composite basis in GF(28) field is described, and then FPGA architecture of parallel multiplier, inverter and divisions based on ROM table in composite basis are presented. Optimum FPGA pipeline architecture of RS decoder in composite basis has been implemented. |
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| Keywords: | composite basis multiplier of Galois field divisions of Galois field RS decoder FPGA1 |
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