介绍用于光纤通信的速率为2.5 G b/s的高速RS(255,239)译码器设计。对输入信号中可能出现的超出译码器纠错能力的误码可进行检测判断,保证了误码不扩散。对译码器中大量使用的有限域乘法器进行了优化设计,尤其对并行钱氏搜索电路中的乘...介绍用于光纤通信的速率为2.5 G b/s的高速RS(255,239)译码器设计。对输入信号中可能出现的超出译码器纠错能力的误码可进行检测判断,保证了误码不扩散。对译码器中大量使用的有限域乘法器进行了优化设计,尤其对并行钱氏搜索电路中的乘法器采用了按组优化设计方法,与直接实现方法相比,复杂度降低了45%。该RS译码器已用FPGA进行了功能验证,并用TSM C 0.18μm CM O S工艺实现,Synopsys综合后的仿真结果表明译码器电路时钟工作频率达到了330 MH z。展开更多
Abraham Lempel et al made a connection between linear codes and systems of bilinear forms over finite fields. In this correspondence, a new simple proof of a theorem in [1] is presented; in addition, the encoding proc...Abraham Lempel et al made a connection between linear codes and systems of bilinear forms over finite fields. In this correspondence, a new simple proof of a theorem in [1] is presented; in addition, the encoding process and the decoding procedure of RS codes are simplified via circulant matrices. Finally, the results show that the correspondence between bilinear forms and linear codes is not unique.展开更多
文摘介绍用于光纤通信的速率为2.5 G b/s的高速RS(255,239)译码器设计。对输入信号中可能出现的超出译码器纠错能力的误码可进行检测判断,保证了误码不扩散。对译码器中大量使用的有限域乘法器进行了优化设计,尤其对并行钱氏搜索电路中的乘法器采用了按组优化设计方法,与直接实现方法相比,复杂度降低了45%。该RS译码器已用FPGA进行了功能验证,并用TSM C 0.18μm CM O S工艺实现,Synopsys综合后的仿真结果表明译码器电路时钟工作频率达到了330 MH z。
基金She was with the Department of Mathematics in Wuhan University while writting this paper.
文摘Abraham Lempel et al made a connection between linear codes and systems of bilinear forms over finite fields. In this correspondence, a new simple proof of a theorem in [1] is presented; in addition, the encoding process and the decoding procedure of RS codes are simplified via circulant matrices. Finally, the results show that the correspondence between bilinear forms and linear codes is not unique.
