Design On High Performance Soft-Decision Algorithm For Bursty Channel Decoding Of Reed-Solomon Codes

Reed-Solomon(RS)codes have been widely researched and applied in many fields due to their excellent decoding performance in correcting both random and burst errors,such as deep space communication,optical fiber communication,wireless transmission and so on.The RS codes decoding algorithm can be divided into two parts according to its different processing methods for the acceptance level:hard decision decoding algorithm(HDD)and soft decision decoding algorithm(SDD).The HDD algorithm directly uses the decision result of the transmitted signal for decoding,which is flexible,simple for architecture,and has certain advantages in an environment where channel noise is less affected and fast decoding.The soft decision makes full use of the channel soft information,has better error correction ability than the HDD,which has become the research focus of today's high-quality communication transmission.A high performance soft-decision decoding algorithm for burst errors is proposed in this paper.According to the characteristics of the bursty channel,the ordered-statistics decoding algorithm is improved,and the channel information is fully utilized,so that it can be applied in the bursty channel.The improved algorithm can decode multisegment burst errors,which breaks the limitation of the singlesegment decoding of the original algorithms and makes significantly improvement on the decoding performance.For RS(255,239),the proposed algorithm can give a coding gain reaching up to 0.95d B,0.82d B,and 0.75d B compared to Ri BC,HDD,and BCHDD-LCC algorithm,respectively when SER is 10^-4.In addition,this paper proposed a novel parity check matrix diagonalization scheme to replace the Gaussian elimination,which can save more than 70%of storage resources that is optimized for efficient hardware implementation.At last use MATLAB code to simulate the proposed algorithm in the bursty channel,from the experimental data,we decide the parameters used in the algorithm.The unified RS decoding for bursty channel and the proposed new parity check matrix diagonalization scheme have been modeled with Verilog HDL and simulated by Modelsim simulator tool,verifying the correctness of the code function.This RS decoder is synthesized,analyzed timing and power consumption by Design Compiler and Prime Time PX with SMIC 0.13?m technology library.The result shows that the unified algorithm has significant advantages in both decoding performance and hardware implementation,and it expands the application scope of RS codes.