不规则LDPC码的密度进化方法及其门限值确定
Density Evolution Method and Threshold Decision for Irregular LDPC Codes
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摘要: 该文针对不规则LDPC码阐述密度进化原理,比较分析了具体算法的特点与应用。对离散密度进化和高斯近似算法进行了仿真分析,寻找到一些好的分布对。这对促进LDPC码以及其它现代高效纠错码的理论分析和应用研究具有重要指导意义。Abstract: In this paper, the principle of density evolution combined with decoding process is explained firstly. Two algorithms discretized density evolution and Gaussian approximation to program the evolution proceeding are discussed. Simulation results of some good distribution pairs that are found are presented as well.
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Chung S Y, Forney J G D, Richardson T, Urbanke R. On the design of low-density parity-check codes within 0.0045 dB of the Shannon limit. IEEE Commun. Lett., 2001, 5(2): 58 - 60.[2]Richardson T, Urbanke R. The capacity of low-density paritycheck codes under message-passing decoding[J].IEEE Trans. on Info. Theory.2000, 47(2):599-[3]Richardson T, Shokrollahi A, Urbanke R. Design of capacityapproaching low-density parity-check codes[J].IEEE Trans. on Info.Theory.2001, 47(2):619-[4]Chung S Y, Urbanke R, Richardson T. Gaussian approaximation for sum-product decoding of low-density parity-check codes. In Proc. Int. Symp. Info. Theory, Sorrento, Italy, Jun, 2000:318.
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