Analysis of iterative decoding of turbo codes

Jun Tan, Gordon L. Stüber
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Abstract

An analytical model for the extrinsic information of iterative max-log-MAP decoding of turbo codes is established based on a maximum probability approximation. The extrinsic information can be expressed as a Gaussian random variable with a mean and variance that are linear combinations of the received symbols. An important measure, called the effective weight, which is related to the pairwise error probability, is defined to explain the iterative decoding effect on a given code sequence. The evaluation of the pairwise error probability performance through decoder iterations can be calculated based on this model. The proposed approach can serve as a tool for the analysis of iterative max-log-MAP decoding.
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turbo码的迭代译码分析
基于最大概率近似,建立了turbo码迭代max-log-MAP译码的外部信息解析模型。外部信息可以表示为高斯随机变量,其均值和方差是所接收符号的线性组合。定义了一个重要的度量,称为有效权值,它与成对错误概率有关,用于解释给定码序列上的迭代解码效果。基于该模型,可以通过解码器迭代计算对错误率性能的评价。该方法可作为迭代最大对数map解码分析的工具。
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