Nonlinear analysis of the iterative decoding of parallel concatenated convolutional codes

Lehmann F.; Maggio G.M.

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Nonlinear analysis of the iterative decoding of parallel concatenated convolutional codes

机译：并行级联卷积码迭代解码的非线性分析

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摘要

In this correspondence, we introduce a simple one-dimensional (1-D) nonlinear map to describe the iterates of the bit-error rate (BER) of parallel-concatenated convolutional codes (PCCC) on the binary-input Gaussian channel. A lower bound on this map is derived based upon the weight enumerator of the constituent codes, thus enabling the characterization of the dynamics of the decoder in terms of fixed points, along with the associated stability analysis.

机译：在这种对应关系中，我们引入了一个简单的一维（1-D）非线性映射来描述二进制输入高斯信道上并行级联卷积码（PCCC）的误码率（BER）的迭代。基于组成代码的权重枚举，可以得出此映射图的下限，从而可以根据固定点来表征解码器的动态特性，并进行相关的稳定性分析。

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《IEEE Transactions on Information Theory》 |2005年第6期|p.2190-2198|共9页
作者
Lehmann F.; Maggio G.M.;
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正文语种 eng
中图分类无线电电子学、电信技术;
关键词
Gaussian channels; concatenated codes; convolutional codes; error statistics; iterative decoding; nonlinear dynamical systems; BER; PCCC; associated stability analysis; binary-input Gaussian channel; bit-error rate; constituent code; iterative decoding; nonlinear ana;

机译：高斯信道;级联码;卷积码;错误统计;迭代解码;非线性动力系统;BER;PCCC;相关稳定性分析;二进制输入高斯信道;误码率;本构码;迭代解码;非线性模拟;

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1. EXIT Chart Analysis of Iteratively Decoded Parallel Concatenated Codes in a Relay-Assisted Communication Scenario [J] . Marouen Jilani, Tomoaki Ohtsuki 電子情報通信学会技術研究報告 . 2012,第403期

机译：中继辅助通信场景中迭代解码的并行级联码的EXIT图表分析
2. EXIT Chart Analysis of Iteratively Decoded Parallel Concatenated Codes in a Relay-Assisted Communication Scenario [J] . Marouen Jilani, Tomoaki Ohtsuki 電子情報通信学会技術研究報告 . 2012,第404期

机译：中继辅助通信场景中迭代解码的并行级联码的EXIT图表分析
3. EXIT Chart Analysis of Iteratively Decoded Parallel Concatenated Codes in a Relay-Assisted Communication Scenario [J] . Marouen Jilani, Tomoaki Ohtsuki 電子情報通信学会技術研究報告. 信号処理. Signal Processing . 2011,第403期

机译：中继辅助通信场景中迭代解码的并行级联码的EXIT图表分析
4. Viterbi algorithm for iterative decoding of parallel concatenated convolutional codes [C] . Cristea Bogdan European Signal Processing Conference . 2010

机译：平行连接卷积码迭代解码的维特比算法
5. Map decoding of linear block codes, iterative decoding of Reed-Solomon codes and interactive concatenated turbo coding systems. [D] . Liu, Ye. 1999

机译：线性分组码的映射解码，里德-所罗门码的迭代解码和交互式串联Turbo编码系统。
6. Deep Ensemble of Weighted Viterbi Decoders for Tail-Biting Convolutional Codes [O] . Tomer Raviv, Asaf Schwartz, Yair Be’ery 2021

机译：用于尾纹卷积码的加权维特比解码器的深组合
7. Nonlinear Analysis of the Iterative Decoding of Parallel Concatenated Convolutional Codes [O] . F. Lehmann, G.M. Maggio 2005

机译：并行级联卷积码迭代译码的非线性分析
8. Analysis, Design and Iterative Decoding of Double Serially Concatenated Codes with Interleavers [R] . Benedetto, S., Divsalar, D., Montorsi, G., 1998

机译：具有交织器的双串行级联码的分析，设计和迭代译码

Nonlinear analysis of the iterative decoding of parallel concatenated convolutional codes

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