Linear system modelization of concatenated block and convolutional codes

Climent JJ; Herranz V; Perea C

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Linear system modelization of concatenated block and convolutional codes

机译：级联块和卷积码的线性系统建模

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摘要

In this paper, we characterize four models of concatenation of a block code and a convolutional code from a linear systems theory viewpoint. We provide the input-state-output representation of these models and we give conditions in order to get a non-catastrophic concatenated convolutional code with minimal representation. Lower bounds on the free distances of the concatenated codes are also developed.

机译：在本文中，我们从线性系统理论的角度描述了块代码和卷积代码的级联的四个模型。我们提供这些模型的输入-状态-输出表示，并给出条件以得到具有最小表示的非灾难性级联卷积代码。还开发了级联代码的自由距离的下限。

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《Linear Algebra and its Applications》 |2008年第6期|共22页
作者
Climent JJ; Herranz V; Perea C;
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正文语种 eng
中图分类线性代数;
关键词
concatenated code; input-state-output representation; minimal representation; observable pair; controllable pair; column distance; free distance; MDS code; strongly MDS convolutional code;

机译：级联代码;输入状态输出表示;最小表示;可观察对;可控制对;列距离;自由距离;MDS代码;强MDS卷积代码;

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专利

1. Linear system modelization of concatenated block and convolutional codes [J] . Climent JJ, Herranz V, Perea C Linear Algebra and its Applications . 2008,第5a6期

机译：级联块和卷积码的线性系统建模
2. Parallel concatenated convolutional codes from linear systems theory viewpoint [J] . Climent Joan-Josep, Herranz Victoria, Perea Carmen Systems and Control Letters . 2016,第Null期

机译：从线性系统理论角度看并行级联卷积码
3. A first approximation of concatenated convolutional codes from linear systems theory viewpoint [J] . Climent JJ, Herranz V, Perea C Linear Algebra and its Applications . 2007,第2a3期

机译：从线性系统理论的角度看级联卷积码的第一近似
4. Concatenated convolutional codes: Analysis of control properties under linear systems theory point of view [C] . Garcia-Planas Maria Isabel, Soudi El Mamoun, Um Laurence Emilie 2013 National Security Days . 2013

机译：级联卷积码：线性系统理论观点下的控制特性分析
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. Convolutional Networks Outperform Linear Decoders in Predicting EMG From Spinal Cord Signals [O] . Yi Guo, Sinan Gok, Mesut Sahin 2018

机译：从脊髓信号预测肌电图中卷积网络优于线性解码器
7. Linear system modelization of concatenated block and convolutional codes [O] . Climent Joan-Josep, Herranz Victoria, Perea Carmen 2008

机译：级联块和卷积码的线性系统建模

Linear system modelization of concatenated block and convolutional codes

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