Viterbi Decoding of Block Codes Using Orthogonal Property

Ma Jianhua; Wang Xinmei

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Viterbi Decoding of Block Codes Using Orthogonal Property

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- Viterbi Decoding of Block Codes Using Orthogonal Property
- Acta Electronica Sinica Issue 3, Pages: 36-43(1990)
- 作者机构：
  
  西安电子科技大学信息工程系
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：1990
- 稿件说明：
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[1]马建华,王新梅.利用正交性的分组码维特比译码[J].电子学报,1990(03):36-43+89.

Ma Jianhua, Wang Xinmei. Viterbi Decoding of Block Codes Using Orthogonal Property[J]. Acta Electronica Sinica, 1990, (3): 36-43.
[1]马建华,王新梅.利用正交性的分组码维特比译码[J].电子学报,1990(03):36-43+89. DOI：

Ma Jianhua, Wang Xinmei. Viterbi Decoding of Block Codes Using Orthogonal Property[J]. Acta Electronica Sinica, 1990, (3): 36-43. DOI：

摘要

维特比译码是译n-k较小的（n

k）线性分组码的一种方法。本文研究二进制的（n

k）线性分组的监督矩阵含有一J维正交子阵时

其相应的篱笆图和维特比译码

使得译码所需的存贮状态数从2

n-k

降到2

n-k-J+1

且性能保持不变。文章的最后证明了正交子阵维数的上下限。

Abstract

This paper proves that when a parity matrix of linear binary block code contains a J dimensional orthogonal submatrix

state number of the trellis to be stored in the Vi-terbi decoding is reduced to 2n-k-j+1 from 2n-k and the performance of the decoding is not changed. Lower and upper bounds of the dimension of the orthogonal sub-matrixes are given at the last.

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