Blind recognition of primitive BCH code based on average cosine conformity

Zhaojun WU; Limin ZHANG; Zhaogen ZHONG; Yufeng LONG

doi:10.11959/j.issn.1000-436x.2020022

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Blind recognition of primitive BCH code based on average cosine conformity

Papers | 更新时间：2024-06-05

- Blind recognition of primitive BCH code based on average cosine conformity
- Journal on Communications Vol. 41, Issue 1, Pages: 15-24(2020)
- 作者机构：
  
  1. 海军航空大学信息融合研究所，山东烟台 264001
  2. 海军航空大学航空基础学院，山东烟台 264001
  3. 海军航空大学310教研室，山东烟台 264001
- 作者简介：
- 基金信息：
  
  The National Natural Science Foundation of China(91538201);The Project Supported by Taishan Scholar Founda-tion(ts201511020)
- DOI：10.11959/j.issn.1000-436x.2020022
  CLC： TN911.7
- Online First：2020-01，
  
  Published：25 January 2020
- 稿件说明：
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Zhaojun WU, Limin ZHANG, Zhaogen ZHONG, et al. Blind recognition of primitive BCH code based on average cosine conformity[J]. Journal on Communications, 2020, 41(1): 15-24.
DOI：

Zhaojun WU, Limin ZHANG, Zhaogen ZHONG, et al. Blind recognition of primitive BCH code based on average cosine conformity[J]. Journal on Communications, 2020, 41(1): 15-24. DOI： 10.11959/j.issn.1000-436x.2020022.

摘要

为克服现有 BCH 码识别算法在低信噪比下适应性差的缺点，提出了一种基于平均余弦符合度的识别算法。首先遍历可能的码长值以及m级本原多项式域，进行初始码根校验匹配，从而完成码长识别；然后在识别出码长前提下，遍历m级本原多项式下的GF(2

)域，其最强纠错能力的本原多项式即为GF(2

)域生成多项式；最后求取所有连续码根最小多项式对应的最小公倍式，完成编码生成多项式识别。在校验匹配过程中，引入了平均余弦符合度统计量，基于软判决下符合度的统计特性以及最小错误判决准则求解出最优门限，从而实现本原BCH码参数快速识别。仿真结果表明，推导的符合度统计特性与实际情况一致，所提算法能在低信噪比下有效完成参数识别，同时具有较好的低信噪比适应能力，在信噪比为5 dB，码长为511的条件下，能够完成参数的可靠识别，与目前算法相比，所提算法性能优于现有的软判决算法，且比硬判决算法提升1~3.5 dB。

Abstract

In order to overcome the poor performance of existing algorithms for recognition of BCH code in low signal-to-noise ratio (SNR)

a recognition algorithm based on average cosine conformity was proposed.Firstly

by traversing the possible values of code length and m-level primitive polynomial fields

the code l

ength was identified by matching the initial code roots.Secondly

on the premise of recognizing the code length

the GF(2

) domain was traversed under the m-level primitive polynomial and the primitive polynomial with the strongest error-correcting ability was the generator polynomial for the domain.Finally

the minimum common multiple corresponding to the minimum polynomial of code roots was obtained

and the BCH code generator polynomial was recognized.In checking matching

the statistic of average cosine conformity was introduced.The optimal threshold was solved based on the minimum error decision criterion and distribution of the statistic to realize the fast identification of the BCH.The simulation results show that the deduced statistical characteristics are consistent with the actual situation

and the proposed algorithm can achieve reliable recognition under SNR of 5 dB and code length of 511.Comparing with existing algorithms

the performance of the proposed algorithm is better than that of the existing soft-decision algorithm and 1~3.5 dB better than that of the hard-decision algorithms.

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references

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