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一種軟判決下的RS碼識(shí)別算法

吳昭軍 張立民 鐘兆根 劉傳輝

吳昭軍, 張立民, 鐘兆根, 劉傳輝. 一種軟判決下的RS碼識(shí)別算法[J]. 電子與信息學(xué)報(bào), 2020, 42(9): 2150-2157. doi: 10.11999/JEIT190690
引用本文: 吳昭軍, 張立民, 鐘兆根, 劉傳輝. 一種軟判決下的RS碼識(shí)別算法[J]. 電子與信息學(xué)報(bào), 2020, 42(9): 2150-2157. doi: 10.11999/JEIT190690
Zhaojun WU, Limin ZHANG, Zhaogen ZHONG, Chuanhui LIU. Blind Recognition of RS Codes Based on Soft Decision[J]. Journal of Electronics & Information Technology, 2020, 42(9): 2150-2157. doi: 10.11999/JEIT190690
Citation: Zhaojun WU, Limin ZHANG, Zhaogen ZHONG, Chuanhui LIU. Blind Recognition of RS Codes Based on Soft Decision[J]. Journal of Electronics & Information Technology, 2020, 42(9): 2150-2157. doi: 10.11999/JEIT190690

一種軟判決下的RS碼識(shí)別算法

doi: 10.11999/JEIT190690
基金項(xiàng)目: 國家自然科學(xué)基金(61179016);泰山學(xué)者工程專項(xiàng)(ts201511020)
詳細(xì)信息
    作者簡介:

    吳昭軍:男,1992年生,博士生,研究方向?yàn)樾诺谰幋a識(shí)別

    張立民:男,1966年生,教授,博士生導(dǎo)師,研究方向?yàn)樾l(wèi)星信號(hào)處理及應(yīng)用

    鐘兆根:男,1984年生,博士,講師,研究方向?yàn)閿U(kuò)頻信號(hào)處理

    劉傳輝:男,1984年生,博士,講師,研究方向?yàn)楹娇胀ㄐ畔到y(tǒng)與網(wǎng)絡(luò)

    通訊作者:

    張立民 iamzlm@163.com

  • 中圖分類號(hào): TN911.7

Blind Recognition of RS Codes Based on Soft Decision

Funds: The National Natural Science Foundation of China (61179016), The Taishan Scholar Special Foundation (ts201511020)
  • 摘要: 針對(duì)現(xiàn)有RS碼識(shí)別算法需要對(duì)碼字符號(hào)在不同域之間進(jìn)行轉(zhuǎn)化,且容錯(cuò)性能較差的問題,該文提出一種直接利用軟判決序列完成RS碼識(shí)別算法。算法首先從RS碼定義出發(fā),給出了RS碼校驗(yàn)關(guān)系從GF(2m)到GF(2)上的等價(jià)轉(zhuǎn)換方式,從而避免了不同域下復(fù)雜的符號(hào)轉(zhuǎn)化;其次引入了能夠衡量校驗(yàn)關(guān)系成立大小的平均校驗(yàn)符合度概念,然后基于其統(tǒng)計(jì)特性以及極大極小判決準(zhǔn)則,遍歷可能的碼長以及對(duì)應(yīng)的m級(jí)本原多項(xiàng)式,進(jìn)行初始碼根校驗(yàn)匹配,從而完成碼長以及本原多項(xiàng)式識(shí)別;最后利用識(shí)別出的碼長以及本原多項(xiàng)式,構(gòu)建本原多項(xiàng)式下GF(2m),進(jìn)行連續(xù)碼根匹配判決,最終完成碼生成多項(xiàng)式識(shí)別。仿真結(jié)果表明:推導(dǎo)的平均校驗(yàn)符合度統(tǒng)計(jì)特性與實(shí)際情況一致,算法能在低信噪比下有效完成參數(shù)識(shí)別;同時(shí)該算法具有較好的低信噪比適應(yīng)能力,在信噪比為6 dB條件下,工程中常見的RS碼識(shí)別率均能達(dá)到90%以上。與現(xiàn)有算法相比,該文算法性能明顯好于硬判決算法,且比傳統(tǒng)算法提升1 dB以上性能。
  • 圖  1  校驗(yàn)符合度統(tǒng)計(jì)特性對(duì)比

    圖  2  碼長對(duì)算法識(shí)別性能影響

    圖  3  碼塊數(shù)目對(duì)算法影響

    圖  4  5種算法對(duì)比

    表  1  RS碼編碼器參數(shù)設(shè)定

    m碼長本原多項(xiàng)式生成多項(xiàng)式H1下測試元素H0下測試元素
    415x4+x+1${\alpha ^3}{x^4} + {\alpha ^{11}}{x^3} + {\alpha ^{14}}{x^2} + {\alpha ^6}x + {\alpha ^8}$${\alpha ^2}$${\alpha ^5}$
    531x5+x2+1${\alpha ^4}{x^2} + {\alpha ^{20}}x + \alpha $$\alpha $${\alpha ^3}$
    663x6+x+1${\alpha ^5}{x^4} + {\alpha ^{19}}{x^3} + {\alpha ^{36}}{x^2} + {\alpha ^{14}}x + {\alpha ^{58}}$${\alpha ^3}$${\alpha ^6}$
    下載: 導(dǎo)出CSV

    表  2  不同碼長的RS碼編碼器參數(shù)

    m碼長本原多項(xiàng)式生成多項(xiàng)式糾錯(cuò)能力
    415x4+x+1${\alpha ^3}{x^4} + {\alpha ^{11}}{x^3} + {\alpha ^{14}}{x^2} + {\alpha ^6}x + {\alpha ^8}$2
    531x5+x2+1${\alpha ^4}{x^4} + {\alpha ^{23}}{x^3} + {\alpha ^{13}}{x^2} + {\alpha ^{18}}x + {\alpha ^{25}}$2
    663x6+x+1${\alpha ^5}{x^4} + {\alpha ^{19}}{x^3} + {\alpha ^{36}}{x^2} + {\alpha ^{14}}x + {\alpha ^{58}}$2
    7127x7+x+1${\alpha ^6}{x^4} + {\alpha ^{23}}{x^3} + {\alpha ^{69}}{x^2} + {\alpha ^{18}}x + {\alpha ^{123}}$2
    8255x8+x4+x3+x2+1${\alpha ^7}{x^4} + {\alpha ^{78}}{x^3} + {\alpha ^{248}}{x^2} + {\alpha ^{73}}x + {\alpha ^{252}}$2
    下載: 導(dǎo)出CSV
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  • 收稿日期:  2019-09-05
  • 修回日期:  2020-04-16
  • 網(wǎng)絡(luò)出版日期:  2020-04-23
  • 刊出日期:  2020-09-27

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