A low complexity detection/decoding algorithm for NB-LDPC coded PRCPM system

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• 作者：Xiying Liu^a ; ^b ; ^{liuxiying@gdut.edu.cn" class="auth_mail" title="E-mail the corresponding author}Author Vitae ; Shancheng Zhao^c ; ^{zhaoday@mail2.sysu.edu.cn" class="auth_mail" title="E-mail the corresponding author}Author Vitae ; Xiao Ma^a ; ^{maxiao@mail.sysu.edu.cn" class="auth_mail" title="E-mail the corresponding author}Author Vitae
• 关键词：BCJR algorithm ; Iterative decoding ; NB-LDPC codes ; PRCPM ; XX-EMS algorithms
• 刊名：Physical Communication
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：17
• 期：Complete
• 页码：165-171
• 全文大小：727 K

文摘

This paper studies the combination of non-binary low-density parity-check (NB-LDPC) codes and M$M$-ary partial response continuous phase modulation (PRCPM). A low-complexity joint detection/decoding algorithm is proposed, which is referred to as the Max-Log-MAP/X$X$-EMS algorithm. In this joint algorithm, the CPM detector is implemented by the Max-Log-MAP algorithm while the LDPC decoder is implemented by the extended min-sum (EMS) algorithms. Three kinds of EMS algorithms, including D$D$-EMS, T$T$-EMS, and M$M$-EMS algorithms, are compared, which are referred to as X$X$-EMS algorithm for convenience. Simulation results show that the Max-Log-MAP/X$X$-EMS algorithm performs as well as the traditional iterative detection/decoding algorithm based on the BCJR algorithm and the q$q$-ary sum–product algorithm, but with lower complexity. In addition, comparison of the proposed NB-LDPC coded PRCPM system with the eBCH coded PRCPM system is given, which shows the performance advantages of our system.