CAJ | 학술논문

为增大QC-LDPC码围长的同时减少码中包含的短环，提高其纠错性能，提出了一种基于中国剩余定理( CRT)的QC-LDPC码改进联合构造方法。该方法将设计围长为g的长码长的QC-LD-PC码的问题简化为设计一个围长为g的短分量码的问题，然后通过对其余分量码校验矩阵的列块进行适当置换，使得构造出的QC-LDPC码具有更少的短环和更优的性能，更适于可靠性要求较高的通信系统。仿真结果表明，与已有的CRT联合构造方法设计的QC-LDPC码相比，新方法构造的QC-LDPC码具有更少的短环，在误码率为10-6时获得了1.2 dB的编码增益。
위증대QC-LDPC마위장적동시감소마중포함적단배，제고기규착성능，제출료일충기우중국잉여정리( CRT)적QC-LDPC마개진연합구조방법。해방법장설계위장위g적장마장적QC-LD-PC마적문제간화위설계일개위장위g적단분량마적문제，연후통과대기여분량마교험구진적렬괴진행괄당치환，사득구조출적QC-LDPC마구유경소적단배화경우적성능，경괄우가고성요구교고적통신계통。방진결과표명，여이유적CRT연합구조방법설계적QC-LDPC마상비，신방법구조적QC-LDPC마구유경소적단배，재오마솔위10-6시획득료1.2 dB적편마증익。
An improved combining method for designing quasi-cyclic low-density parity-check ( QC-LD-PC) codes based on Chinese Remainder Theorem( CRT) is proposed to improve the error-correcting per-formance by increasing the girth and decreasing the number of short cycles. With the CRT combining method,the difficult problem of designing QC-LDPC codes with girth g is translated into a task of desig-ning one component code with girth g. By properly permuting the column blocks of parity-check matrices of other component codes,a lot of QC-LDPC codes with much shorter cycles and better performance can be designed,which are more suitable for communication systems with request of high reliability. Simulations show that compared with existing CRT-based QC-LDPC codes,the proposed QC-LDPC codes have much shorter cycles and obtain 1. 2 dB coding gain at bit error rate(BER) of 10-6.