| 摘要: |
| 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-LDPC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。 |
| 关键词: QC-LDPC 循环置换矩阵 大围长 中国剩余定理 编码增益 |
| DOI： |
|
| 基金项目:国家自然科学基金资助项目(No.61201194，61102047，61301091)；陕西省自然科学基础研究计划项目（2014JQ8318） |
|
| An improved method for constructing QC-LDPC codes based on Chinese remainder theorem |
| LIU Yuan-hua,NIU Xin-liang,ZHANG Mei-ling |
| () |
| Abstract: |
| An improved combining method for designing quasi-cyclic low-density parity-check(QC-LDPC) codes based on Chinese Remainder Theorem(CRT) is proposed to improve the error-correcting performance 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 designing 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. |
| Key words: QC-LDPC code circulant permutation matrix large girth Chinese remainder theorem coding gain |
