摘要
对准循环Q矩阵和完全循环差集进行了研究,在此基础上提出了一种LDPC码码族的代数构造方法。采用准循环Q阵为子矩阵,母矩阵采用范德蒙矩阵。母矩阵首行子矩阵利用循环差集进行随机选择,最终生成校验矩阵H。由于码率、码长等参数可以自由选择,从而使设计的码族具有很好的兼容性。通过Matlab和C联合仿真表明,该方法生成的LDPC码编码相对简单,复杂度基本与码长呈线性关系。AWGN信道下3 dB左右时,BER能够达到10-8数量级并且没有出现误码平台现象。
This paper presents an algebra method for constructing LDPC code based on vanuermonue matrix, which includes quasi-cyclic Q matrix and the perfect cyclic difference sets. Employing quasi-cyclic Q matrix as submatrix, and Vandermonde matrix as mother matrix, finally gets the H matrix. The quasi-cyclic Q matrix has a high flexibility concerning design of the code rate and the code length, which makes it compatible with the existed standards. The combinatorial simulation results from Matlab and C show that the complexity of this algorithm for encodeing is O（N） and relatively easy to implement. By using this method, we get low bit-error-rate with about 10-8@ 0. 5 code rate under the AWGN channel and don＇t detect the error floor in decoding.
出处
《电子器件》
CAS
2009年第2期413-416,421,共5页
Chinese Journal of Electron Devices
基金
上海重点学科建设项目资助(B411)
