QC-LDPC编码OFDM系统的码优化及迭代译码

为解决在多径环境下,部分正交频分复用(OFDM)子载波可能遭受深衰落而导致系统性能严重下降的问题,该文提出了一种准循环低密度奇偶校验(QC-LDPC)编码的OFDM系统.在该系统中,编码后的校验比特被映射到更高阶的星座图中,并在迭代译码中采用Group Shuffled消息传递调度.根据码字比特映射方式的不同,利用基于Group Shuffled置信传播的密度演进的高斯近似对QC-LDPC码进行了优化.加性高斯白噪声和Rayleigh衰落信道下的仿真结果表明,该系统具有更好的纠错性能和更快的译码收敛速度.     

递归构造低密度校验(LDPC)码的方法

针对Tanner图中圈的增加会影响码的性能的问题,提出了一种递归构造低密度校验(LDPC)码的方法。该方法利用一个短的LDPC码的校验矩阵作为其母矩阵,在此基础上采用循环置换矩阵构造一个长的LDPC码。通过对循环转置矩阵的参数进行约束,可以保证所构造的长码的Tanner图中指定长度的圈的个数等于或者小于其短码,且可以构造规则或者非规则的LDPC码。仿真结果表明,采用该方法构造的LDPC码具有较低的误码平台,其性能与好的随机LDPC码几乎相同。     

Code Design and Shuffled Iterative Decoding of a Quasi-Cyclic LDPC Coded OFDM System

In multipath environments,the error rate performance of orthogonal frequency division multiplexing (OFDM) is severely degraded by the deep fading subcarriers.Powerful error-correcting codes must be used with OFDM.This paper presents a quasi-cyclic low-density parity-check (LDPC) coded OFDM system,in which the redundant bits of each codeword are mapped to a higher-order modulation constellation.The optimal degree distribution was calculated using density evolution.The corresponding quasi-cyclic LDPC code was then constructed using circulant permutation matrices.Group shuffled message passing scheduling was used in the iterative decoding.Simulation results show that the system achieves better error rate performance and faster decoding convergence than conventional approaches on both additive white Gaussian noise (AWGN) and Rayleigh fading channels.