卫星激光通信中一种基于矩阵扩展的RC-LDPC码构造方法

A Construction Method of RC-LDPC Codes Based on The Matrix Extension for Satellite Laser Communications

摘要:

为降低卫星激光通信系统中的硬件资源,结合斐波那契数列的性质,基于矩阵扩展的方法提出了一种码率兼容低密度奇偶校验(Rate-Compatible Low-Density Parity-Check,RC-LDPC)码的构造方法。用该方法所构造的RC-LDPC码围长为6且具有准循环特性,所需存储元素少,降低了计算复杂度,利于硬件实现,更适合在卫星激光系统中传输。仿真结果表明:利用该方法构造的RC-LDPC码在较大码率范围内均具有良好的译码性能,且在相同条件下,当误码率(BER)为10-6时,所构造的RC-LDPC码与同码率、同码长的其他码型相比较,其净编码增益均有一定提高。

Abstract:

A novel construction method of rate-compatible low-density parity-check(RC-LDPC) codes based on the matrix extension and combined with the properties of Fibonacci sequences is proposed in order to reduce the hardware resource in satellite laser communication systems. The RC-LDPC code with girth-6 and quasi-cyclic characteristics can be constructed by this construction method, which can save the storage elements and reduce the computational complexity. Its hardware implementation was more easily realized and the RC-LDPC code is more suitable for satellite laser communication systems. The simulation results show that the RC-LDPC code constructed by this method can realize a better decoding performance in a wider code-rate range. Under the same parameters, the net coding gain of the constructed RC-LDPC code is more than those of other codes with the same code-rate and code-length at the bit error rate (BER) of 10-6.