混沌理论在现代信道编码技术中的应用

混沌现象是一种在自然界和人类社会中存在的普遍现象.混沌运动的基本特征是运动轨道的不稳定性,表现为对初始条件的敏感依赖性,又称为蝴蝶效应.如何将混沌研究成果应用于其它领域已成为非线性科学发展的重要课题,本文探索了如何将混沌理论应用到信道编码研究中.由于交织器和校验矩阵分别对Turbo码和LDPC码的性能起着至关重要的作用,本文致力于交织器和校验矩阵的研究和设计.根据Henon混沌模型的内在随机性分别对Turbo码中的交织器和LDPC码中的校验矩阵提出了新的设计方法.仿真结果表明:与现有方法相比,基于混沌理论构造的交织器和校验矩阵可分别使Turbo码和LDPC码获得更高的增益,因而混沌方法可用于构造出好的Turbo码和LDPC码.

Application Study on Chaotic Theory for Modern Channel Coding

The phenomenon of Chaos can be observed extensively in both nature and human society.The fundamental characteristic of chaotic behavior is its unstable trajectory,and the sensitive dependence on initial conditions,so it is also referred as the butterfly effect.How to exploit the beneficial aspect of Chaos has become an important part of nonlinear science.In this paper,the issues of application of Chaos theory to error control coding are addressed.As the interleaver and parity-check matrix respectively play a critical component in Turbo codes and LDPC codes,we conduct the research on the application of chaotic theory to the design of them.We present the improved designing methods of interleaver and parity check matrix according to the immanent randomness of the Henon chaotic model for Turbo codes and LDPC codes respectively.Simulation results show that the Henon method can yield higher coding gain compared with the traditional Turbo codes and LDPC codes,showing that Henon chaotic model a good tool for constructing good codes.