整数运算下非线性数字滤波器的混浊特性

Chaotic characteristics of nonlinear digitial filter under intergal operation

从线性滤波器在二维环面中投影的模型出发，证明了非线性数字滤波器在某些整系数情况下的混沌特性，并进而讨论将实域系统转为数字系统的问题，以及在全整数运算下非线性数字滤波器的表现．事实证明，整数系统不但能表现出与实域系统类似的性能，在实际应用，特别是保密通讯中还有分布均匀、实现简单、结构灵活、改进方便等特点．文章在最后提出了实际中的应用设想及建议．

nder the model of linear digital filter casted to two dimensional torns,the demonstration of some chaotic characteristics of nonlinear digital filter is discribed,which show the substance of transformation from real space to digital space. Further study of nonlinear digital filter in intergal domain is also discussed. Some experimental results are given to exhibit the advantages of intergal operation especially in the field of secure communication.