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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．
Starting from the model of linear filter projected in two-dimensional torus, the chaotic characteristics of nonlinear digital filter under certain integral coefficients are proved, and then the problem of converting real domain system to digital system is discussed. Performance of Nonlinear Digital Filter in Integer Operation. Facts have proved that the integer system can not only exhibit the performance similar to the real domain system, but also have the characteristics of uniform distribution, simple implementation, flexible structure and convenient improvement in practical applications, especially in secure communication. Finally, the article puts forward the practical application of the ideas and suggestions.