Wevelsiep K
J Math Biol. 1977 Feb 28;4(1):81-99. doi: 10.1007/BF00276354.
The properties of nonlinear spatial filters as a major part of the peripheral nervous system are investigated with respect to processing of two types of signals: a deterministic stepfunction and Graussian noise. The nonlinearity of the nerve cell is treated as a threshold element. It is shown that certain unfavorable characteristics of linear filters do not occur in such nonlinear filters. The basic nonlinear effects of combined space-time-filtering are demonstrated by using bandpass filters. Time-and space-dependent noise is applied to the nonlinear bandpass. The two subsystems formed by linear bandpass section and the threshold are treated separately. Two examples for the application of nonlinear spatial filtering are given.
作为周围神经系统主要组成部分的非线性空间滤波器的特性,针对两种类型信号的处理进行了研究:确定性阶跃函数和高斯噪声。神经细胞的非线性被视为一个阈值元件。结果表明,线性滤波器的某些不利特性在这种非线性滤波器中不会出现。通过使用带通滤波器演示了组合时空滤波的基本非线性效应。将与时间和空间相关的噪声应用于非线性带通。由线性带通部分和阈值形成的两个子系统分别进行处理。给出了非线性空间滤波应用的两个例子。