To compensate the hysteresis and saturation characteristic of magnetic iron core,a nonlinear module based filter with memory effect is proposed.This module adopts polynomial functions instead of the coefficients of FIR filter to make the output get nonlinear fitting and memory.The existing parameters of magnetism gathering OCT(optical current transformer) measurements are used to train this module,whose output acts as an inverse function of the hysteresis and saturation characteristics.The experiments verif...