基于傅里叶算法的衰减直流分量消除的研究

摘要

针对消除衰减直流分量算法中,存在用时长和误差大的缺陷,提出一种在假定输入信号只含有基频分量、衰减直流分量和各整次谐波分量的情况下,对全波傅里叶算法进行改进.其基本原理是对衰减直流分量的正弦、余弦分量的系数进行补偿,消除衰减直流分量对全波傅里叶算法的影响.并用Matlab对算法进行仿真,从仿真结果可以看出,在不考虑非整次谐波分量的影响时,改进算法效果十分理想.%According to the shortcomings of rough time consumingness and large errors of current decaying DC component algorithms, this paper introduces an improved full - wave Fourier algorithm on condition that the input signals only contain the fundamental frequency component, decaying DC component and integer harmonic components. Its principle is to compensate for the coefficients of the decaying sine component and cosine component, successfully eliminating the impact of the decaying DC component on the full - wave Fourier algorithm. Also, a simulation of this newly - brought algorithm has been done by Matlab, and the simulation results shows that the improved algorithm has achieved very good results under circumstances without considering the impact of non - integer harmonic wave component.