最小二乘方算法与傅立叶算法的比较分析  

The Compare and Analysis Between the Least Square Method and Fast Fourier Transform

作　　者：徐毅[1] 阮建国[1] 

机构地区：[1]华东理工大学,上海200237

出　　处：《山西电子技术》2006年第6期16-17,23,共3页Shanxi Electronic Technology

摘　　要：傅立叶算法在分析基波和非整次谐波以及直流衰减信号时,存在一定的误差。提出用最小二乘方算法代替傅立叶算法。这种算法是将输入的暂态电气量与一个预设的含有非周期分量及某些谐波分量的函数按最小二乘方(或称最小平方误差)原理进行拟和,从而求出所需信号。仿真结果表明,这种算法可以消除输入信号中的非整次谐波以及直流衰减信号暂态分量。Some certain errors are existing for analyzing the sinusoidal signal of fundamental harmonic, non-integral harmonic and the decay quantity signal of direct current. In this article, FFT is replaced by the least square method. The algorithm compares the input-pause electrical variable with a preset function which include non-period component and some harmonic component according to the least square method to acquire the signal that you need. The simulation shows that the least square can effectively eliminate the non-integral harmonic in signal and the pause-variable of direct current decay signal.

关 键 词：信号处理 傅立叶算法 最小二乘方算法 

分 类 号：TP301[自动化与计算机技术—计算机系统结构]