摘要
为了减少传统全波傅里叶算法的计算量,人们总结出了递推离散傅里叶算法,但它对衰减直流分量的滤除不明显。该文提出了一种新的递推算法,该算法基于三角函数和差公式以及线性方程组的求解,并且计算量与原有递推傅里叶算法相近,理论上可以消除直流分量对各次谐波的影响。
To reduce computational complexity of the conventional full-wave Fourier algorithm, the recursive discrete Fourier algo- rithm is deduced, but it cannot completely filter decaying direct current component. For this reason, this paper presents a novel recursive algorithm. The novel algorithm is based on sum-and-difference formula of trigonometrical function and solution of linear equations, and its computational work is nearly same as that of traditional recursive algorithm. What＇s more,it can eliminate the influence of the decaying direct current component on any harmonic component theoretically.
出处
《继电器》
CSCD
北大核心
2005年第17期17-20,共4页
Relay
关键词
全波傅氏算法
递推DFT
衰减直流分量
交流采样
full-wave Fourier algorithm
recursive DFT
decaying direct current component
AC sampling
