一种能滤除衰减直流分量的改进半波傅氏算法

An Improved half-wave Fourier algorithm for filtering the decaying DC component

半波傅氏算法是基于采样信号不含衰减直流分量而推导出来的,对衰减直流分量的滤除不明显。新算法通过增加两个采样点,使其对直流分量的滤波效果得到大大的改善。理论上新算法可以消除任意衰减时间常数的直流分量对所求各次谐波分量的影响。仿真试验表明,该算法消除直流衰减分量的能力强,计算量小,具有实际应用前景。

The halfwave Fourier algorithm was derived by the sampling signal without decaying DC component, and can't filtrate the component. By adding two sampling points, new algorithm can filtrate it evidently. In theory, the influence of the exponential DC component on the fundamental wave component with random decay time constant can be completely eliminated with the algorithm. The simulations proved that the algorithm can filtering exponential DC component and just need little calculation capacity.