基于改进小波包的非整次谐波分析算法

小波函数是具有时域和频域良好局部化特性的函数,可以用于非整次谐波的检测。但是小波变换算法存在着频谱泄漏和栅栏现象,给谐波的检测带来误差。文章提出了改进小波包快速算法,在每层信号分解或重构过程中,在原小波滤波器后面串联一个新的纠正滤波器,使得重构信号中的幅值失真和频谱混叠现象得到有效改善,实现检测非整次谐波的方法。通过仿...

Non- integer harmonics analysis algorithm based on improved wavelet packet

The wavelet function is a function which possesses good localization characteristics in time domain and frequency domain,so theoretically it can be applied to the detection of non-integer harmonics.Because of the frequency mixing phenomenon caused by leakage of frequency spectrum,some errors are brought to the detection of harmonics.An improved wavelet packet fast algorithm is proposed,where a newly designed correcting filter is put behind the original wavelet filter in series during each layer of signal decomposition or reconstruction so that the aliasing and distorted sub-band reconstructed signals can be effectively improved. Compared with the traditional algorithm by the simulation,the results show that the improved algorithm can effectively avoid the spectrum aliasing and interlacing phenomenon in the reconstruction of the signal,which provides an effective method for the harmonics detection.