基于小波变换与自适应滤波的Gibbs现象消除手段

将自适应滤波和基于αTrons算法的二进小波变换相结合,以周期性矩形波为例进行Gibbs现象滤波分析,仿真验证此算法在重构项数、权值系数、收敛因子和循环次数选取合适时能很好地消除Gibbs现象,从而为分析与抑制小波变换中的Gibbs现象提供一种新途径。

A Method to Relief Gibbs Phenomenon Based on Wavelet Transform and Adaptive Filtering

At present wavelet transform are widely applied in power systems, but when wavelet transform is truncated in time-domain, so-called Gibbs phenomenon takes place and the result of analysis is affected. Here, taking periodical rectangular wave for example and combining adaptive filtering with binary wavelet transform based on Trous algorithm, the filtration of Gibbs phenomenon is researched. Simulation results show that when reconstitution number of terms, convergence factor, coefficient of weight value and cycling times are properly chosen, the Gibbs phenomenon can be well restrained, therefore a new approach to analyze and restrain the Gibbs phenomenon occurred in wavelet transform is provided.