CAJ | 학술논문

设计了基于巴特沃斯数字滤波器的巴特沃斯小波及其滤波器组，并从小波的卷积型定义出发，利用零相位滤波原理实现了没有下抽样环节的具有零相位特性的巴特沃斯小波变换快速算法，成功消除滤波器的非线性相位对分解结果的影响。相对于常用正交小波滤波器组，巴特沃斯小波滤波器组不仅具有更好的频带分离特性，还可通过改变尺度参数来改变对信号的频带划分的方式，从而将原信号高频带分解在更精细的频带范围内，克服了常用正交小波滤波器组频带分离特性不够好，并总按二进方式划分频带、频率分析精度显得不足的固有缺陷。实例分析证明：巴特沃斯小波滤波器组相比于其他常用的正交小波滤波器组具有更好的频带分离特性和更强的微弱故障特征提取能力，非常适合于轴承早期故障诊断。
설계료기우파특옥사수자려파기적파특옥사소파급기려파기조，병종소파적권적형정의출발，이용령상위려파원리실현료몰유하추양배절적구유령상위특성적파특옥사소파변환쾌속산법，성공소제려파기적비선성상위대분해결과적영향。상대우상용정교소파려파기조，파특옥사소파려파기조불부구유경호적빈대분리특성，환가통과개변척도삼수래개변대신호적빈대화분적방식，종이장원신호고빈대분해재경정세적빈대범위내，극복료상용정교소파려파기조빈대분리특성불구호，병총안이진방식화분빈대、빈솔분석정도현득불족적고유결함。실례분석증명：파특옥사소파려파기조상비우기타상용적정교소파려파기조구유경호적빈대분리특성화경강적미약고장특정제취능력，비상괄합우축승조기고장진단。
The Butterworth wavelet and its filter banks based on Butterworth digital filter were designed. The fast algorithm of the Butterworth wavelet transform was established from the viewpoint of the convo-lution definition of the wavelet by use of the Butterworth wavelet filter banks and zero-phase filter.The effect of nonlinear phase on the decomposition result was overcome in the fast algorithm.Compared with the other orthogonal wavelets filter banks,Butterworth wavelet filter banks not only have better band separation capability,but also can change band separation mode by means of changing the scale to decom-pose the signal into the smaller frequency range.As a result,the filter banks overcome the inherent defect that orthogonal wavelets filter banks separate the band only by use of the dyadic mode.The instance ana-lysis to the incipient fault data showed that,compared with the other orthogonal wavelet,the Butter-worth wavelet possesses the better band separation characteristics and can extract the weaker fault feature more effectively.Thus the Butterworth wavelet can widely apply to the bearing incipient fault diagnosis.