一种M带小波的构造方法及其应用

摘要

传统2带小波变换在高频载波信息中提取暂态成分的应用中存在局限性，M带小波变换弥补了这一缺陷。在探讨M带小波基的构造条件的基础上，研究了一种基于余弦调制完全重构滤波器组的M带小波基的构造方法，仿真分析了局部放电暂态信号的6带小波变换的特点，展示了该M带小波基构造及其应用的优点。%The traditional wavelet transform has some limitations in analyzing transient signals, which are accompanied by high frequency carriers. These limitations can be overcome by M-band wavelet transform. The construction conditions of M-band wavelet base are discussed. Then, a new M-band wavelet base construction method based on cosine modulated perfect reconstructing filter group is proposed. A 6-band wavelet base is constructed, its time and frequency characteristics are studied, and the local discharge transient signals are analyzed. The wavelet transform results of the transient indicate the advantages of the proposed method.