基于快速小波变换的信号分析系统

介绍了小波分析中的快速小波变换算法，通过与常用小波基相对应的正交镜像滤波器组，实现了信号的快速小波分解和重构。结合虚拟仪器技术，研制成功虚拟式快速小波变换信号分析系统。经由该系统分析的动态信号，即可看到信号的概貌，又可看到信号的细节，特别能捕获到反映设备重要故障特征的奇异信号以及提纯被噪声污染的信号。

The Signals Analysis System Based on Fast Wavelet Transform

The fast wavelet transform (FWT) algorithm in wavelet analysis was introduced in the paper. With quadrature mirror filters (QMF) associated with popular wavelet bases, the fast wavelet decomposition and reconstruction for signals were implemented. Combined with virtual instrument technique, the FWT analysis system for signals was successfully developed. The system can break up signal not only into approximations, which are the high-scale and low-frequency components of the signal, but also into details which are the low-scale and high-frequency components. Especially it can identify singularity signal, which contain some important message of equipment condition and fault, and refine signal from noisy signal, which is corrupted by noise.