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介绍了小波分析的产生与发展及理论现状,小波分析是傅立叶分析思想方法的发展与延拓。小波基的构造以及结果分析都依赖傅立叶分析,传统上使用傅立叶分析的地方,都可以使用小波分析,小波分析在超越傅立叶分析的同时与傅立叶分析相互补充,螺旋式向前发展。还分析了小波分析在声发射信号处理中的应用现状,并指出了存在的不足及今后的前景展望。
The generation and development of wavelet analysis and its theoretical status are introduced. Wavelet analysis is the development and extension of Fourier analysis. The construction and result analysis of wavelet bases all depend on Fourier analysis. Wherever Fourier analysis is traditionally used, wavelet analysis can be used. Wavelet analysis is complementary to Fourier analysis while extending beyond Fourier analysis, and spiral develops forward. The application status of wavelet analysis in acoustic emission signal processing is also analyzed. The existing problems and future prospects are pointed out.