本书全面系统介绍了小波分析的基本理论和最新研究成果，重点介绍小波分析的应用成果，并通过软件实现来检验应用效果。全书分为三篇：第一篇是小波理论，包含8章内容，小波分析的发展历史及文献综述、准备知识、多分辨分析与共轭滤波器、连续小波变换、最佳小波基的构造及算法、二维母小波的构造、框架与样条小波理论、时间----频率分析；第二篇是小波应用，包含12章内容，详细介绍了小波分析在图象压缩、流体力学、工业CT、故障诊断、语音分割、数学物理、地球物理勘探、医学细胞识别、线性系统、神经网络等方面的应用；第三篇是小波软件，将第一篇和第二篇的重要算法用C语言实现，且全部在微机上调试通过，读者可直接应用或稍加修改即见成效。-This book systematically introduces the basic theory of wavelet analysis and the latest research results, focusing on the application of wavelet analysis results and applications through the software to test results. The book is divided into three: first is the wavelet theory, contains 8 chapters, the history of development of wavelet analysis and literature review, preparation of knowledge, multi-resolution analysis of the conjugate filter, continuous wavelet transform, the best wavelet algorithm for the construction and two-dimensional structure of the mother wavelet, fr a me and spline wavelet theory, time frequency analysis----　second is the wavelet applications, contains 12 chapters, detailing the wavelet analysis in image compression, fluid mechanics, industrial CT , fault diagnosis, speech segmentation, mathematical physics, geophysical exploration, medical cell recognition, linear systems, neural networks and other applications　third is the wavelet software, the importance of t