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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, frame 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
Date : 2026-01-01 Size : 13.05mb User :

小波分析诞生于20世纪80年代, 被认为是调和分析即现代Fourier分析发展的一个崭新阶段。众多高新技术以数学为基础,而小波分析被誉为“数学显微镜”,这就决定了它在高科技研究领域重要的地位。目前, 它在模式识别、图像处理、语音处理、故障诊断、地球物理勘探、分形理论、空气动力学与流体力学上的应用都得到了广泛深入的研究,甚至在金融、证券、股票等社会科学方面都有小波分析的应用研究-Wavelet analysis was born in the 1980s, is considered the modern harmonic analysis and Fourier analysis is the development of a new phase. Mathematical basis of many high-tech, and wavelet analysis as the " mathematical microscope" , which determines its high-tech research in an important position. Currently, it is pattern recognition, image processing, speech processing, fault diagnosis, geophysical exploration, fractal theory, aerodynamics and fluid mechanics have been applied on extensive research, even in the financial, securities, stocks and other social sciences aspects of the application of wavelet analysis
Date : 2026-01-01 Size : 49.12mb User : zhouxiaolin
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