小波导论(英文影印版)
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- 作者： (美)崔锦泰(Charles K.Chui)
- 丛书名： 图灵原版数学.统计学系列
- 出版社：人民邮电出版社
- ISBN：9787115195579
- 上架时间：2009-2-26
- 出版日期：2009 年2月
- 开本：16开
- 页码：266
- 版次：1-1
- 所属分类：
数学 > 分析 > 傅里叶分析与小波分析
教材 > 教材汇编分册 > 高等理工
教材 > 研究生/本科/专科教材 > 理学 > 数学
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1. an overview . 1
1.1 from fourier analysm to wavelet analysm 1
1.2 the integral wavelet transform and time-frequency analysis 6
1.3 inversion formulas and duals 9
1.4 classification of wavelets 13
1.5 multiresolution analysis, splines, and wavelets 16
1.6 wavelet decompositions and reconstructions 18
2. fourier analysis 23
2.1 fourier and inverse fourier transforms 23
2.2 continuous-time convolution and the delta function 27
2.3 fourier transform of square-integrable functions 32
2.4 fourier series 36
2.5 basic convergence theory and poisson's summation formula 43
3. wavelet transforms and time-frequency analysis 49
3.1 the gabor transform 50
3.2 short-time fourier transforms and the uncertainty principle 54
3.3 the integral wavelet transform 60
3.4 dyadic wavelets and inversions 64
3.5 frames 68
3.6 wavelet series 74
1.1 from fourier analysm to wavelet analysm 1
1.2 the integral wavelet transform and time-frequency analysis 6
1.3 inversion formulas and duals 9
1.4 classification of wavelets 13
1.5 multiresolution analysis, splines, and wavelets 16
1.6 wavelet decompositions and reconstructions 18
2. fourier analysis 23
2.1 fourier and inverse fourier transforms 23
2.2 continuous-time convolution and the delta function 27
2.3 fourier transform of square-integrable functions 32
2.4 fourier series 36
2.5 basic convergence theory and poisson's summation formula 43
3. wavelet transforms and time-frequency analysis 49
3.1 the gabor transform 50
3.2 short-time fourier transforms and the uncertainty principle 54
3.3 the integral wavelet transform 60
3.4 dyadic wavelets and inversions 64
3.5 frames 68
3.6 wavelet series 74
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