中文说明:
2.1 傅里叶变换
2.1.1 经典傅里叶变换
2.1.2 傅里叶变换的基本性质
2.1.3 快速傅里叶变换
2.1.4 短时傅里叶变换
2.2 小波分析与多分辨率分析的历史
2.3 小波分析与傅里叶变换的对比
2.4 小波变换
2.4.1 连续小波变换
2.4.2 离散小波变换
2.4.3 高维小波连续变换
2.5 常用小波基函数
2.5.1 小波函数
2.5.2 小波函数系
2.5.3 复数小波
2.6 构造紧支撑正常小波基
2.7 多分辨率分析与小波构造
2.8 分析小波包
2.8.1 小波包的定义及性质
2.8.2 分解小波包的空间
2.8.3 小波包算法
English Description:
2.1 Fourier Transform
2.1.1 Classical Fourier Transform
2.1.2 Basic Properties of Fourier Transform
2.1.3 Fast Fourier Transform
2.1.4 Short Time Fourier Transform
2.2 History of Wavelet Analysis and Multiresolution Analysis
2.3 Comparison between Wavelet Analysis and Fourier Transform
2.4 Wavelet Transform
2.4.1 Continuous Wavelet Transform
2.4.2 Discrete Wavelet Transform
2.4.3 High Dimensional Wavelet Continuous Transform
2.5 Commonly Used Wavelet Basis Functions
2.5.1 Wavelet Functions
2.5.2 Wavelet Function System
2.5.3 Complex Wavelets
2.6 Construction of Tightly Supported Normal Wavelet Bases
2.7 Multiresolution Analysis and Wavelet Construction
2.8 Analysis of Wavelet Packets
2.8.1 Definition and Properties of Wavelet Packets
2.8.2 Space for Decomposing Wavelet Packets
2.8.3 Wavelet Packet Algorithm