Newly compiled Management Science

Author: Mo Huan
Publisher:
Publish Date: 2005-02-01
Features:
Chapter 1 Continuous Wavelet Transform
1.1 Overview
1.1.1 Fourier Transform
1.1.2 Short-Time Fourier Transform
1.2 Continuous Wavelet Transform
1.2.1 Definition
1.2.2 Computation of Continuous Wavelet Transform
1.3 Continuous Wavelet Basis Functions
1.3.1 Several Basis Functions
1.3.2 Selection of Continuous Wavelet Basis Functions
1.4 Properties of Continuous Wavelet Transform
1.5 Frequency Discretization and Reconstruction of Original Signal—Binary Wavelets
1.6 Time-Frequency Discretization and Reconstruction of Original Signal—Frames
1.7 Wavelet Series
Chapter 2 Multiresolution Analysis and Wavelet Construction
2.1 Intuitive Description of Multiresolution Analysis
2.2 Multiresolution Analysis and Dual-Scaling Equation
2.3 Signal Decomposition and Reconstruction—Mallat Algorithm
2.4 Wavelet Packet Analysis
2.5 Calculation of Scaling Function
2.5.1 Iterative Algorithm
2.5.2 Matrix Equation Method
2.5.3 Fourier Transform Method
2.6 Daubechies Orthogonal Compactly Supported Wavelets
2.7 Rationalized Coefficient Compactly Supported Orthogonal Wavelets
2.8 Dual-Orthogonal Multiresolution Analysis
2.9 Symmetric Compactly Supported Wavelet Construction Based on Cohen-Daubechies-Feauveau Method
2.10 Rationalized Design of Dual-Orthogonal Wavelet Coefficients and Perfect Reconstruction Filters
2.10.1 9-7 Wavelets (Filter Lengths Are 9 and 7)
2.10.2 9-11 Wavelets
2.10.3 6-10 Wavelet Design (Even Length)
2.10.4 Construction of 4-4 Dual-Orthogonal Wavelets
Chapter 3 Multirate Filter Banks and M-Band Wavelet Design
3.1 Overview
3.2 Quadrature Mirror Filter (QMF) Banks
3.2.1 Multirate Signal Processing (Multiratesignalprocessing) Basics
3.2.2 Two-Channel Orthogonal Mirror Filter (QMF)
3.2.3 Two-Channel Conjugate Orthogonal Filter (CQF)
3.3 Design of M-Band PRQMF Banks
3.3.1 Construction of PR Filter Banks Based on Cosine Modulation
3.3.2 Design of Filter Banks Based on Lattice Decomposition Using Multiphase Matrices
3.4 Block Transform and Overlapped Transform Based on Triangular Basis Functions
3.5 PR Filter Banks and Multiband Wavelets
3.5.1 Construction of M-Band Orthogonal Wavelets
3.5.2 Construction of M-Band Dual-Orthogonal Symmetric Wavelets
3.5.3 Construction of Multiband Wavelets Based on Cosine Modulation
Chapter 4 Discrete Transforms and Integer Implementation Algorithms for Wavelets
4.1 Overview
4.2 Integer Implementation Algorithms Based on Lifting Decomposition