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文件名称：Wavelets and Filter Banks_MIT
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文件格式：RAR
更新时间：2017-12-30 05:07:27
Wavelets and Filter Banks
Wavelets and Filter Banks_MIT
Lecture 1
Discrete-time Filters: Convolution
Fourier Transform
Lowpass and Highpass Filters
Lecture 2
Sampling Rate Change Operations: Upsampling and Downsampling
Fractional Sampling
Interpolation
Lecture 3
Filter Banks: Time Domain (Haar example) and Frequency Domain
Conditions for Alias Cancellation and no Distortion
Lecture 4
Filter Banks (contd.): Perfect Reconstruction
Halfband Filters and Possible Factorizations
Lecture 5
Modulation and Polyphase Representations: Noble Identities
Block Toeplitz Matrices and Block z-transforms
Polyphase Examples
Lecture 6
MATLAB® Wavelet Toolbox
Lecture 7
Orthogonal Filter Banks: Paraunitary Matrices
Orthogonality Condition (Condition O) in the Time Domain, Modulation Domain and Polyphase Domain
Lecture 8
Maxflat Filters: Daubechies and Meyer Formulas
Spectral Factorization
Lecture 9
Multiresolution Analysis (MRA): Requirements for MRA
Nested Spaces and Complementary Spaces
Scaling Functions and Wavelets
Lecture 10
Refinement Equation: Iterative and Recursive Solution Techniques
Infinite Product Formula
Filter Bank Approach for Computing Scaling Functions and Wavelets
Lecture 11
Orthogonal Wavelet Bases: Connection to Orthogonal Filters
Orthogonality in the Frequency Domain
Biorthogonal Wavelet Bases
Lecture 12
Mallat Pyramid Algorithm Sec
Lecture 13
Accuracy of Wavelet Approximations (Condition A)
Vanishing Moments
Polynomial Cancellation in Filter Banks
Lecture 14
Smoothness of Wavelet Bases: Convergence of the Cascade Algorithm (Condition E)
Splines
Bases vs. Frames
Lecture 15
Signal and Image Processing: Finite Length Signals
Boundary Filters and Boundary Wavelets
Wavelet Compression Algorithms
Lecture 16
Lifting: Ladder Structure for Filter Banks
Factorization of Polyphase Matrix into Lifting Steps
Lifting Form of Refinement Equation Sec
Lecture 17
Wavelets and Subdivision: Nonuniform Grids
Multiresolution for Triangular Meshes
Representation and Compression of Surfaces
Lecture 18
Wavelets and Subdivision (contd.): Nonuniform Grids; Multiresolution for Triangular Meshes
Representation and Compression of Surfaces
Lecture 19
Numerical Solution of PDEs: Galerkin Approximation
Wavelet Integrals (Projection Coefficients, Moments and Connection Coefficients)
Convergence
Subdivision Wavelets for Integral Equations
Compression and Convergence Estimates
Lecture 20
M-band Wavelets: DFT Filter Banks and Cosine Modulated Filter Banks. Multiwavelets
【文件预览】：
Wavelets and Filter Banks_MIT
----Handout13.pdf(60KB)
----Handout4.pdf(330KB)
----Handout9.pdf(163KB)
----Handout15.pdf(44KB)
----Handout3.pdf(236KB)
----Handout18.pdf(498KB)
----Handout11.pdf(274KB)
----Handout16.pdf(99KB)
----Handout8.pdf(79KB)
----Handout7.pdf(130KB)
----syllabus.docx(19KB)
----Handout17.pdf(229KB)
----Handout5.pdf(144KB)
----Handout20.pdf(73KB)
----Handout10.pdf(305KB)
----Handout12.pdf(41KB)
----Handout1.pdf(135KB)
----Handout2.pdf(133KB)
----Handout14.pdf(64KB)
----Handout19.pdf(132KB)
----contents of Wavelets and Filter Banks.docx(17KB)
----Handout6.pdf(302KB)