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Wavelets and Filter Banks_MIT
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上传时间: 2014-12-10
详细说明： 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 Toeplit z 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 ...展开收缩
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