Probability and statistics gv kumbhojkar9/22/2023 ![]() ![]() 1.2 Sequence and Function Spaces.ġ.4 Bases of Sequence and Function Spaces.ġ.5 Metric Spaces and Completion.ģ Spectral Methods and Applications.ģ.1 Singular Value Decomposition and Principal Component Analysis.ģ.2 Matrix Norms and Low-Rank Matrix Approximation.ģ.4 Data Dimensionality Reduction.Ĥ.1 Discrete Fourier Transform.Ĥ.2 Discrete Cosine Transform.Ĥ.4 Fast Discrete Cosine Transform.ĥ.3 Lapped Transform and Compression Schemes.ĥ.4 Image and Video Compression.Ħ.2 Fourier Series in Cosines and Sines.Ħ.4 Convergence of Fourier Series.Ħ.5 Method of Separation of Variables.ħ Fourier Time-Frequency Methods.ħ.2 Inverse Fourier Transform and Sampling Theorem.ħ.3 Isotropic Diffusion PDE.ħ.4 Time-Frequency Localization.ħ.6 Appendix on Integration Theory.Ĩ Wavelet Transform and Filter Banks.Ĩ.2 Multiresolution Approximation and Analysis.Ĩ.3 Discrete Wavelet Transform.Ĩ.4 Perfect-Reconstruction Filter Banks.ĩ Compactly Supported Wavelets.ĩ.3 Compactly Supported Orthogonal Wavelets.ĩ.4 Compactly Supported Biorthogonal Wavelets.ġ0.1 Existence of Refinable Functions in.ġ0.2 Stability and Orthogonality of Refinable Functions.ġ0.4 Smoothness of Compactly Supported Wavelets. ![]()
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