Adding a new wavelet Algorithm Coifman-Wickerhauser Coifman-Wickerhauser Decomposition Discrete Wavelet Transform (DWT) Fast Wavelet Transform (FWT) Filters For biorthogonal Mallat Mallat Rationale Reconstruction Stationary Wavelet Transform (SWT) Analysis Biorthogonal Biorthogonal Case study Continuous Continuous complex Continuous or discrete Continuous real Discrete Illustrated examples Local Local and global Multiscale Multiscale One-dimensional discrete wavelet One-dimensional wavelet packet Orthogonal Orthogonal Orthogonal Orthogonal Redundant Time-scale Time-scale Time-scale Translation invariant Two-dimensional discrete wavelet Two-dimensional wavelet packet Wavelet Wavelet Wavelet Packet See also Transform Approximation Coefficients Coefficients Coefficients Definition Definition Reconstruction Axes View Basis Binning Binning Binning Binning Biorthogonal wavelets Biorthogonal wavelets See also Analysis Border distortion Boundary value replication Periodic extension Periodized Wavelet Transform Smooth padding Smooth padding Smooth padding Symmetric extension Symmetric extension Symmetrization Zero-padding Zero-padding Zero-padding Breakdown Breakdown Frequency Variance Chirp Chirp Chirp Coefficients Approximation Approximation Approximation Coloration Complex Continuous Wavelet Continuous Wavelet Detail Detail Detail Discrete Wavelet Discrete Wavelet Line Load See Importing to the GUI Save See Exporting from the GUI Coiflets Coiflets Coloration mode Coloration mode Color coding Controlling the colormap Complex frequency B-Spline wavelets Complex Gaussian wavelets Complex Morlet wavelets Complex Shannon wavelets Compression Compression Compression Compression Default values Default values Default values Difference with de-noising Energy ratio Methods Norm recovery Number of zeros Procedure Procedure Retained energy Continuous Wavelet Transform See Analysis, Transform CWT See Transform Daubechies wavelets Daubechies wavelets Decimation See Downsampling Decomposition Decomposition Decomposition Decomposition Decomposition Best-level Entropy-based criteria Hierarchical organization Load See Importing to the GUI Multi-step Optical comparison Optimal Save See Exporting from the GUI Structure Structure Structure De-noising De-noising Basic model Basic model Default values Default values Default values Fixed form threshold Image Image Image Methods Minimax performance Noise size estimate Non-white noise Procedure Procedure SURE estimate Using SWT Using SWT Using SWT Using SWT Using SWT Variance adaptive White noise Density estimation Density estimation Detail Coefficients Coefficients Coefficients Decomposition Definition Definition Orientation Reconstruction Dilation Dilation Discontinuity Discontinuity See also Breakdown Discrete Meyer wavelet Discrete Wavelet Transform See Analysis, Transform Display mode 2-D Square Tree Downsampling Downsampling DWT See Transform Edge effects See Border distortion Entropy Entropy Estimation Default values See Function estimation Exporting from the GUI Complex Continuous Wavelet Continuous Wavelet Discrete Stationary Wavelet 1-D Discrete Stationary Wavelet 2-D Discrete Wavelet 1-D Discrete Wavelet 2-D Image extension Signal extension Variance adaptive thresholding Wavelet Density Estimation 1-D Wavelet Packets Wavelet Regression Estimation 1-D Extension mode See Border distortion Fast multiplication of large matrices Fast Wavelet Transform (FWT) See Transform Filter Banks Decomposition FIR FIR FIR FIR FIR FIR High-pass Low-pass Minimum phase Quadrature mirror Quadrature mirror Quadrature mirror Reconstruction Reconstruction Scaling See also Twin-scale relation Fingerprint Fixed design See Regression estimation Fourier Fourier Fourier Analysis Analysis Analysis Analysis Short-time analysis (STFT) Windowed analysis Fractal Fractal Frequency Parameter Related to scale See also Fourier Frequency B-Spline wavelets Full decomposition mode Function estimation FWT See Transform Gaussian wavelets GUI GUI GUI Complex Continuous Wavelet Continuous Wavelet Density estimation Full window resolution Image de-noising using SWT Image extension / truncation Local variance adaptive thresholding Regression estimation Signal de-noising using SWT Signal extension / truncation Using menus Using the mouse Wavelet coefficients selection 1-D Wavelet coefficients selection 2-D Wavelet Display Wavelet one-dimensional Wavelet Packet Wavelet Packet Display Wavelet two-dimensional Haar wavelet Haar wavelet Heisenberg uncertainty principle History IDWT See Transform Image Importing to the GUI Complex Continuous Wavelet Continuous Wavelet Discrete Stationary Wavelet 1-D Discrete Stationary Wavelet 2-D Discrete Wavelet 1-D Discrete Wavelet 2-D Variance adaptive thresholding Wavelet Density Estimation 1-D Wavelet Packets Wavelet Regression Estimation 1-D Indexed image matrix indices, shifting ISWT See Transform Level Level Level Level Level Level Level See also Multilevel, Wavelet Packet Best level Load See Importing in the GUI Local See Analysis Local Maxima Lines Local Maxima Lines Long-term evolution Long-term evolution Long-term evolution Long-term evolution Long-term evolution Long-term evolution Long-term evolution Mathematical conventions Merge See Wavelet Packet Mexican hat Mexican hat Meyer wavelet Meyer wavelet Minimax Missing data More display options More display options Morlet wavelet Morlet wavelet Multilevel Multilevel Multilevel Multilevel Multiresolution Multiresolution Multistep Node Action Label Noise Noise ARMA Colored Gaussian Gaussian Processing Processing Processing Processing Processing Processing Processing Suppressing See also De-noising Unscaled White White White White White Objects Outliers Packet See Wavelet Packet Padding See Border distortion See Border distortion See Border distortion See Border distortion Periodized Wavelet Transform See Border distortion See Border distortion See Border distortion See Border distortion Positions Quadrature mirror filters (QMF) Quadrature mirror filters (QMF) Quadrature mirror filters (QMF) Random design See Regression estimation Reconstruction Approximation Detail Filters Multi-step Redundancy Regression estimation Regression estimation Regularity Regularity Definition Resemblance index Residuals display Residuals display Residuals display Residuals display Residuals display Reverse Biorthogonal wavelets RGB images Converting from Save See Exporting from the GUI Scale Scale And frequency Choosing Choosing Dyadic Dyadic Dyadic To frequency To frequency To frequency Scale mode Scaling filter Scaling function Scaling function Scaling function Self-similarity Self-similarity Separate mode Shannon wavelets Shift See also Translation Show and scroll mode Show and scroll mode (stem coefs) Shrink See Thresholding Signal-end effects See Border distortion Spline Spline Split See Wavelet Packet Square mode Stationary Wavelet Transform See Transform STFT See Fourier Superimpose mode Support See Wavelet Families SWT See Transform Symlets Symlets Symmetry See Wavelet Families Synthesis Synthesis Thresholding Hard Interval dependent Rules Soft See also De-noising, Compression Time-scale See Analysis Transform Continuous versus discrete Continuous Wavelet (CWT) Continuous Wavelet (CWT) Discrete Wavelet (DWT) Discrete Wavelet (DWT) Fast Wavelet (FWT) Inverse (IDWT) Inverse (IDWT) Inverse (IDWT) Inverse (IDWT) Inverse Stationary Wavelet (ISWT) Stationary Wavelet (SWT) Translation invariant Transient See also Breakdown Translation Dyadic Invariance See also Shift Tree Best Best-level Decomposition Mode Mode Mode Objects Wavelet Wavelet Wavelet Wavelet Packet Wavelet Packet Wavelet Packet Wavelet Packet Tree mode Tree mode Tree mode Trend See Long-term evolution Twin-scale relation Twin-scale relation Twin-scale relation Twin-scale relation Upsampling Upsampling Upsampling Vanishing moments Vanishing moments Vanishing moments Vanishing moments Variance adaptive thresholding View Axes Wavelet Wavelet Wavelet Add new Applications Associated family Associated family Battle-Lemarie Biorthogonal Biorthogonal Candidate to be a Coefficients Coiflets Coiflets Complex frequency B-Spline Complex Gaussian Complex Morlet Complex Shannon Daubechies Daubechies Discrete Meyer Gaussian Haar Haar History of Mexican hat Mexican hat Meyer Meyer Morlet Morlet One-dimensional capabilities One-dimensional capabilities Order Organization Relationship of filters to Reverse Biorthogonal Shapes Symlets Symlets Translation Translation See also Shift Tree Tree Tree Tree Tree Tree Two-dimensional Two-dimensional capabilities Two-dimensional capabilities Type Vanishing moments Vanishing moments Vanishing moments Vanishing moments Vanishing moments Wavelet Families Wavelet Families Wavelet Families Wavelet Families Wavelet Families Add new Full name Properties Properties Regularity Regularity Short name Support Symmetry Vanishing moments Vanishing moments Vanishing moments Vanishing moments Wavelet Packet Wavelet Packet Wavelet Packet Atoms Best level Best level Best level Best tree Best tree Best tree Best tree Building Compression Compression Decomposition Decomposition De-noising Frequency order From wavelets to Merge Natural order Objects Organization Split Tree Tree Tree Tree Zoom Zoom Zoom Zoom