Wavelet Analysis
Convolution tool for two-scale transform
Construct 1d block partition
Construct 2d block partition
1d wavelet Block Thresholding
Circular Shifting of a matrix/image
Find length and dyadic length of square array
2-Fold Cross Validation for linear estimator
Hi-Pass Downsampling operator (periodized)
Lo-Pass Downsampling operator (periodized)
Index entire j-th dyad of 1-d wavelet xform
Find length and dyadic length of array
2-d tensor wavelet transform (periodized, orthogonal).
Forward Wavelet Transform (periodized, orthogonal)
Translation Invariant Forward Wavelet Transform
2-d MRA Forwad Wavelet Transform (periodized, orthogonal)
2-d Translation Invariant Forward Wavelet Transform
3-d MRA Forward Wavelet Transform (periodized, orthogonal)
Generation of Gaussian White Noise
Apply Hard Threshold
Convolution tool for two-scale transform
Inversion of the 1d block partition
Inversion of the 2d block partition
Inverse 2-d Tensor Wavelet Transform (periodized, orthogonal)
Inverse Wavelet Transform (periodized, orthogonal)
Invert Translation Invariant Wavelet Transform
Inverse 2-d MRA Wavelet Transform (periodized, orthogonal)
Invert 2-d Translation Invariant Wavelet Transform
Inverse 3-d MRA Wavelet Transform (periodized, orthogonal)
Apply James-Stein Threshold
Circular left shift of 1-d signal
Median Absolute Deviation
Generate Orthonormal QMF Filter for Wavelet Transform
Make artificial signal
Make artificial 1-d signal
Minimax Thresholding
Apply (-1)^t modulation
Apply Shrinkage with level-dependent Noise level estimation
Apply Shrinkage to Wavelet Coefficients
Apply Universal Thresholding to Wavelet Coefficients
Packet table indexing
Plot 1-d signal as baseline with series of spikes
Spike-plot display of wavelet coefficients
Find length and dyadic length of square matrix
Replicate and tile an array
Circular right shift of 1-d signal
Make signal a row vector
Signal/Noise ratio
Apply Soft Threshold
Adaptive Threshold Selection Using Principle of SURE
Hi-Pass Upsampling operator; periodized
Lo-Pass Upsampling operator; periodized
Upsampling operator
Adaptive Threshold Selection Using Principle of SURE
Visually calibrated Adaptive Smoothing
Perform wavelet analysis (orthogonal,translation invariant, tensorial, 1-2-3d transforms, thresholding, block thresholding, linear,...) with applications to data compression or denoising/regression. The core of the code is a port of 'MATLAB' Wavelab toolbox written by D. Donoho, A. Maleki and M. Shahram (<https://statweb.stanford.edu/~wavelab/>).