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rwavelet (version 0.4.1)

Wavelet Analysis

Description

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 ().

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Install

install.packages('rwavelet')

Monthly Downloads

198

Version

0.4.1

License

LGPL (>= 2)

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Repository

https://github.com/fabnavarro/rwavelet

Maintainer

Navarro Fabien

Last Published

December 12th, 2020

Functions in rwavelet (0.4.1)

2-Fold Cross Validation for linear estimator

2-d MRA Forwad Wavelet Transform (periodized, orthogonal)

1d wavelet Block Thresholding

2-d tensor wavelet transform (periodized, orthogonal).

Apply Hard Threshold

Make artificial signal

Make artificial 1-d signal

Inverse 2-d Tensor Wavelet Transform (periodized, orthogonal)

Apply James-Stein Threshold

3-d Shepp-Logan phantom

Invert Translation Invariant Wavelet Transform

Upsampling operator

invblock_partition2d

Inversion of the 2d block partition

Plot 1-d signal as baseline with series of spikes

Circular left shift of 1-d signal

Apply Universal Thresholding to Wavelet Coefficients

Lo-Pass Upsampling operator; periodized

Inverse 3-d MRA Wavelet Transform (periodized, orthogonal)

Signal/Noise ratio

block_partition

Construct 1d block partition

Convolution tool for two-scale transform

2-d Translation Invariant Forward Wavelet Transform

Inverse Wavelet Transform (periodized, orthogonal)

Adaptive Threshold Selection Using Principle of SURE

Generation of Gaussian White Noise

Translation Invariant Forward Wavelet Transform

Make signal a row vector

invblock_partition

Inversion of the 1d block partition

Apply (-1)^t modulation

Minimax Thresholding

Convolution tool for two-scale transform

Inverse 2-d MRA Wavelet Transform (periodized, orthogonal)

Packet table indexing

Invert 2-d Translation Invariant Wavelet Transform

Find length and dyadic length of array

Index entire j-th dyad of 1-d wavelet xform

Find length and dyadic length of square matrix

Circular right shift of 1-d signal

Replicate and tile an array

Median Absolute Deviation

Generate Orthonormal QMF Filter for Wavelet Transform

Apply Shrinkage with level-dependent Noise level estimation

block_partition2d

Construct 2d block partition

Find length and dyadic length of square array

Nuclear magnetic resonance (NMR) signal

Spike-plot display of wavelet coefficients

Apply Soft Threshold

Hi-Pass Upsampling operator; periodized

Apply Shrinkage to Wavelet Coefficients

Adaptive Threshold Selection Using Principle of SURE

Visually calibrated Adaptive Smoothing

Lo-Pass Downsampling operator (periodized)

3-d MRA Forward Wavelet Transform (periodized, orthogonal)

Forward Wavelet Transform (periodized, orthogonal)

Hi-Pass Downsampling operator (periodized)

Circular Shifting of a matrix/image