# Wavelet Analysis

## Documentation for package ‘rwavelet’ version 0.4.1

- DESCRIPTION file.
- User guides, package vignettes and other documentation.

## Help Pages

aconv | Convolution tool for two-scale transform
BlockThresh | 1d wavelet Block Thresholding
block_partition | Construct 1d block partition
block_partition2d | Construct 2d block partition
CircularShift | Circular Shifting of a matrix/image
cubelength | Find length and dyadic length of square array
CVlinear | 2-Fold Cross Validation for linear estimator
DownDyadHi | Hi-Pass Downsampling operator (periodized)
DownDyadLo | Lo-Pass Downsampling operator (periodized)
dyad | Index entire j-th dyad of 1-d wavelet xform
dyadlength | Find length and dyadic length of array
FTWT2_PO | 2-d tensor wavelet transform (periodized, orthogonal).
FWT2_PO | 2-d MRA Forwad Wavelet Transform (periodized, orthogonal)
FWT2_TI | 2-d Translation Invariant Forward Wavelet Transform
FWT3_PO | 3-d MRA Forward Wavelet Transform (periodized, orthogonal)
FWT_PO | Forward Wavelet Transform (periodized, orthogonal)
FWT_TI | Translation Invariant Forward Wavelet Transform
GWN | Generation of Gaussian White Noise
HardThresh | Apply Hard Threshold
iconvv | Convolution tool for two-scale transform
invblock_partition | Inversion of the 1d block partition
invblock_partition2d | Inversion of the 2d block partition
ITWT2_PO | Inverse 2-d Tensor Wavelet Transform (periodized, orthogonal)
IWT2_PO | Inverse 2-d MRA Wavelet Transform (periodized, orthogonal)
IWT2_TI | Invert 2-d Translation Invariant Wavelet Transform
IWT3_PO | Inverse 3-d MRA Wavelet Transform (periodized, orthogonal)
IWT_PO | Inverse Wavelet Transform (periodized, orthogonal)
IWT_TI | Invert Translation Invariant Wavelet Transform
JSThresh | Apply James-Stein Threshold
lshift | Circular left shift of 1-d signal
MAD | Median Absolute Deviation
MakeONFilter | Generate Orthonormal QMF Filter for Wavelet Transform
MakeSignal | Make artificial signal
MakeSignalNewb | Make artificial 1-d signal
MinMaxThresh | Minimax Thresholding
MirrorFilt | Apply (-1)^t modulation
MultiMAD | Apply Shrinkage with level-dependent Noise level estimation
MultiSURE | Apply Shrinkage to Wavelet Coefficients
MultiVisu | Apply Universal Thresholding to Wavelet Coefficients
packet | Packet table indexing
PlotSpikes | Plot 1-d signal as baseline with series of spikes
PlotWaveCoeff | Spike-plot display of wavelet coefficients
quadlength | Find length and dyadic length of square matrix
RaphNMR | Nuclear magnetic resonance (NMR) signal
repmat | Replicate and tile an array
rshift | Circular right shift of 1-d signal
ShapeAsRow | Make signal a row vector
SLphantom | 3-d Shepp-Logan phantom
SNR | Signal/Noise ratio
SoftThresh | Apply Soft Threshold
SUREThresh | Adaptive Threshold Selection Using Principle of SURE
UpDyadHi | Hi-Pass Upsampling operator; periodized
UpDyadLo | Lo-Pass Upsampling operator; periodized
UpSampleN | Upsampling operator
ValSUREThresh | Adaptive Threshold Selection Using Principle of SURE
VisuThresh | Visually calibrated Adaptive Smoothing