# Wavelets Statistics and Transforms

## Documentation for package ‘wavethresh’ version 4.6.9

- DESCRIPTION file.

## Help Pages

A B C D E F G H I L M N P R S T U W

wavthresh-package | Wavelet transforms and associated statistical methodology.

## -- A --

accessC | Get "detail" (mother wavelet) coefficients data from wavelet object
accessc | Get variance information from irregularly spaced wavelet decomposition object.
accessC.mwd | Get Smoothed Data from Wavelet Structure
accessC.wd | Get smoothed data from wavelet object (wd)
accessC.wp | Warning function when trying to access smooths from wavelet packet object (wp).
accessC.wst | Get smoothed data from packet ordered non-decimated wavelet object (wst)
accessD | Get "detail" (mother wavelet) coefficients data from wavelet object
accessD.mwd | Get wavelet coefficients from multiple wavelet structure (mwd).
accessD.wd | Get detail (mother wavelet) coefficients from wavelet object (wd).
accessD.wd3D | Get wavelet coefficients from 3D wavelet object
accessD.wp | Obtain whole resolution level of wavelet packet coefficients from a wavelet packet object (wp).
accessD.wpst | Get coefficients from a non-decimated wavelet packet object (wpst) in time order.
accessD.wst | Get mother wavelet coefficients from a packet ordered non-decimated wavelet object (wst).
addpkt | Add a wavelet packet box to an already set up time-frequency plot
AutoBasis | Run Coifman-Wickerhauser best basis algorithm on wavelet packet object
av.basis | Perform basis averaging for wst class object
AvBasis | Basis averaging ("inversion")
AvBasis.wst | Perform basis averaging for (packet-ordered) non-decimated wavelet transform.
AvBasis.wst2D | Perform basis averaging for (packet-ordered) 2D non-decimated wavelet transform.

## -- B --

BabyECG | Physiological data time series.
BabySS | Physiological data time series.
basisplot | Generic basis plot function
basisplot.BP | Plot time-frequency plane and basis slots associated with basis object
basisplot.wp | Function to graphically select a wavelet packet basis
BAYES.THR | Bayesian wavelet thresholding.
Best1DCols | Extract the best (one-dimensional) nondecimated WP packets
bestm | Function called by makewpstRO to identify which packets are individually good for correlating with a response
BMdiscr | Subsidiary routine for makewpstDO function

## -- C --

c2to4 | Take integer, represent in binary, then think of and return that representation in base 4
CanUseMoreThanOneColor | Deprecated function
checkmyews | Check a LSW spectrum through repeated simulation and empirical averages
Chires5 | Subsid routine for denproj (calcs scaling function coefs without cov)
Chires6 | Subsid routine for denproj (calcs scaling function coefs with cov)
cns | Create new zeroed spectrum.
compare.filters | Compares two filters.
compgrot | Compute empirical shift for time ordered non-decimated transforms.
compress | Compress objects
compress.default | Do "zero" run-length encoding compression of a vector of numbers.
compress.imwd | Compress a (thresholded) imwd class object by removing zeroes.
conbar | Performs inverse DWT reconstruction step
convert | Convert one type of wavelet object into another.
convert.wd | Convert a non-decimated wd object into a wst object.
convert.wst | Convert a non-decimated wst object into a wd object.
ConvertMessage | Print out a text message about an object which is from old version of WaveThresh
Crsswav | Wrapper to C code version of rsswav
cthresh | Estimate real signal using complex-valued wavelets
Cthreshold | Calls C code to threshold wd class object.
CWavDE | Simple wavelet density estimator with hard thresholding
CWCV | C Wavelet Cross-validation

## -- D --

dclaw | Claw distribution
dencvwd | Calculate variances of wavlet coefficients of a p.d.f.
denplot | Calculate plotting information for a density estimate.
denproj | Calculate empirical scaling function coefficients of a p.d.f.
denwd | Wavelet decomposition of empirical scaling function coefficients of a p.d.f.
denwr | Wavelet reconstruction for density estimation.
DJ.EX | Produce Donoho and Johnstone test functions
dof | Compute number of non-zero coefficients in wd object
doppler | Evaluate the Donoho and Johnstone Doppler signal.
draw | Draw wavelets or scaling functions.
draw.default | Draw picture of a wavelet or scaling function.
draw.imwd | Draw mother wavelet associated with an imwd object.
draw.imwdc | Draw mother wavelet associated with an imwdc object.
draw.mwd | Draws a wavelet or scaling function used to compute an 'mwd' object
draw.wd | Draw mother wavelet or scaling function associated with wd object.
draw.wp | Draw wavelet packet associated with a wp object.
draw.wst | Draw mother wavelet or scaling function associated with wst object.
drawbox | Draw a shaded coloured box
drawwp.default | Subsidiary routine that actually computes wavelet packet values

## -- E --

ewspec | Compute evolutionary wavelet spectrum estimate.
example.1 | Compute and return piecewise polynomial coordinates.

## -- F --

filter.select | Provide wavelet filter coefficients.
find.parameters | Find estimates of prior parameters
first.last | Build a first/last database for wavelet transforms.
first.last.dh | Build special first/last database for some wavelet density functions
firstdot | Return the location of the first period character within a character string (for a vector of strings of arbitrary length).
FullWaveletCV | Perform whole wavelet cross-validation in C code

## -- G --

GenW | Generate (inverse) discrete wavelet transform matrix.
getarrvec | Compute and return weaving permutation for conversion from wst objects to wd class objects.
getpacket | Get a packet of coefficients from a wavelet object
getpacket.wp | Get packet of coefficients from a wavelet packet object (wp).
getpacket.wpst | Get packet of coefficients from a non-decimated wavelet packet object (wpst).
getpacket.wst | Get packet of coefficients from a packet ordered non-decimated wavelet object (wst).
getpacket.wst2D | Get packet of coefficients from a two-dimensional non-decimated wavelet object (wst2D).
GetRSSWST | Computes estimate of error for function estimate.
griddata objects | Data interpolated to a grid objects.
guyrot | Cyclically rotate elements of a vector

## -- H --

HaarConcat | Generate a concatenated Haar MA process
HaarMA | Generate Haar MA processes.

## -- I --

image.wd | Produce image representation of nondecimated wavelet transform
image.wst | Produce image representation of a wst class object
imwd | Two-dimensional wavelet transform (decomposition).
imwd.object | Two-dimensional wavelet decomposition objects.
imwdc.object | Two-dimensional compressed wavelet decomposition objects.
imwr | Inverse two-dimensional wavelet transform.
imwr.imwd | Inverse two-dimensional discrete wavelet transform.
imwr.imwdc | Inverse two-dimensional discrete wavelet transform.
InvBasis | Generic basis inversion for libraries
InvBasis.wp | Invert a wp library representation with a particular basis spec
InvBasis.wst | Invert a wst library representation with a basis specification
ipd | Inductance plethysmography data.
ipndacw | Compute inner product matrix of discrete non-decimated autocorrelation wavelets.
irregwd | Irregular wavelet transform (decomposition).
irregwd.objects | Irregular wavelet decomposition objects.
IsEarly | Generic function to detect whether object is from an early version
IsEarly.default | Detects whether object is from an earlier version of WaveThresh
IsEarly.wd | Function to detect whether a wd object is from WaveThresh2 or not
IsPowerOfTwo | Decides whether vector elements are integral powers of two (returns NA if not).

## -- L --

l2norm | Compute L2 distance between two vectors of numbers.
lennon | John Lennon image.
levarr | Subsidiary routine that generates a particular permutation
linfnorm | Compute L infinity distance between two vectors of numbers.
LocalSpec | Compute Nason and Silverman smoothed wavelet periodogram.
LocalSpec.wd | Compute Nason and Silverman raw or smoothed wavelet periodogram.
LocalSpec.wst | Obsolete function (use ewspec)
logabs | Take the logarithm of the squares of the argument
LSWsim | Simulate arbitrary locally stationary wavelet process.
lt.to.name | Convert desired level and orientation into code used by imwd

## -- M --

madmad | Compute square of median absolute deviation (mad) function.
make.dwwt | Compute diagonal of the matrix WWT
makegrid | Interpolate data to a grid.
makewpstDO | Help page for a function
makewpstRO | Make a wavelet packet regression object from a dependent and independent time series variable.
MaNoVe | Make Node Vector (using Coifman-Wickerhauser best-basis type algorithm)
MaNoVe.wp | Make Node Vector (using Coifman-Wickerhauser best-basis type algorithm) on wavelet packet object
MaNoVe.wst | Make Node Vector (using Coifman-Wickerhauser best-basis type algorithm) on nondecimated wavelet transform object
mfilter.select | Provide filter coefficients for multiple wavelets.
mfirst.last | Build a first/last database for multiple wavelet transforms.
modernise | Generic function to upgrade a V2 WaveThresh object to V4
modernise.wd | Modernise a wd class object
mpostfilter | Multiwavelet postfilter
mprefilter | Multiwavelet prefilter
mwd | Discrete multiple wavelet transform (decomposition).
mwd.object | Multiple wavelet decomposition object (1D)
mwr | Multiple discrete wavelet transform (reconstruction).

## -- N --

newsure | Version of sure that acts as subsidiary for threshold.irregwd
nlevelsWT | Returns number of scale (resolution) levels.
nlevelsWT.default | Returns number of levels associated with an object
nullevels | Set whole resolution levels of coefficients equal to zero.
nullevels.imwd | Sets whole resolution levels of coefficients equal to zero in a imwd object.
nullevels.wd | Sets whole resolution levels of coefficients equal to zero in a wd object.
nullevels.wst | Sets whole resolution levels of coefficients equal to zero in a wst object.
numtonv | Convert an index number into a node vector object.
nv.object | Node vector objects.

## -- P --

pclaw | Claw distribution
plot.imwd | Draw a picture of the 2D wavelet coefficients using image
plot.imwdc | Draw a picture of the 2D wavelet coefficients using image
plot.irregwd | Plot variance factors of wavelet transform coefficients for irregularly spaced wavelet transform object
plot.mwd | Use plot on an mwd object.
plot.nvwp | Depict wavelet packet basis specfication
plot.wd | Plot wavelet transform coefficients.
plot.wp | Plot wavelet packet transform coefficients
plot.wst | Plot packet-ordered non-decimated wavelet transform coefficients.
plot.wst2D | Plot packet-ordered 2D non-decimated wavelet coefficients.
plotdenwd | Plot the wavelet coefficients of a p.d.f.
plotpkt | Sets up a high level plot ready to show the time-frequency plane and wavelet packet basis slots
print.BP | Print top best basis information for BP class object
print.imwd | Print out information about an imwd object in readable form.
print.imwdc | Print out information about an imwdc object in readable form.
print.mwd | Use print() on a mwd object.
print.nv | Print a node vector object, also used by several other functions to obtain packet list information
print.nvwp | Print a wavelet packet node vector object, also used by several other functions to obtain packet list information
print.w2d | Print method for printing w2d class objects
print.w2m | Print a w2m class object
print.wd | Print out information about an wd object in readable form.
print.wd3D | Print out information about an wd3D object in a readable form.
print.wp | Print out information about an wd object in readable form.
print.wpst | Prints out basic information about a wpst class object
print.wpstCL | Prints some information about a wpstCL object
print.wpstDO | Print information about a wpstDO class object
print.wpstRO | Print a wpstRO class object
print.wst | Print out information about an wst object in readable form.
print.wst2D | Print out information about an wst2d object in a readable form.
PsiJ | Compute discrete autocorrelation wavelets.
PsiJmat | Compute discrete autocorrelation wavelets but return result in matrix form.
Psiname | Return a PsiJ list object style name.
putC | Put smoothed data (father wavelet) coefficients into wavelet structure
putC.mwd | Put smoothed data into wavelet structure
putC.wd | Puts a whole resolution level of father wavelet coeffients into wd wavelet object.
putC.wp | Warning function when trying to insert father wavelet coefficients into wavelet packet object (wp).
putC.wst | Puts a whole resolution level of father wavelet coeffients into wst wavelet object.
putD | Put mother wavelet coefficients into wavelet structure
putD.mwd | Put wavelet coefficients into multiple wavelet structure
putD.wd | Puts a whole resolution level of mother wavelet coeffients into wd wavelet object.
putD.wd3D | Put wavelet coefficient array into a 3D wavelet object
putD.wp | Puts a whole resolution level of wavelet packet coeffients into wp wavelet object.
putD.wst | Puts a whole resolution level of mother wavelet coeffients into wst wavelet object.
putDwd3Dcheck | Check argument list for putD.wd3D
putpacket | Insert a packet of coefficients into a wavelet object.
putpacket.wp | Inserts a packet of coefficients into a wavelet packet object (wp).
putpacket.wst | Put a packet of coefficients into a packet ordered non-decimated wavelet object (wst).
putpacket.wst2D | Replace packet of coefficients in a two-dimensional non-decimated wavelet object (wst2D).

## -- R --

rclaw | Claw distribution
rcov | Computes robust estimate of covariance matrix
rfft | Real Fast Fourier transform
rfftinv | Inverse real FFT, inverse of rfft
rfftwt | Weight a Fourier series sequence by a set of weights
rm.det | Set coarse levels of a wavelets on the interval transform object to zero
rmget | Search for existing ipndacw matrices.
rmname | Return a ipndacw matrix style name.
rotateback | Cyclically shift a vector one place to the right
rsswav | Compute mean residual sum of squares for odd prediction of even ordinates and vice versa

## -- S --

ScalingFunction | Compute scaling functions on internally predefined grid
Shannon.entropy | Compute Shannon entropy
simchirp | Compute and return simulated chirp function.
ssq | Compute sum of squares difference between two vectors
summary.imwd | Print out some basic information associated with an imwd object
summary.imwdc | Print out some basic information associated with an imwdc object
summary.mwd | Use summary() on a mwd object.
summary.wd | Print out some basic information associated with a wd object
summary.wd3D | Print out some basic information associated with a wd3D object
summary.wp | Print out some basic information associated with a wp object
summary.wpst | Print out some basic information associated with a wpst object
summary.wst | Print out some basic information associated with a wst object
summary.wst2D | Print out some basic information associated with a wst2D object
support | Returns support of compactly supported wavelets.
sure | Computes the minimum of the SURE thresholding function

## -- T --

teddy | Picture of a teddy bear's picnic.
test.dataCT | Test functions for wavelet regression and thresholding
threshold | Threshold coefficients
threshold.imwd | Threshold two-dimensional wavelet decomposition object
threshold.imwdc | Threshold two-dimensional compressed wavelet decomposition object
threshold.irregwd | hold irregularly spaced wavelet decomposition object
threshold.mwd | Use threshold on an mwd object.
threshold.wd | Threshold (DWT) wavelet decomposition object
threshold.wd3D | Threshold 3D DWT object
threshold.wp | Threshold wavelet packet decomposition object
threshold.wst | Threshold (NDWT) packet-ordered non-decimated wavelet decomposition object
TOgetthrda1 | Subsidiary routines for Ogden and Parzen's wavelet shrinkage methods
TOgetthrda2 | Subsidiary routines for Ogden and Parzen's wavelet shrinkage methods
TOkolsmi.chi2 | Subsidiary routines for Ogden and Parzen's wavelet shrinkage methods
TOonebyone1 | Subsidiary routines for Ogden and Parzen's wavelet shrinkage methods
TOonebyone2 | Subsidiary routines for Ogden and Parzen's wavelet shrinkage methods
TOshrinkit | Subsidiary routines for Ogden and Parzen's wavelet shrinkage methods
TOthreshda1 | Data analytic wavelet thresholding routine
TOthreshda2 | Data analytic wavelet thresholding routine
tpwd | Tensor product 2D wavelet transform
tpwr | Inverse tensor product 2D wavelet transform.

## -- U --

uncompress | Uncompress objects
uncompress.default | Undo zero run-length encoding for a vector.
uncompress.imwdc | Uncompress an imwdc class object

## -- W --

wavegrow | Interactive graphical tool to grow a wavelet synthesis
WaveletCV | Wavelet cross-validation
wavethresh | Wavelet transforms and associated statistical methodology.
wd | Wavelet transform (decomposition).
wd.dh | Compute specialized wavelet transform for density estimation
wd.int | Computes "wavelets on the interval" transform
wd.object | Wavelet decomposition objects
wd3D | Three-dimensional discrete wavelet transform
wd3D.object | Three-dimensional wavelet object
Whistory | Obsolete function supposedly detailed history of object
Whistory.wst | Obsolete function: as Whistory, but for wst objects
wp | Wavelet packet transform.
wp.object | Wavelet Packet decomposition objects.
wpst | Non-decimated wavelet packet transform.
wpst2discr | Reshape/reformat packet coefficients into a multivariate data set
wpst2m | Converts a nondecimated wavelet packet object to a (large) matrix with packets stored as columns
wpstCLASS | Predict values using new time series values via a non-decimated wavelet packet discrimination object.
wpstREGR | Construct data frame using new time series using information from a previously constructed wpstRO object
wr | Wavelet reconstruction (inverse DWT).
wr.int | Computes inverse "wavelets on the interval" transform.
wr.mwd | Multiple wavelet reconstruction for mwd objects
wr.wd | Wavelet reconstruction for wd class objects (inverse discrete wavelet transform).
wr3D | Inverse DWT for 3D DWT object.
wst | Packet-ordered non-decimated wavelet transform.
wst.object | (Packet ordered) Nondecimated wavelet transform decomposition objects.
wst2D | (Packet-ordered) 2D non-decimated wavelet transform.
wst2D.object | (Packet ordered) Two-dimensional nondecimated wavelet transform decomposition objects.
wstCV | Performs two-fold cross-validation estimation using packet-ordered non-decimated wavelet transforms and one, global, threshold.
wstCVl | Performs two-fold cross-validation estimation using packet-ordered non-decimated wavelet transforms and a (vector) level-dependent threshold.
WTEnv | Environment that exists to store intermediate calculations for re-use within the same R session.
wvcvlrss | Computes estimate of error for function estimate.
wvmoments | Compute moments of wavelets or scaling function
wvrelease | Prints out the release number of the WaveThresh package