Wavelets Statistics and Transforms

Documentation for package ‘wavethresh’ version 4.6.8

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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