Wavelets Statistics and Transforms

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Documentation for package ‘wavethresh’ version 4.7.2

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wavethresh-package Wavelets Statistics and Transforms

-- 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 Wavelets Statistics and Transforms
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