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Wavelet Toolbox Functions

Alphabetical List By Category

Continuous Wavelet Analysis

Continuous Wavelet Transforms

cwtContinuous 1-D wavelet transform
icwtInverse continuous 1-D wavelet transform
cwtft22-D continuous wavelet transform
cwtftinfo2Supported 2-D CWT wavelets and Fourier transforms
wcoherenceWavelet coherence and cross-spectrum
wsstWavelet synchrosqueezed transform
iwsstInverse wavelet synchrosqueezed transform
wsstridgeTime-frequency ridges from wavelet synchrosqueezing
wtmmWavelet transform modulus maxima
wavemngrWavelet manager

Real- and Complex-Valued Wavelets

bswfunBiorthogonal scaling and wavelet functions
centfrqWavelet center frequency
cgauwavfComplex Gaussian wavelet
cmorwavfComplex Morlet wavelet
fbspwavfComplex frequency B-spline wavelet
gauswavfGaussian wavelet
intwaveIntegrate wavelet function psi (ψ)
mexihatMexican hat (Ricker) wavelet
meyerMeyer wavelet
meyerauxMeyer wavelet auxiliary function
morletMorlet wavelet
pat2cwavBuild wavelet from pattern
scal2frqScale to frequency
shanwavfComplex Shannon wavelet
wavefunWavelet and scaling functions
wavefun2Wavelet and scaling functions 2-D
wavsupportWavelet support
wavemngrWavelet manager
waveletfamiliesWavelet families and family members
waveinfoWavelets information

Discrete Wavelet Analysis

Signal Analysis

wavedecMultilevel 1-D wavelet decomposition
waverecMultilevel 1-D wavelet reconstruction
dwtSingle-level discrete 1-D wavelet transform
idwtSingle-level inverse discrete 1-D wavelet transform
appcoef1-D approximation coefficients
detcoef1-D detail coefficients
dwtmodeDiscrete wavelet transform extension mode
haartHaar 1-D wavelet transform
ihaartInverse 1-D Haar wavelet transform
lwt1-D lifting wavelet transform
ilwtInverse 1-D lifting wavelet transform
lwtcoefExtract or reconstruct 1-D LWT wavelet coefficients
upcoefDirect reconstruction from 1-D wavelet coefficients
wrcoefReconstruct single branch from 1-D wavelet coefficients
upwlevSingle-level reconstruction of 1-D wavelet decomposition
wenergyEnergy for 1-D wavelet or wavelet packet decomposition
wmaxlevMaximum wavelet decomposition level
depo2indNode depth-position to node index
ind2depoNode index to node depth-position
plotPlot tree GUI
wpdecWavelet packet decomposition 1-D
wprecWavelet packet reconstruction 1-D
wpcoefWavelet packet coefficients
wprcoefReconstruct wavelet packet coefficients
bestlevtBest level tree wavelet packet analysis
besttreeBest tree wavelet packet analysis
wpspectrumWavelet packet spectrum
wpspltSplit (decompose) wavelet packet
wpjoinRecompose wavelet packet
wpfunWavelet packet functions
otnodesOrder terminal nodes of binary wavelet packet tree
wenergyEnergy for 1-D wavelet or wavelet packet decomposition
modwtMaximal overlap discrete wavelet transform
imodwtInverse maximal overlap discrete wavelet transform
modwtmraMultiresolution analysis based on MODWT
modwtcorrMultiscale correlation using the maximal overlap discrete wavelet transform
modwtvarMultiscale variance of maximal overlap discrete wavelet transform
modwtxcorrWavelet cross-correlation sequence estimates using the maximal overlap discrete wavelet transform (MODWT)
swtDiscrete stationary wavelet transform 1-D
iswtInverse discrete stationary wavelet transform 1-D
modwptMaximal overlap discrete wavelet packet transform
imodwptInverse maximal overlap discrete wavelet packet transform
modwptdetailsMaximal overlap discrete wavelet packet transform details
dddtreeDual-tree and double-density 1-D wavelet transform
dddtreecfsExtract dual-tree/double-density wavelet coefficients or projections
dtfiltersAnalysis and synthesis filters for oversampled wavelet filter banks
idddtreeInverse dual-tree and double-density 1-D wavelet transform
plotdtPlot dual-tree or double-density wavelet transform
dwtleaderMultifractal 1-D wavelet leader estimates
wfbmFractional Brownian motion synthesis
wfbmestiParameter estimation of fractional Brownian motion
wvarchgFind variance change points
measerrApproximation quality metrics
wavemngrWavelet manager
dyaddownDyadic downsampling
dyadupDyadic upsampling
allnodesTree nodes
getWPTREE contents
isnodeExisting node test
istnodeTerminal nodes indices test
entrupdEntropy update (wavelet packet)
nodejoinRecompose node
nodespltSplit (decompose) node
tnodesDetermine terminal nodes
wpviewcfPlot wavelet packets colored coefficients

Image Analysis

wavedec2Multilevel 2-D wavelet decomposition
waverec2Multilevel 2-D wavelet reconstruction
dwt2Single-level discrete 2-D wavelet transform
idwt2Single-level inverse discrete 2-D wavelet transform
appcoef22-D approximation coefficients
detcoef22-D detail coefficients
dwtmodeDiscrete wavelet transform extension mode
haart22-D Haar wavelet transform
ihaart2Inverse 2-D Haar wavelet transform
upcoef2Direct reconstruction from 2-D wavelet coefficients
wrcoef2Reconstruct single branch from 2-D wavelet coefficients
upwlev2Single-level reconstruction of 2-D wavelet decomposition
ilwt2Inverse 2-D lifting wavelet transform
iswt2Inverse discrete stationary wavelet transform 2-D
lwt22-D lifting wavelet transform
lwtcoef2Extract or reconstruct 2-D LWT wavelet coefficients
wenergy2Energy for 2-D wavelet decomposition
wpdec2Wavelet packet decomposition 2-D
wprec2Wavelet packet reconstruction 2-D
wpcoefWavelet packet coefficients
wprcoefReconstruct wavelet packet coefficients
wpfunWavelet packet functions
bestlevtBest level tree wavelet packet analysis
besttreeBest tree wavelet packet analysis
depo2indNode depth-position to node index
ind2depoNode index to node depth-position
wentropyEntropy (wavelet packet)
wenergy2Energy for 2-D wavelet decomposition
swt2Discrete stationary wavelet transform 2-D
iswt2Inverse discrete stationary wavelet transform 2-D
dddtreecfsExtract dual-tree/double-density wavelet coefficients or projections
dddtree2Dual-tree and double-density 2-D wavelet transform
dtfiltersAnalysis and synthesis filters for oversampled wavelet filter banks
idddtree2Inverse dual-tree and double-density 2-D wavelet transform
plotdtPlot dual-tree or double-density wavelet transform
wfusimgFusion of two images
wfusmatFusion of two matrices or arrays
wavemngrWavelet manager
wkeepKeep part of vector or matrix
dyaddownDyadic downsampling
dyadupDyadic upsampling
allnodesTree nodes
getWPTREE contents
isnodeExisting node test
istnodeTerminal nodes indices test
nodejoinRecompose node
nodespltSplit (decompose) node
ntnodeNumber of terminal nodes
wcodematExtended pseudocolor matrix scaling

3-D Analysis

dwt3Single-level discrete 3-D wavelet transform
dwtmodeDiscrete wavelet transform extension mode
idwt3Single-level inverse discrete 3-D wavelet transform
wavedec3Multilevel 3-D wavelet decomposition
waverec3Multilevel 3-D wavelet reconstruction
dualtree33-D dual-tree complex wavelet transform
idualtree33-D dual-tree wavelet reconstruction
wavemngrWavelet manager

Multisignal Analysis

chgwdeccfsChange multisignal 1-D decomposition coefficients
dwtmodeDiscrete wavelet transform extension mode
mdwtclusterMultisignals 1-D clustering
mdwtdecMultisignal 1-D wavelet decomposition
mdwtrecMultisignal 1-D wavelet reconstruction
mswcmpMultisignal 1-D compression using wavelets
mswcmpscrMultisignal 1-D wavelet compression scores
mswcmptpMultisignal 1-D compression thresholds and performances
mswdenMultisignal 1-D denoising using wavelets
mswthreshPerform multisignal 1-D thresholding
wdecenergyMultisignal 1-D decomposition energy distribution
wmspcaMultiscale Principal Component Analysis
wkeepKeep part of vector or matrix

Denoising and Compression

Denoising

cmddenoiseInterval-dependent denoising
ddencmpDefault values for denoising or compression
measerrApproximation quality metrics
mlptdenoiseDenoise signal using multiscale local 1-D polynomial transform
thselectThreshold selection for de-noising
wbmpenPenalized threshold for wavelet 1-D or 2-D de-noising
wdcbmThresholds for wavelet 1-D using Birgé-Massart strategy
wdcbm2Thresholds for wavelet 2-D using Birgé-Massart strategy
wdenAutomatic 1-D de-noising
wdencmpDe-noising or compression
wdenoiseDenoise data using an empirical Bayesian method with a Cauchy prior
wmuldenWavelet multivariate de-noising
wnoiseNoisy wavelet test data
wnoisestEstimate noise of 1-D wavelet coefficients
wpbmpenPenalized threshold for wavelet packet de-noising
wpdencmpDe-noising or compression using wavelet packets
wthrmngrThreshold settings manager
wvarchgFind variance change points
wpthcoefWavelet packet coefficients thresholding
wthcoef1-D wavelet coefficient thresholding
wthcoef2Wavelet coefficient thresholding 2-D
wthreshSoft or hard thresholding

Compression

wcompressTrue compression of images using wavelets
wpdencmpDe-noising or compression using wavelet packets
measerrApproximation quality metrics
wmpalgMatching pursuit
wmpdictionaryDictionary for matching pursuit

Filter Banks

Orthogonal and Biorthogonal Filter Banks

biorwavfBiorthogonal spline wavelet filter
biorfiltBiorthogonal wavelet filter set
coifwavfCoiflet wavelet filter
dtfiltersAnalysis and synthesis filters for oversampled wavelet filter banks
dbauxDaubechies wavelet filter computation
dbwavfDaubechies wavelet filter
fejerkorovkinFejer-Korovkin wavelet filters
orthfiltOrthogonal wavelet filter set
rbiowavfReverse biorthogonal spline wavelet filters
qmfScaling and Wavelet Filter
symauxSymlet wavelet filter computation
symwavfSymlet wavelet filter
wavefunWavelet and scaling functions
wavefun2Wavelet and scaling functions 2-D
wfiltersWavelet filters
wrevFlip vector
wavemngrWavelet manager
waveletfamiliesWavelet families and family members
waveinfoWavelets information
wavenamesWavelet names for LWT

Lifting

addliftAdd lifting steps to lifting scheme
displsDisplay lifting scheme
filt2lsTransform quadruplet of filters to lifting scheme
laurmatLaurent matrices constructor
laurpolyLaurent polynomials constructor
liftfiltApply elementary lifting steps on quadruplet of filters
liftwaveLifting schemes
lsinfoLifting schemes information
ls2filtTransform lifting scheme to quadruplet of filters
wave2lpLaurent polynomials associated with wavelet
imlptInverse multiscale local 1-D polynomial transform
mlptMultiscale local 1-D polynomial transform
mlptdenoiseDenoise signal using multiscale local 1-D polynomial transform
mlptreconReconstruct signal using inverse multiscale local 1-D polynomial transform
wavemngrWavelet manager
waveletfamiliesWavelet families and family members
waveinfoWavelets information
wavenamesWavelet names for LWT

Code Generation

appcoef1-D approximation coefficients
detcoef1-D detail coefficients
dwtSingle-level discrete 1-D wavelet transform
idwtSingle-level inverse discrete 1-D wavelet transform
dyadupDyadic upsampling
modwtMaximal overlap discrete wavelet transform
imodwtInverse maximal overlap discrete wavelet transform
modwtmraMultiresolution analysis based on MODWT
modwptMaximal overlap discrete wavelet packet transform
imodwptInverse maximal overlap discrete wavelet packet transform
modwptdetailsMaximal overlap discrete wavelet packet transform details
wavedecMultilevel 1-D wavelet decomposition
waverecMultilevel 1-D wavelet reconstruction
wextendExtend vector or matrix
appcoef22-D approximation coefficients
detcoef22-D detail coefficients
dwt2Single-level discrete 2-D wavelet transform
idwt2Single-level inverse discrete 2-D wavelet transform
wavedec2Multilevel 2-D wavelet decomposition
waverec2Multilevel 2-D wavelet reconstruction
wextendExtend vector or matrix
ddencmpDefault values for denoising or compression
wdenAutomatic 1-D de-noising
wdencmpDe-noising or compression
wthcoef1-D wavelet coefficient thresholding
wthcoef2Wavelet coefficient thresholding 2-D
thselectThreshold selection for de-noising
wthreshSoft or hard thresholding
qmfScaling and Wavelet Filter
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