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Function Reference


General Wavelet Functions
Wavelet Families
1-D Continuous Wavelets
1-D Discrete Wavelets
2-D Discrete Wavelets
3-D Discrete Wavelets
Wavelet Packets
Discrete Stationary Wavelet Transforms
Non-Decimated Wavelet Transforms
Lifting Wavelet Transforms
De-Noising and Compression
1-D Multisignal Wavelet Analysis
True Compression for Images
Other Wavelet Applications
Tree Management Utilities
General Utilities and Demos
Matching Pursuit

General Wavelet Functions

biorfiltBiorthogonal wavelet filter set
centfrqWavelet center frequency
dyaddownDyadic downsampling
dyadupDyadic upsampling
intwaveIntegrate wavelet function psi (ψ)
orthfiltOrthogonal wavelet filter set
qmfQuadrature mirror filter
scal2frqScale to frequency
wavefunWavelet and scaling functions
wavefun2Wavelet and scaling functions 2-D
wavemngrWavelet manager
wavsupportWavelet support
wfiltersWavelet filters
wmaxlevMaximum wavelet decomposition level

Wavelet Families

biorwavfBiorthogonal spline wavelet filters
cgauwavfComplex Gaussian wavelet
cmorwavfComplex Morlet wavelet
coifwavfCoiflet wavelet filter
dbauxDaubechies wavelet filter computation
dbwavfDaubechies wavelet filter
fbspwavfComplex frequency B-spline wavelet
gauswavfGaussian wavelet
mexihatMexican hat wavelet
meyerMeyer wavelet
meyerauxMeyer wavelet auxiliary function
morletMorlet wavelet
rbiowavfReverse biorthogonal spline wavelet filters
shanwavfComplex Shannon wavelet
symauxSymlet wavelet filter computation
symwavfSymlet wavelet filter
waveletfamiliesWavelet families and family members

1-D Continuous Wavelets

conofinfCone of influence
cwtContinuous 1-D wavelet transform
cwtextReal or complex continuous 1-D wavelet coefficients using extension parameters
cwtftContinuous wavelet transform using FFT algorithm
cwtftinfoValid analyzing wavelets for FFT-based CWT
icwtftInverse CWT
pat2cwavBuild wavelet from pattern
wcoherWavelet coherence
wscalogramScalogram for continuous wavelet transform

1-D Discrete Wavelets

appcoef1-D approximation coefficients
detcoef1-D detail coefficients
dwtSingle-level discrete 1-D wavelet transform
dwtmodeDiscrete wavelet transform extension mode
idwtSingle-level inverse discrete 1-D wavelet transform
upcoefDirect reconstruction from 1-D wavelet coefficients
upwlevSingle-level reconstruction of 1-D wavelet decomposition
wavedecMultilevel 1-D wavelet decomposition
waverecMultilevel 1-D wavelet reconstruction
wrcoefReconstruct single branch from 1-D wavelet coefficients

2-D Discrete Wavelets

appcoef22-D approximation coefficients
detcoef22-D detail coefficients
dwt2Single-level discrete 2-D wavelet transform
dwtmodeDiscrete wavelet transform extension mode
idwt2Single-level inverse discrete 2-D wavelet transform
upcoef2Direct reconstruction from 2-D wavelet coefficients
upwlev2Single-level reconstruction of 2-D wavelet decomposition
wavedec2Multilevel 2-D wavelet decomposition
waverec2Multilevel 2-D wavelet reconstruction
wenergy2Energy for 2-D wavelet decomposition
wrcoef2Reconstruct single branch from 2-D wavelet coefficients

3-D Discrete Wavelets

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

Wavelet Packets

bestlevtBest level tree wavelet packet analysis
besttreeBest tree wavelet packet analysis
entrupdEntropy update (wavelet packet)
wenergyEnergy for 1-D wavelet or wavelet packet decomposition
wentropyEntropy (wavelet packet)
wp2wtreeExtract wavelet tree from wavelet packet tree
wpcoefWavelet packet coefficients
wpcutreeCut wavelet packet tree
wpdecWavelet packet decomposition 1-D
wpdec2Wavelet packet decomposition 2-D
wpfunWavelet packet functions
wpjoinRecompose wavelet packet
wprcoefReconstruct wavelet packet coefficients
wprecWavelet packet reconstruction 1-D
wprec2Wavelet packet reconstruction 2-D
wpspectrumWavelet packet spectrum
wpspltSplit (decompose) wavelet packet

Discrete Stationary Wavelet Transforms

iswtInverse discrete stationary wavelet transform 1-D
iswt2Inverse discrete stationary wavelet transform 2-D
swtDiscrete stationary wavelet transform 1-D
swt2Discrete stationary wavelet transform 2-D

Non-Decimated Wavelet Transforms

indwtInverse nondecimated 1-D wavelet transform
indwt2Inverse nondecimated 2-D wavelet transform
ndwtNondecimated 1-D wavelet transform
ndwt2Nondecimated 2-D wavelet transform

Lifting Wavelet Transforms

addliftAdd lifting steps to lifting scheme
bswfunBiorthogonal scaling and wavelet functions
displsDisplay lifting scheme
filt2lsTransform quadruplet of filters to lifting scheme
ilwtInverse 1-D lifting wavelet transform
ilwt2Inverse 2-D lifting wavelet transform
laurmatLaurent matrices constructor
laurpolyLaurent polynomials constructor
liftfiltApply elementary lifting steps on quadruplet of filters
liftwaveLifting schemes
ls2filtTransform lifting scheme to quadruplet of filters
lsinfoLifting schemes information
lwt1-D lifting wavelet transform
lwt22-D lifting wavelet transform
lwtcoefExtract or reconstruct 1-D LWT wavelet coefficients
lwtcoef2Extract or reconstruct 2-D LWT wavelet coefficients
wave2lpLaurent polynomials associated with wavelet
wavenamesWavelet names for LWT

De-Noising and Compression

cmddenoiseInterval-dependent denoising
ddencmpDefault values for de-noising or compression
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
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
wpthcoefWavelet packet coefficients thresholding
wthcoefWavelet coefficient thresholding 1-D
wthcoef2Wavelet coefficient thresholding 2-D
wthreshSoft or hard thresholding
wthrmngrThreshold settings manager

1-D Multisignal Wavelet Analysis

chgwdeccfsChange multisignal 1-D decomposition coefficients
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
wmuldenWavelet multivariate de-noising

True Compression for Images

wcompressTrue compression of images using wavelets

Other Wavelet Applications

wfbmFractional Brownian motion synthesis
wfbmestiParameter estimation of fractional Brownian motion
wfusimgFusion of two images
wfusmatFusion of two matrices or arrays

Tree Management Utilities

allnodesTree nodes
cfs2wptWavelet packet tree construction from coefficients
depo2indNode depth-position to node index
dispWPTREE information
drawtreeDraw wavelet packet decomposition tree (GUI)
dtreeDTREE constructor
getWPTREE contents
ind2depoNode index to node depth-position
isnodeExisting node test
istnodeTerminal nodes indices test
leavesDetermine terminal nodes
nodeascNode ascendants
nodedescNode descendants
nodejoinRecompose node
nodeparNode parent
nodespltSplit (decompose) node
noleavesDetermine nonterminal nodes
ntnodeNumber of terminal nodes
ntreeNTREE constructor
otnodesOrder terminal nodes of binary wavelet packet tree
plotPlot tree GUI
readRead values of WPTREE
readtreeRead wavelet packet decomposition tree from figure
setWPTREE field contents
tnodesDetermine terminal nodes
treedpthTree depth
treeordTree order
wptreeWPTREE constructor
wpviewcfPlot wavelet packets colored coefficients
writeWrite values in WPTREE fields
wtboWTBO constructor
wtreemgrNTREE manager

General Utilities and Demos

localmaxIdentify and chain local maxima
measerrApproximation quality metrics
wavedemoWavelet Toolbox software demos
waveinfoWavelets information
wavemenuWavelet Toolbox GUI tools
wcodematExtended pseudocolor matrix scaling
wextendExtend vector or matrix
wkeepKeep part of vector or matrix
wrevFlip vector
wtbxmngrWavelet Toolbox manager
wvarchgFind variance change points

Matching Pursuit

wmpalg Matching pursuit
wmpdictionary Dictionary for matching pursuit
  


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