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Wavelet Toolbox Functions

Alphabetical List By Category

Continuous Wavelet Analysis

Continuous Wavelet Transforms

cwt Continuous 1-D wavelet transform
icwt Inverse continuous 1-D wavelet transform
cwtft2 2-D continuous wavelet transform
cwtftinfo2 Supported 2-D CWT wavelets and Fourier transforms
wcoherence Wavelet coherence and cross-spectrum
wsst Wavelet synchrosqueezed transform
iwsst Inverse wavelet synchrosqueezed transform
wsstridge Time-frequency ridges from wavelet synchrosqueezing
wtmm Wavelet transform modulus maxima
wavemngr Wavelet manager

Real- and Complex-Valued Wavelets

bswfun Biorthogonal scaling and wavelet functions
centfrq Wavelet center frequency
cgauwavf Complex Gaussian wavelet
cmorwavf Complex Morlet wavelet
fbspwavf Complex frequency B-spline wavelet
gauswavf Gaussian wavelet
intwave Integrate wavelet function psi (ψ)
mexihat Mexican hat (Ricker) wavelet
meyer Meyer wavelet
meyeraux Meyer wavelet auxiliary function
morlet Morlet wavelet
pat2cwav Build wavelet from pattern
scal2frq Scale to frequency
shanwavf Complex Shannon wavelet
wavefun Wavelet and scaling functions
wavefun2 Wavelet and scaling functions 2-D
wavsupport Wavelet support
wavemngr Wavelet manager
waveletfamilies Wavelet families and family members
waveinfo Wavelets information

Discrete Wavelet Analysis

Signal Analysis

wavedec Multilevel 1-D wavelet decomposition
waverec Multilevel 1-D wavelet reconstruction
dwt Single-level discrete 1-D wavelet transform
idwt Single-level inverse discrete 1-D wavelet transform
appcoef 1-D approximation coefficients
detcoef 1-D detail coefficients
dwtmode Discrete wavelet transform extension mode
haart Haar 1-D wavelet transform
ihaart Inverse 1-D Haar wavelet transform
lwt 1-D lifting wavelet transform
ilwt Inverse 1-D lifting wavelet transform
lwtcoef Extract or reconstruct 1-D LWT wavelet coefficients
upcoef Direct reconstruction from 1-D wavelet coefficients
wrcoef Reconstruct single branch from 1-D wavelet coefficients
upwlev Single-level reconstruction of 1-D wavelet decomposition
wenergy Energy for 1-D wavelet or wavelet packet decomposition
wmaxlev Maximum wavelet decomposition level
wpdec Wavelet packet decomposition 1-D
wprec Wavelet packet reconstruction 1-D
wpcoef Wavelet packet coefficients
wprcoef Reconstruct wavelet packet coefficients
bestlevt Best level tree wavelet packet analysis
besttree Best tree wavelet packet analysis
depo2ind Node depth-position to node index
ind2depo Node index to node depth-position
plot Plot tree GUI
wpspectrum Wavelet packet spectrum
wpsplt Split (decompose) wavelet packet
wpjoin Recompose wavelet packet
wpfun Wavelet packet functions
otnodes Order terminal nodes of binary wavelet packet tree
wenergy Energy for 1-D wavelet or wavelet packet decomposition
modwt Maximal overlap discrete wavelet transform
imodwt Inverse maximal overlap discrete wavelet transform
modwtmra Multiresolution analysis based on MODWT
modwtcorr Multiscale correlation using the maximal overlap discrete wavelet transform
modwtvar Multiscale variance of maximal overlap discrete wavelet transform
modwtxcorr Wavelet cross-correlation sequence estimates using the maximal overlap discrete wavelet transform (MODWT)
swt Discrete stationary wavelet transform 1-D
iswt Inverse discrete stationary wavelet transform 1-D
modwpt Maximal overlap discrete wavelet packet transform
imodwpt Inverse maximal overlap discrete wavelet packet transform
modwptdetails Maximal overlap discrete wavelet packet transform details
dddtree Dual-tree and double-density 1-D wavelet transform
dddtreecfs Extract dual-tree/double-density wavelet coefficients or projections
dtfilters Analysis and synthesis filters for oversampled wavelet filter banks
idddtree Inverse dual-tree and double-density 1-D wavelet transform
plotdt Plot dual-tree or double-density wavelet transform
dwtleader Multifractal 1-D wavelet leader estimates
wfbm Fractional Brownian motion synthesis
wfbmesti Parameter estimation of fractional Brownian motion
wvarchg Find variance change points
measerr Approximation quality metrics
wavemngr Wavelet manager
dyaddown Dyadic downsampling
dyadup Dyadic upsampling
allnodes Tree nodes
get WPTREE contents
isnode Existing node test
istnode Terminal nodes indices test
entrupd Entropy update (wavelet packet)
nodejoin Recompose node
nodesplt Split (decompose) node
tnodes Determine terminal nodes
wpviewcf Plot wavelet packets colored coefficients
cfs2wpt Wavelet packet tree construction from coefficients
wptree WPTREE constructor
wp2wtree Extract wavelet tree from wavelet packet tree
wpcutree Cut wavelet packet tree
dtree DTREE constructor
ntree NTREE constructor
treeord Tree order
write Write values in WPTREE fields
read Read values of WPTREE
set WPTREE field contents
disp WPTREE information

Image Analysis

wavedec2 Multilevel 2-D wavelet decomposition
waverec2 Multilevel 2-D wavelet reconstruction
dwt2 Single-level discrete 2-D wavelet transform
idwt2 Single-level inverse discrete 2-D wavelet transform
appcoef2 2-D approximation coefficients
detcoef2 2-D detail coefficients
dwtmode Discrete wavelet transform extension mode
haart2 2-D Haar wavelet transform
ihaart2 Inverse 2-D Haar wavelet transform
upcoef2 Direct reconstruction from 2-D wavelet coefficients
wrcoef2 Reconstruct single branch from 2-D wavelet coefficients
upwlev2 Single-level reconstruction of 2-D wavelet decomposition
wenergy2 Energy for 2-D wavelet decomposition
wpdec2 Wavelet packet decomposition 2-D
wprec2 Wavelet packet reconstruction 2-D
wpcoef Wavelet packet coefficients
wprcoef Reconstruct wavelet packet coefficients
wpfun Wavelet packet functions
bestlevt Best level tree wavelet packet analysis
besttree Best tree wavelet packet analysis
depo2ind Node depth-position to node index
ind2depo Node index to node depth-position
wentropy Entropy (wavelet packet)
ilwt2 Inverse 2-D lifting wavelet transform
iswt2 Inverse discrete stationary wavelet transform 2-D
lwt2 2-D lifting wavelet transform
lwtcoef2 Extract or reconstruct 2-D LWT wavelet coefficients
swt2 Discrete stationary wavelet transform 2-D
iswt2 Inverse discrete stationary wavelet transform 2-D
dddtreecfs Extract dual-tree/double-density wavelet coefficients or projections
dddtree2 Dual-tree and double-density 2-D wavelet transform
dtfilters Analysis and synthesis filters for oversampled wavelet filter banks
idddtree2 Inverse dual-tree and double-density 2-D wavelet transform
plotdt Plot dual-tree or double-density wavelet transform
wfusimg Fusion of two images
wfusmat Fusion of two matrices or arrays
wavemngr Wavelet manager
wkeep Keep part of vector or matrix
dyaddown Dyadic downsampling
dyadup Dyadic upsampling
allnodes Tree nodes
get WPTREE contents
isnode Existing node test
istnode Terminal nodes indices test
nodejoin Recompose node
nodesplt Split (decompose) node
ntnode Number of terminal nodes
wcodemat Extended pseudocolor matrix scaling
cfs2wpt Wavelet packet tree construction from coefficients
wp2wtree Extract wavelet tree from wavelet packet tree
wpcutree Cut wavelet packet tree
dtree DTREE constructor
ntree NTREE constructor
wptree WPTREE constructor
treeord Tree order
entrupd Entropy update (wavelet packet)
wentropy Entropy (wavelet packet)
write Write values in WPTREE fields
read Read values of WPTREE
set WPTREE field contents
disp WPTREE information

3-D Analysis

dwt3 Single-level discrete 3-D wavelet transform
dwtmode Discrete wavelet transform extension mode
idwt3 Single-level inverse discrete 3-D wavelet transform
wavedec3 Multilevel 3-D wavelet decomposition
waverec3 Multilevel 3-D wavelet reconstruction
wavemngr Wavelet manager

Multisignal Analysis

chgwdeccfs Change multisignal 1-D decomposition coefficients
dwtmode Discrete wavelet transform extension mode
mdwtcluster Multisignals 1-D clustering
mdwtdec Multisignal 1-D wavelet decomposition
mdwtrec Multisignal 1-D wavelet reconstruction
mswcmp Multisignal 1-D compression using wavelets
mswcmpscr Multisignal 1-D wavelet compression scores
mswcmptp Multisignal 1-D compression thresholds and performances
mswden Multisignal 1-D denoising using wavelets
mswthresh Perform multisignal 1-D thresholding
wdecenergy Multisignal 1-D decomposition energy distribution
wmspca Multiscale Principal Component Analysis
wkeep Keep part of vector or matrix

Denoising and Compression

Denoising

cmddenoise Interval-dependent denoising
ddencmp Default values for denoising or compression
thselect Threshold selection for de-noising
wbmpen Penalized threshold for wavelet 1-D or 2-D de-noising
wdcbm Thresholds for wavelet 1-D using Birgé-Massart strategy
wdcbm2 Thresholds for wavelet 2-D using Birgé-Massart strategy
wden Automatic 1-D de-noising
wdencmp De-noising or compression
wmulden Wavelet multivariate de-noising
wnoise Noisy wavelet test data
wnoisest Estimate noise of 1-D wavelet coefficients
wpbmpen Penalized threshold for wavelet packet de-noising
wpdencmp De-noising or compression using wavelet packets
wpthcoef Wavelet packet coefficients thresholding
wthcoef 1-D wavelet coefficient thresholding
wthcoef2 Wavelet coefficient thresholding 2-D
wthresh Soft or hard thresholding
wthrmngr Threshold settings manager
wvarchg Find variance change points
measerr Approximation quality metrics

Compression

wcompress True compression of images using wavelets
wpdencmp De-noising or compression using wavelet packets
measerr Approximation quality metrics
wmpalg Matching pursuit
wmpdictionary Dictionary for matching pursuit

Filter Banks

Orthogonal and Biorthogonal Filter Banks

biorwavf Biorthogonal spline wavelet filter
biorfilt Biorthogonal wavelet filter set
coifwavf Coiflet wavelet filter
dtfilters Analysis and synthesis filters for oversampled wavelet filter banks
dbaux Daubechies wavelet filter computation
dbwavf Daubechies wavelet filter
fejerkorovkin Fejer-Korovkin wavelet filters
orthfilt Orthogonal wavelet filter set
rbiowavf Reverse biorthogonal spline wavelet filters
qmf Scaling and Wavelet Filter
symaux Symlet wavelet filter computation
symwavf Symlet wavelet filter
wavefun Wavelet and scaling functions
wavefun2 Wavelet and scaling functions 2-D
wfilters Wavelet filters
wrev Flip vector
wavemngr Wavelet manager
waveletfamilies Wavelet families and family members
waveinfo Wavelets information
wavenames Wavelet names for LWT

Lifting

addlift Add lifting steps to lifting scheme
displs Display lifting scheme
filt2ls Transform quadruplet of filters to lifting scheme
laurmat Laurent matrices constructor
laurpoly Laurent polynomials constructor
liftfilt Apply elementary lifting steps on quadruplet of filters
liftwave Lifting schemes
lsinfo Lifting schemes information
ls2filt Transform lifting scheme to quadruplet of filters
wave2lp Laurent polynomials associated with wavelet
wavemngr Wavelet manager
waveletfamilies Wavelet families and family members
waveinfo Wavelets information
wavenames Wavelet names for LWT

Code Generation

appcoef 1-D approximation coefficients
detcoef 1-D detail coefficients
dwt Single-level discrete 1-D wavelet transform
idwt Single-level inverse discrete 1-D wavelet transform
dyadup Dyadic upsampling
modwt Maximal overlap discrete wavelet transform
imodwt Inverse maximal overlap discrete wavelet transform
modwtmra Multiresolution analysis based on MODWT
modwpt Maximal overlap discrete wavelet packet transform
imodwpt Inverse maximal overlap discrete wavelet packet transform
modwptdetails Maximal overlap discrete wavelet packet transform details
wavedec Multilevel 1-D wavelet decomposition
waverec Multilevel 1-D wavelet reconstruction
wextend Extend vector or matrix
appcoef2 2-D approximation coefficients
detcoef2 2-D detail coefficients
dwt2 Single-level discrete 2-D wavelet transform
idwt2 Single-level inverse discrete 2-D wavelet transform
wavedec2 Multilevel 2-D wavelet decomposition
waverec2 Multilevel 2-D wavelet reconstruction
wextend Extend vector or matrix
ddencmp Default values for denoising or compression
wden Automatic 1-D de-noising
wdencmp De-noising or compression
wthcoef 1-D wavelet coefficient thresholding
wthcoef2 Wavelet coefficient thresholding 2-D
thselect Threshold selection for de-noising
wthresh Soft or hard thresholding
qmf Scaling and Wavelet Filter
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