Documentation

Wavelet Toolbox Functions

Wavelets and Filter Banks

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 wavelet
meyer Meyer wavelet
meyeraux Meyer wavelet auxiliary function
morlet Morlet wavelet
scal2frq Scale to frequency
shanwavf Complex Shannon wavelet
wavefun Wavelet and scaling functions
wavefun2 Wavelet and scaling functions 2-D
wavsupport Wavelet support
wavemenu Wavelet Toolbox GUI tools
wavemngr Wavelet manager
waveletfamilies Wavelet families and family members
waveinfo Wavelets information

Orthogonal and Biorthogonal Filter Banks

biorwavf Biorthogonal spline wavelet filter
biorfilt Biorthogonal wavelet filter set
coifwavf Coiflet wavelet filter
dddtree Dual-tree and double-density 1-D wavelet transform
dbaux Daubechies wavelet filter computation
dbwavf Daubechies wavelet filter
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
wavemenu Wavelet Toolbox GUI tools
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

Wavelet Design

pat2cwav Build wavelet from pattern
wavemenu Wavelet Toolbox GUI tools
wavemngr Wavelet manager
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

Continuous Wavelet Analysis

conofinf Cone of influence
cwt Continuous 1-D wavelet transform
cwtext Real or complex continuous 1-D wavelet coefficients using extension parameters
cwtft Continuous wavelet transform using FFT algorithm
cwtftinfo Valid analyzing wavelets for FFT-based CWT
cwtftinfo2 Supported 2-D CWT wavelets and Fourier transforms
cwtft2 2-D continuous wavelet transform
icwtft Inverse CWT
icwtlin Inverse continuous wavelet transform (CWT) for linearly spaced scales
localmax Identify and chain local maxima
pat2cwav Build wavelet from pattern
wcoher Wavelet coherence
wscalogram Scalogram for continuous wavelet transform
wavemenu Wavelet Toolbox GUI tools
wavemngr Wavelet manager

Discrete Wavelet Analysis

Signal Analysis

dyaddown Dyadic downsampling
dyadup Dyadic upsampling
upcoef Direct reconstruction from 1-D wavelet coefficients
appcoef 1-D approximation coefficients
detcoef 1-D detail coefficients
wrcoef Reconstruct single branch from 1-D wavelet coefficients
dwt Single-level discrete 1-D wavelet transform
dwtmode Discrete wavelet transform extension mode
idwt Single-level inverse discrete 1-D wavelet transform
waverec Multilevel 1-D wavelet reconstruction
wavedec Multilevel 1-D wavelet decomposition
upwlev Single-level reconstruction of 1-D wavelet decomposition
lwt 1-D lifting wavelet transform
lwtcoef Extract or reconstruct 1-D LWT wavelet coefficients
ilwt Inverse 1-D lifting wavelet transform
swt Discrete stationary wavelet transform 1-D
iswt Inverse discrete stationary wavelet transform 1-D
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
wenergy Energy for 1-D wavelet or wavelet packet decomposition
wvarchg Find variance change points
wmaxlev Maximum wavelet decomposition level
wfbm Fractional Brownian motion synthesis
wfbmesti Parameter estimation of fractional Brownian motion
measerr Approximation quality metrics
wrev Flip vector
wextend Extend vector or matrix
wkeep Keep part of vector or matrix
wavemenu Wavelet Toolbox GUI tools
wavemngr Wavelet manager

Image Analysis

dyaddown Dyadic downsampling
dyadup Dyadic upsampling
upcoef2 Direct reconstruction from 2-D wavelet coefficients
appcoef2 2-D approximation coefficients
detcoef2 2-D detail coefficients
dwt2 Single-level discrete 2-D wavelet transform
dwtmode Discrete wavelet transform extension mode
idwt2 Single-level inverse discrete 2-D wavelet transform
wavedec2 Multilevel 2-D wavelet decomposition
waverec2 Multilevel 2-D wavelet reconstruction
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
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
wcodemat Extended pseudocolor matrix scaling
wfusimg Fusion of two images
wfusmat Fusion of two matrices or arrayz
measerr Approximation quality metrics
wextend Extend vector or matrix
wkeep Keep part of vector or matrix
wavemenu Wavelet Toolbox GUI tools
wavemngr Wavelet manager

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
wavemenu Wavelet Toolbox GUI tools
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
wavemenu Wavelet Toolbox GUI tools
wdecenergy Multisignal 1-D decomposition energy distribution
wmspca Multiscale Principal Component Analysis
wextend Extend vector or matrix
wkeep Keep part of vector or matrix
wavemenu Wavelet Toolbox GUI tools

Wavelet Packet Analysis

dwtmode Discrete wavelet transform extension mode
wpdec Wavelet packet decomposition 1-D
wpdec2 Wavelet packet decomposition 2-D
wprec Wavelet packet reconstruction 1-D
wprec2 Wavelet packet reconstruction 2-D
wpcoef Wavelet packet coefficients
wprcoef Reconstruct wavelet packet coefficients
bestlevt Best level tree wavelet packet analysis
besttree Best tree wavelet packet analysis
entrupd Entropy update (wavelet packet)
wentropy Entropy (wavelet packet)
plot Plot tree GUI
wpviewcf Plot wavelet packets colored coefficients
wavemenu Wavelet Toolbox GUI tools
wpfun Wavelet packet functions
wpspectrum Wavelet packet spectrum
cfs2wpt Wavelet packet tree construction from coefficients
depo2ind Node depth-position to node index
wp2wtree Extract wavelet tree from wavelet packet tree
wpcutree Cut wavelet packet tree
wpsplt Split (decompose) wavelet packet
wpjoin Recompose wavelet packet
ind2depo Node index to node depth-position
otnodes Order terminal nodes of binary wavelet packet tree
write Write values in WPTREE fields
read Read values of WPTREE
readtree Read wavelet packet decomposition tree from figure
set WPTREE field contents
tnodes Determine terminal nodes
wptree WPTREE constructor
disp WPTREE information
drawtree Draw wavelet packet decomposition tree (GUI)
dtree DTREE constructor
allnodes Tree nodes
get WPTREE contents
isnode Existing node test
istnode Terminal nodes indices test
leaves Determine terminal nodes
nodeasc Node ascendants
nodedesc Node descendants
nodejoin Recompose node
nodepar Node parent
nodesplt Split (decompose) node
noleaves Determine nonterminal nodes
ntnode Number of terminal nodes
ntree NTREE constructor
treedpth Tree depth
treeord Tree order
wtbo WTBO constructor
wtreemgr NTREE manager

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
wavemenu Wavelet Toolbox GUI tools

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
wavemenu Wavelet Toolbox GUI tools
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