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Function Reference


General Wavelet Functions
biorfilt
Biorthogonal wavelet filter set
centfrq
Wavelet center frequency
dyaddown
Dyadic downsampling
dyadup
Dyadic upsampling
intwave
Integrate wavelet function psi (psi)
orthfilt
Orthogonal wavelet filter set
qmf
Quadrature mirror filter
scal2frq
Scale to frequency
wavefun
Wavelet and scaling functions
wavefun2
Wavelet and scaling functions 2-D
wavemngr
Wavelet manager
wfilters
Wavelet filters
wmaxlev
Maximum wavelet decomposition level

Wavelet Families
biorwavf
Biorthogonal spline wavelet filters
cgauwavf
Complex Gaussian wavelet
cmorwavf
Complex Morlet wavelet
coifwavf
Coiflet wavelet filter
dbaux
Daubechies wavelet filter computation
dbwavf
Daubechies wavelet filter
fbspwavf
Complex frequency B-spline wavelet
gauswavf
Gaussian wavelet
mexihat
Mexican hat wavelet
meyer
Meyer wavelet
meyeraux
Meyer wavelet auxiliary function
morlet
Morlet wavelet
rbiowavf
Reverse biorthogonal spline wavelet filters
shanwavf
Complex Shannon wavelet
symaux
Symlet wavelet filter computation
symwavf
Symlet wavelet filter
waveletfamilies
Wavelet families and family members

1-D Continuous Wavelets
cwt
Real or complex continuous 1-D wavelet coefficients
cwtext
Real or complex continuous 1-D wavelet coefficients using extension parameter
pat2cwav
Build wavelet from pattern
wscalogram
Scalogram for continuous wavelet transform

1-D Discrete Wavelets
appcoef
1-D approximation coefficients
detcoef
1-D detail coefficients
dwt
Single-level discrete 1-D wavelet transform
dwtmode
Discrete wavelet transform extension mode
idwt
Single-level inverse discrete 1-D wavelet transform
upcoef
Direct reconstruction from 1-D wavelet coefficients
upwlev
Single-level reconstruction of 1-D wavelet decomposition
wavedec
Multilevel 1-D wavelet decomposition
waverec
Multilevel 1-D wavelet reconstruction
wenergy
Energy for1-D wavelet decomposition
wrcoef
Reconstruct single branch from 1-D wavelet coefficients

2-D Discrete Wavelets
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
upcoef2
Direct reconstruction from 2-D wavelet coefficients
upwlev2
Single-level reconstruction of 2-D wavelet decomposition
wavedec2
Multilevel 2-D wavelet decomposition
waverec2
Multilevel 2-D wavelet reconstruction
wenergy2
Energy for 2-D wavelet decomposition
wrcoef2
Reconstruct single branch from 2-D wavelet coefficients

3-D Discrete Wavelets
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

Wavelet Packet Algorithms
bestlevt
Best level tree wavelet packet analysis
besttree
Best tree wavelet packet analysis
entrupd
Entropy update (wavelet packet)
wenergy
Energy for wavelet packet decomposition
wentropy
Entropy (wavelet packet)
wp2wtree
Extract wavelet tree from wavelet packet tree
wpcoef
Wavelet packet coefficients
wpcutree
Cut wavelet packet tree
wpdec
Wavelet packet decomposition 1-D
wpdec2
Wavelet packet decomposition 2-D
wpfun
Wavelet packet functions
wpjoin
Recompose wavelet packet
wprcoef
Reconstruct wavelet packet coefficients
wprec
Wavelet packet reconstruction 1-D
wprec2
Wavelet packet reconstruction 2-D
wpsplt
Split (decompose) wavelet packet

Discrete Stationary Wavelet Transform Algorithms
iswt
Inverse discrete stationary wavelet transform 1-D
iswt2
Inverse discrete stationary wavelet transform 2-D
swt
Discrete stationary wavelet transform 1-D
swt2
Discrete stationary wavelet transform 2-D

Non-Decimated Wavelet Transform Algorithms
indwt
Inverse non-decimated wavelet transform 1-D
indwt2
Inverse non-decimated wavelet transform 2-D
ndwt
Non-decimated wavelet transform 1-D
ndwt2
Non-decimated wavelet transform 2-D

Lifting Wavelet Transforms
addlift
Add lifting steps to lifting scheme
bswfun
Biorthogonal scaling and wavelet functions
displs
Display lifting scheme
filt2ls
Transform quadruplet of filters to lifting scheme
ilwt
Inverse 1-D lifting wavelet transform
ilwt2
Inverse 2-D lifting wavelet transform
liftfilt
Apply elementary lifting steps on quadruplet of filters
liftwave
Lifting schemes
laurmat
Laurent matrices constructor
laurpoly
Laurent polynomials constructor
ls2filt
Transform lifting scheme to quadruplet of filters
lsinfo
Lifting schemes information
lwt
1-D lifting wavelet transform
lwt2
2-D lifting wavelet transform
lwtcoef
Extract or reconstruct 1-D LWT wavelet coefficients
lwtcoef2
Extract or reconstruct 2-D LWT wavelet coefficients
wave2lp
Laurent polynomials associated with wavelet
wavenames
Wavelet names for LWT

De-Noising and Compression
cmddenoise
Interval dependent denoising
ddencmp
Default values for de-noising 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 Birge-Massart strategy
wdcbm2
Thresholds for wavelet 2-D using Birge-Massart strategy
wden
Automatic 1-D de-noising
wdencmp
De-noising or compression
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
Wavelet coefficient thresholding 1-D
wthcoef2
Wavelet coefficient thresholding 2-D
wthresh
Soft or hard thresholding
wthrmngr
Threshold settings manager

1-D Multisignal Wavelet Analysis
wmspca
Multiscale Principal Components Analysis
wmulden
Wavelet multivariate de-noising
chgwdeccfs
Change multisignal 1-D decomposition coefficients
mdwtcluster
Multisignal 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
wdcenergy
Multisignal 1-D decomposition energy distribution

True Compression for Images
wcompress
True compression of images using wavelets

Other Wavelet Applications
wfbm
Fractional Brownian motion synthesis
wfbmesti
Parameter estimation of fractional Brownian motion
wfusimg
Fusion of two images
wfusmat
Fusion of two matrices or arrays

Tree Management Utilities
allnodes
Tree nodes
cfs2wpt
Wavelet packet tree construction from coefficients
depo2ind
Node depth-position to node index
disp
WPTREE information
drawtree
Draw wavelet packet decomposition tree (GUI)
dtree
DTREE constructor
get
WPTREE contents
ind2depo
Node index to node depth-position
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
plot
Plot tree object
read
Read values of WPTREE
readtree
Read wavelet packet decomposition tree from figure
set
WPTREE field contents
tnodes
Determine terminal nodes
treedpth
Tree depth
treeord
Tree order
wptree
Constructor for class WPTREE
wpviewcf
Plot wavelet packets colored coefficients
write
Write values in WPTREE fields
wtbo
WTBO constructor
wtreemgr
NTREE manager

General Utilities and Demos
wcodemat
Extended pseudocolor matrix scaling
localmax
Compute local maxima positions
wextend
Extend vector or matrix
wkeep
Keep part of vector or matrix
wrev
Flip vector
wtbxmngr
Wavelet Toolbox manager
wavemenu
Wavelet GUI tools
wvarchg
Find variance change points
waveinfo
Wavelet information
wavedemo
Wavelet Toolbox demos


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