Wavelet Toolbox    

Function Reference


Detailed descriptions of all Wavelets Toolbox functions are in these two sections:

Functions - By Category

Graphical User Interface Tools

General Wavelet Functions

Wavelet Families

Continuous Wavelet: One-Dimensional

Discrete Wavelets: One-Dimensional

Discrete Wavelets: Two-Dimensional

Wavelet Packet Algorithms

Discrete Stationary Wavelet Transform Algorithms

De-Noising and Compression for Signals/ Images

Tree Management Utilities

General Utilities

Miscellaneous Functions and Demos

Obsolete Functions

Graphical User Interface Tools
wavemenu
Start graphical user interface tools.

General Wavelet Functions
biorfilt
Biorthogonal wavelet filter set.
centfrq
Wavelet center frequency.
dyaddown
Dyadic downsampling.
dyadup
Dyadic upsampling.
intwave
Integrate wavelet function 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.

Continuous Wavelet: One-Dimensional
cwt
Real or complex continuous wavelet coefficients 1-D.

Discrete Wavelets: One-Dimensional
appcoef
Extract 1-D approximation coefficients.
detcoef
Extract 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 for wavelet 1-D decomposition.
wrcoef
Reconstruct single branch from 1-D wavelet coefficients.

Discrete Wavelets: Two-Dimensional
appcoef2
Extract 2-D approximation coefficients.
detcoef2
Extract 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 wavelet 2-D decomposition.
wrcoef2
Reconstruct single branch from 2-D wavelet coefficients.

Wavelet Packet Algorithms
bestlevt
Best level tree (wavelet packet).
besttree
Best tree (wavelet packet).
entrupd
Entropy update (wavelet packet).
wenergy
Energy for a 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.

De-Noising and Compression for Signals/ Images
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 using wavelets.
wdencmp
De-noising or compression using wavelets.
wnoise
Generate 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
Perform soft or hard thresholding.
wthrmngr
Threshold settings manager.

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

General Utilities
wcodemat
Extended pseudocolor matrix scaling.
wextend
Extend a vector or a matrix.
wkeep
Keep part of a vector or a matrix.
wrev
Flip vector.
wtbxmngr
Wavelet toolbox manager.

Miscellaneous Functions and Demos
wvarchg
Find variance change points.
waveinfo
Information on wavelets.
wavedemo
Wavelet toolbox demos.

Obsolete Functions
dwtper
Single-level discrete 1-D wavelet transform (perodized).
dwtper2
Single-level discrete 2-D wavelet transform (perodized).
idwtper
Single-level inverse discrete 1-D wavelet transform (perodized).
idwtper2
Single-level inverse discrete 2-D wavelet transform (perodized).
maketree
Make tree.
plottree
Plot tree.
wdatamgr
Manager for data structure.


  After Adding a New Wavelet Family Functions - Alphabetical List