support: Returns support of compactly supported wavelets.
In wavethresh: Wavelets Statistics and Transforms
support R Documentation
Returns support of compactly supported wavelets.
Description
Returns the support for compactly supported wavelets. This information is useful for drawing wavelets for annotating axes.
Usage
support(filter.number=10, family="DaubLeAsymm", m=0, n=0)
Arguments
filter.number
The member index of a wavelet within the family.
For Daubechies' compactly supported wavelet this is the number of
vanishing moments which is related to the smoothness.
See filter.select for more information on the
wavelets.
family
The family of wavelets.
See filter.select for more information on the wavelets.
m
Optional scale value (in usual wavelet terminology this is j)
n
Optional translation value (in usual wavelet terminology, this is k)
Details
It is useful to know the support of a wavelet when drawing it to annotate
labels. Other functions, such as wavelet density estimation
(CWavDE), also use this information.
Value
A list with the following components (each one is a single numeric value)
lh
Left hand support of the wavelet with scale m and translation n.
These values change as m and n (although when m=0 the function
confusingly returns the next coarser wavelet where you might
expect it to return the mother. The mother is indexed by m=-1)
rh
As lh but returns the rh end.
psi.lh
left hand end of the support interval for the mother wavelet
(remains unchanged no matter what m or n are)
psi.rh
right hand end of the support interval for the mother wavelet
(remains unchanged no matter what m or n are)
phi.lh
left hand end of the support interval for the father wavelet
(remains unchanged no matter what m or n are)
phi.rh
right hand end of the support interval for the father wavelet (remains unchanged no matter what m or n are)
Author(s)
G P Nason
See Also
CWavDE,
draw.default,
filter.select
Examples
#
# What is the support of a Haar wavelet?
#
support(filter.number=1, family="DaubExPhase", m=0, n=0)
#$lh
#[1] 0
#
#$rh
#[1] 2
#
#$psi.lh
#[1] 0
#
#$psi.rh
#[1] 1
#
#$phi.lh
#[1] 0
#
#$phi.rh
#[1] 1
#
# So the mother and father wavelet have support [0,1]
#
wavethresh documentation built on Sept. 11, 2024, 9:33 p.m.
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| support | R Documentation |
Returns support of compactly supported wavelets.
Description
Returns the support for compactly supported wavelets. This information is useful for drawing wavelets for annotating axes.
Usage
support(filter.number=10, family="DaubLeAsymm", m=0, n=0)
Arguments
filter.number |
The member index of a wavelet within the family.
For Daubechies' compactly supported wavelet this is the number of
vanishing moments which is related to the smoothness.
See |
family |
The family of wavelets.
See |
m |
Optional scale value (in usual wavelet terminology this is j) |
n |
Optional translation value (in usual wavelet terminology, this is k) |
Details
It is useful to know the support of a wavelet when drawing it to annotate
labels. Other functions, such as wavelet density estimation
(CWavDE), also use this information.
Value
A list with the following components (each one is a single numeric value)
lh |
Left hand support of the wavelet with scale m and translation n. These values change as m and n (although when m=0 the function confusingly returns the next coarser wavelet where you might expect it to return the mother. The mother is indexed by m=-1) |
rh |
As lh but returns the rh end. |
psi.lh |
left hand end of the support interval for the mother wavelet (remains unchanged no matter what m or n are) |
psi.rh |
right hand end of the support interval for the mother wavelet (remains unchanged no matter what m or n are) |
phi.lh |
left hand end of the support interval for the father wavelet (remains unchanged no matter what m or n are) |
phi.rh |
right hand end of the support interval for the father wavelet (remains unchanged no matter what m or n are) |
Author(s)
G P Nason
See Also
CWavDE,
draw.default,
filter.select
Examples
#
# What is the support of a Haar wavelet?
#
support(filter.number=1, family="DaubExPhase", m=0, n=0)
#$lh
#[1] 0
#
#$rh
#[1] 2
#
#$psi.lh
#[1] 0
#
#$psi.rh
#[1] 1
#
#$phi.lh
#[1] 0
#
#$phi.rh
#[1] 1
#
# So the mother and father wavelet have support [0,1]
#
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