| support {wavethresh} | 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]
#