wavethresh (version 4.7.3)

support: 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)

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)

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)

Author

G P Nason

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.

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]
#