TITLE(support @@ Compute support of wavelet )
Computes the support of a wavelet
USAGE(
support(filter.number=2, family="DaubExPhase", m=0, n=0)
)
ARGUMENTS(
ARG(filter.number@@)
The number within the wavelet family whose support you wish to compute
ARG(family@@)
The family of wavelets that you wish to use
ARG(m@@)
The dilation number
ARG(n@@)
The translation number
)
PARA BOLD(VALUE)
A list containing the support of the wavelets. The list contains
the following components:
ARG(lh@@)
The left-hand end of the interval of the support of the wavelet.
ARG(rh@@)
The right-hand end
ARG(psi.lh@@)
The left-hand end of the support of the mother wavelet
ARG(psi.rh@@)
The right-hand end
ARG(phi.lh@@)
The left-hand end of the support of the scale function (father wavelet)
ARG(phi.rh@@)
The right-hand end
To draw a wavelet it is important to know it's support. This function
provides this information. If a new family of wavelets is added then their
support needs to be determined and this function modified.
This function needn't be called by the user in normal use.
If the wavelet's aren't compactly supported then the support will not
be a simple closed interval!
PARA BOLD(RELEASE)
Release 2.2
Copyright Guy Nason 1993
PARA BOLD(REFERENCES)
Daubechies, I. (1988)
Orthonormal bases of compactly supported wavelets
Communications on Pure and Applied Mathematics, Vol. 41, 909-996
PARA BOLD(BUGS)
As the example shows below, when m=0 and n=0 the lh and rh don't show
the mother wavelet's support, but the wavelet above the mother wavelet.
The calling functions allow for this.
PARA BOLD(SEE ALSO)
LANG(draw)
BLANK

PARA BOLD( )
BLANK

EXAMPLES(
> support()
\$lh:
[1] -2
\$rh:
[1] 4
\$psi.lh:
[1] -1
\$psi.rh:
[1] 2
\$phi.lh:
[1] 0
\$phi.rh:
[1] 3
)
PARA ITALIC(File automatically converted from S(-PLUS) help format)
