WaveThresh Help

conbar


DESCRIPTION

Wrapper to the the C function conbar which is the main function in WaveThresh to do filter convolution with data. conbar is used to carry out the data reconstruction in WaveThresh. (Although use wr to actually do the inverse of a wavelet transform: wr uses conbar repeatedly once for each level to reconstruct each level).

USAGE

conbar(c.in, d.in, filter)

REQUIRED ARGUMENTS

c.in
The father wavelet coefficients that you wish to reconstruct in this level's convolution.
d.in
The mother wavelet coefficients that you wish to reconstruct in this level's convolution.
filter
A given filter that you wish to use in the level reconstruction. This should be the output from the filter.select function.

OPTIONAL ARGUMENTS

None.

VALUE

A vector containing the reconstructed coefficients.

SIDE EFFECTS

None.

DETAILS

The wr function performs the inverse wavelet transform on an wd class object.

Internally, the wr function uses the C conbar function. Other functions also make use of conbar and some R functions also would benefit from using the fast C code of the conbar reconstruction hence this WaveThresh function. Some of the other functions that use conbar are listed in the SEE ALSO section.

RELEASE

Version 2.2 Copyright Guy Nason 1993

SEE ALSO

av.basis, InvBasis.wp, wr.

EXAMPLES

#
# Let's generate some test data, just some 32 normal variates.
#
v <- rnorm(32)
#
# Now take the wavelet transform with default filter arguments (which
# are filter.number=10, family="DaubLeAsymm")
#
vwd <- wd(v)
#
# Now, let's take an arbitrary level, say 2, and reconstruct level 3
# scaling function coefficients
#
c.in <- accessC(vwd, lev=2)
d.in <- accessD(vwd, lev=2)
#
conbar(c.in, d.in, filter.select(filter.number=10, family="DaubLeAsymm"))
#[1] -0.50368115  0.04738620 -0.90331807  1.08497622  0.90490528  0.06252717
#[7]  2.55894899 -1.26067508
#
# Ok, this was the pure reconstruction from using only level 2 information.
#
# Let's check this against the "original" level 3 coefficients (which get
# stored on the decomposition step in wd)
#
accessC(vwd, lev=3)
#[1] -0.50368115  0.04738620 -0.90331807  1.08497622  0.90490528  0.06252717
#[7]  2.55894899 -1.26067508
#
# Yep, the same numbers!
#