Invert a wst library representation with a basis specification
Inverts a wst basis representation with a given basis specification,
for example an output from the MaNoVe function.
## S3 method for class 'wst' InvBasis(wst, nv, ...)
wst |
The wst object that you wish to invert |
nv |
The node vector, basis spec, that you want to pick out |
... |
Other arguments, that don't do anything here |
Objects arising from a wst.object specification
are a representation of a signal with respect to a library
of basis functions. A particular basis specification can be obtained
using the numtonv function which can pick an indexed
basis function, or MaNoVe.wst which uses the
Coifman-Wickerhauser minimum entropy method to select a basis.
This function takes a wst.object and
a particular basis description (in a nv.object node vector
object) and inverts the representation with respect to that selected basis.
The inverted reconstruction
G P Nason
# # Let's generate a noisy signal # x <- example.1()$y + rnorm(512, sd=0.2) # # You can plot this if you like # ## Not run: ts.plot(x) # # Now take the nondecimated wavelet transform # xwst <- wst(x) # # Threshold it # xwstT <- threshold(xwst) # # You can plot this too if you like # ## Not run: plot(xwstT) # # Now use Coifman-Wickerhauser to get a "good" basis # xwstTNV <- MaNoVe(xwstT) # # Now invert the thresholded wst using this basis specification # xTwr <- InvBasis(xwstT, xwstTNV) # # And plot the result, and superimpose the truth in dotted # ## Not run: ts.plot(xTwr) ## Not run: lines(example.1()$y, lty=2)
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