computes the inverse one-dimensional multi-level discrete wavelet transform (DWT). This function reconstructs data from (possibly filtered or otherwise manipulated) wavelet transform coefficients calculated by c09ccc
from an original set of data. The initialization function c09aac
must be called first to set up the DWT options.
performs the inverse operation of c09ccc
. That is, given a set of wavelet coefficients, computed up to level
using a DWT as set up by the initialization function c09aac
, on a real data array of length
will reconstruct the data array
from which the coefficients were derived. If the original input dataset is level
, then it is possible to terminate reconstruction at a higher level by specifying fewer than the number of levels used in the call to c09ccc
. This results in a partial reconstruction.
The accuracy of the wavelet transform depends only on the floating-point operations used in the convolution and downsampling and should thus be close to machine precision.