BUILT-IN MATHEMATICA SYMBOL

InverseWaveletTransform

InverseWaveletTransform[dwd]
gives the inverse wavelet transform of a DiscreteWaveletData object dwd.

InverseWaveletTransform[dwd, wave]
gives the inverse transform using the wavelet wave.

InverseWaveletTransform[dwd, wave, wind]
gives the inverse transform from the wavelet coefficients specified by wind.

Details and Options Details and Options

InverseWaveletTransform computes the inverse transform of discrete forward transforms such as DiscreteWaveletTransform etc.
The possible wavelets wave are the same as for the forward wavelet transforms.
The default wave is Automatic, which is taken to be dwd["Wavelet"].
The possible specifications for wind are the same as used by DiscreteWaveletData.
The default wind is Automatic, which is taken to be dwd["BasisIndex"].
InverseWaveletTransform[dwd, wave, wind] computes the inverse transform using only the wavelet coefficients specified by wind; other coefficients are set to be zero.
The inverse transform works recursively by computing coefficients with wavelet index from coefficients with wavelet index .
An explicit wind specification needs to be consistent. A wind specification is consistent if for each that is included no for is included.
InverseWaveletTransform[dwd, wave, r] can be used to inverse transform the r lowest levels of the wavelet tree.
The default level r is given by the number of refinement levels n in dwd. With a new DiscreteWaveletData object is returned with refinement levels.