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 OptionsDetails 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.
New in 8
New to Mathematica? Find your learning path »
Have a question? Ask support »