WaveletScale

WaveletScale
is an option for ContinuousWaveletTransform and related constructs used to specify the smallest resolvable scale.

DetailsDetails

  • WaveletScale represents the smallest resolvable scale in a ContinuousWaveletTransform.
  • The continuous wavelet transform of a uniformly sampled sequence is given by w(u,s)=1/(sqrt(s))sum_(k=1)^nx_k TemplateBox[{psi}, Conjugate]((Delta (k-u))/s).
  • The scaling parameter is given by equal-tempered scale where is the octave number, the voice number, and the smallest wavelet scale.
  • The default value for WaveletScale is Automatic. The value of can be any number greater than .

ExamplesExamplesopen allclose all

Basic Examples (1)Basic Examples (1)

WaveletScale indicates the smallest resolvable scale used for the transform:

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The scales used are given as with wavelet scale, octave, and voice:

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