page_title: Meyer wavelet
hierarchical_section_title: Meyer wavelet
caption_attribution_description: English: Meyer scale function (numerically computed)
context_page_description: The Meyer wavelet is an orthogonal wavelet proposed by Yves Meyer. As a type of a continuous wavelet, it has been applied in a number of cases, such as in adaptive filters, fractal random fields, and multi-fault classification.
  The Meyer wavelet is infinitely differentiable with infinite support and defined in frequency domain in terms of function as
  where
  There are many different ways for defining this auxiliary function, which yields variants of the Meyer wavelet.
  For instance, another standard implementation adopts
  The Meyer scale function is given by
  In the time domain, the waveform of the Meyer mother-wavelet has the shape as shown in the following figure:
context_section_description: The Meyer wavelet is an orthogonal wavelet proposed by Yves Meyer. As a type of a continuous wavelet, it has been applied in a number of cases, such as in adaptive filters, fractal random fields, and multi-fault classification.
  The Meyer wavelet is infinitely differentiable with infinite support and defined in frequency domain in terms of function  as
  where
  There are many different ways for defining this auxiliary function, which yields variants of the Meyer wavelet.
  For instance, another standard implementation adopts
  The Meyer scale function is given by
  In the time domain, the waveform of the Meyer mother-wavelet has the shape as shown in the following figure:
caption: Meyer scale function
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