Morlet wavelet

Real-valued Morlet wavelet
Complex-valued Morlet wavelet

In mathematics, the Morlet wavelet (or Gabor wavelet)[1] is a wavelet composed of a complex exponential (carrier) multiplied by a Gaussian window (envelope). This wavelet is closely related to human perception, both hearing[2] and vision.[3]

  1. ^ A Real-Time Gabor Primal Sketch for Visual Attention "The Gabor kernel satisfies the admissibility condition for wavelets, thus being suited for multi-resolution analysis. Apart from a scale factor, it is also known as the Morlet Wavelet."
  2. ^ Cite error: The named reference Mallat was invoked but never defined (see the help page).
  3. ^ J. G. Daugman. Uncertainty relation for resolution in space, spatial frequency, and orientation optimized by two-dimensional visual cortical filters. Journal of the Optical Society of America A, 2(7):1160–1169, July 1985.