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  2. Morlet wavelet - Wikipedia

    en.wikipedia.org/wiki/Morlet_wavelet

    The Morlet wavelet transform is capable of capturing short bursts of repeating and alternating music notes with a clear start and end time for each note. [citation needed] A modified morlet wavelet was proposed to extract melody from polyphonic music. [11] This methodology is designed for the detection of closed frequency.

  3. Wavelet - Wikipedia

    en.wikipedia.org/wiki/Wavelet

    Notable contributions to wavelet theory since then can be attributed to George Zweig’s discovery of the continuous wavelet transform (CWT) in 1975 (originally called the cochlear transform and discovered while studying the reaction of the ear to sound), [16] Pierre Goupillaud, Alex Grossmann and Jean Morlet's formulation of what is now known ...

  4. Gabor wavelet - Wikipedia

    en.wikipedia.org/wiki/Gabor_wavelet

    The equation of a 1-D Gabor wavelet is a Gaussian modulated by a complex exponential, described as follows: [3] = / ()As opposed to other functions commonly used as bases in Fourier Transforms such as and , Gabor wavelets have the property that they are localized, meaning that as the distance from the center increases, the value of the function becomes exponentially suppressed.

  5. Continuous wavelet - Wikipedia

    en.wikipedia.org/wiki/Continuous_wavelet

    Most of the continuous wavelets are used for both wavelet decomposition and composition transforms. That is they are the continuous counterpart of orthogonal wavelets. [1] [2] The following continuous wavelets have been invented for various applications: [3] Poisson wavelet; Morlet wavelet; Modified Morlet wavelet; Mexican hat wavelet

  6. Gabor transform - Wikipedia

    en.wikipedia.org/wiki/Gabor_transform

    The Gabor transform of a signal x(t) is defined by this formula: ... Jian-Jiun Ding, Time frequency analysis and wavelet transform class note, the Department of ...

  7. Modified Morlet wavelet - Wikipedia

    en.wikipedia.org/wiki/Modified_Morlet_wavelet

    Modified Mexican hat, Modified Morlet and Dark soliton or Darklet wavelets are derived from hyperbolic (sech) (bright soliton) and hyperbolic tangent (tanh) (dark soliton) pulses. These functions are derived intuitively from the solutions of the nonlinear Schrödinger equation in the anomalous and normal dispersion regimes in a similar fashion ...

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    The search engine that helps you find exactly what you're looking for. Find the most relevant information, video, images, and answers from all across the Web.

  9. Ricker wavelet - Wikipedia

    en.wikipedia.org/wiki/Ricker_wavelet

    Mexican hat. In mathematics and numerical analysis, the Ricker wavelet, [1] Mexican hat wavelet, or Marr wavelet (for David Marr) [2] [3] = / (())is the negative normalized second derivative of a Gaussian function, i.e., up to scale and normalization, the second Hermite function.