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  2. Morlet wavelet - Wikipedia

    en.wikipedia.org/wiki/Morlet_wavelet

    The Morlet wavelet transform is used in pitch estimation and can produce more accurate results than Fourier transform techniques. [10] 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]

  3. 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

  4. Constant-Q transform - Wikipedia

    en.wikipedia.org/wiki/Constant-Q_transform

    It is related to the Fourier transform [1] and very closely related to the complex Morlet wavelet transform. [2] Its design is suited for musical representation. Constant-Q transform applied to the waveform of a C major piano chord. The x-axis is frequency, mapped to standard musical pitches, from low (left) to high (right). The y-axis is time ...

  5. 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 ...

  6. Continuous wavelet transform - Wikipedia

    en.wikipedia.org/wiki/Continuous_wavelet_transform

    Continuous wavelet transform of frequency breakdown signal. Used symlet with 5 vanishing moments.. In mathematics, the continuous wavelet transform (CWT) is a formal (i.e., non-numerical) tool that provides an overcomplete representation of a signal by letting the translation and scale parameter of the wavelets vary continuously.

  7. Wavelet - Wikipedia

    en.wikipedia.org/wiki/Wavelet

    The wavelets are scaled and translated copies (known as "daughter wavelets") of a finite-length or fast-decaying oscillating waveform (known as the "mother wavelet"). Wavelet transforms have advantages over traditional Fourier transforms for representing functions that have discontinuities and sharp peaks, and for accurately deconstructing and ...

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