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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. 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. Jean Morlet - Wikipedia

   en.wikipedia.org/wiki/Jean_Morlet

   Jean Morlet (French: [ʒɑ̃ mɔʁlɛ]; 13 January 1931 – 27 April 2007) was a French geophysicist who pioneered work in the field of wavelet analysis around the year 1975. He invented the term wavelet to describe the functions he was using. In 1981, Morlet worked with Alex Grossmann to develop what is now known as the Wavelet transform.

7. Talk:Morlet wavelet - Wikipedia

   en.wikipedia.org/wiki/Talk:Morlet_wavelet

   The formula and discussion of "central frequency" is wrong. From the formula for the Fourier Transform of the Morlet wavelet, it is clear that the peak is near omega=-sigma, NOT omega=+sigma as stated in the final line. The following formula for omega_Psi is also wrong; just differentiate the Fourier Transformed wavelet to see that.