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Modified Morlet wavelet information


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 to the way that the Morlet and the Mexican hat are derived. The modified Morlet is defined as:


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Modified Morlet wavelet

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Modified Mexican hat, Modified Morlet and Dark soliton or Darklet wavelets are derived from hyperbolic (sech) (bright soliton) and hyperbolic tangent (tanh)...

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Morlet wavelet

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Morlet wavelet (or Gabor wavelet) is a wavelet composed of a complex exponential (carrier) multiplied by a Gaussian window (envelope). This wavelet is...

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Continuous wavelet

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continuous wavelets have been invented for various applications: Poisson wavelet Morlet wavelet Modified Morlet wavelet Mexican hat wavelet Complex Mexican...

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Wavelet

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wavelet Spline wavelet Strömberg wavelet Complex Mexican hat wavelet fbsp wavelet Morlet wavelet Shannon wavelet Modified Morlet wavelet Chirplet transform...

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Wavelet transform

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Least-squares spectral analysis Morlet wavelet Multiresolution analysis MrSID, the image format developed from original wavelet compression research at Los...

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Stationary wavelet transform

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stationary wavelet transform (SWT) is a wavelet transform algorithm designed to overcome the lack of translation-invariance of the discrete wavelet transform...

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S transform

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generalization of the short-time Fourier transform (STFT), extending the continuous wavelet transform and overcoming some of its disadvantages. For one, modulation...

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Log Gabor filter

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modeled by the Gabor filter. The Gabor filter was modified by Morlet to form an orthonormal continuous wavelet transform. Although the Gabor filter achieves...

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