Modified Morlet wavelet
In today's world, Modified Morlet wavelet has gained great importance and interest, generating numerous discussions and research in different areas. Since its emergence, Modified Morlet wavelet has significantly impacted society, the economy, culture and science, among other aspects. Over the years, Modified Morlet wavelet has evolved and adapted to the different needs and demands of the current context, playing a crucial role in the development and transformation of various sectors. This is why it is relevant to thoroughly analyze and understand the impact and scope of Modified Morlet wavelet today, as well as its future implications.
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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