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Everything about S transform

Time-frequency transform in geophysics

S transform as a time–frequency distribution was developed in 1994 for analyzing geophysics data. In this way, the S transform is a generalization of the short-time Fourier transform (STFT), extending the continuous wavelet transform and overcoming some of its disadvantages. For one, modulation sinusoids are fixed with respect to the time axis; this localizes the scalable Gaussian window dilations and translations in S transform. Moreover, the S transform doesn't have a cross-term problem and yields a better signal clarity than Gabor transform. However, the S transform has its own disadvantages: the clarity is worse than Wigner distribution function and Cohen's class distribution function. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: S transformA 5-minute orientation
  2. Skim a recent paper: Application of Fourier Transform Infrared (FTIR) Spectroscopy in Characterization of Green Synthesized NanoparticlesInfluential work since 2022
  3. Pick up a classic book: Esquisse de cours 12e annéeThe most-reprinted book on the subject
  4. Read the landmark paper: Fast and accurate short read alignment with Burrows–Wheeler transformCited 49,626 times
  5. Go sideways: Short-time Fourier transformA closely related topic
  6. Go sideways: Wigner distribution functionA closely related topic

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