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Everything about Gabor transform

Special case of the short-time Fourier transform

The Gabor transform, named after Dennis Gabor, is a special case of the short-time Fourier transform. It is used to determine the sinusoidal frequency and phase content of local sections of a signal as it changes over time. The function to be transformed is first multiplied by a Gaussian function, which can be regarded as a window function, and the resulting function is then transformed with a Fourier transform to derive the time-frequency analysis. The window function means that the signal near the time being analyzed will have higher weight. The Gabor transform of a signal x(t) is defined by this formula: Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Gabor transformA 5-minute orientation
  2. Skim a recent paper: Multi-Scale Learnable Gabor Transform for Pedestrian Trajectory Prediction From Different PerspectivesInfluential work since 2022
  3. Pick up a classic book: Gabor analysis and algorithmsThe most-reprinted book on the subject
  4. Read the landmark paper: Complete discrete 2-D Gabor transforms by neural networks for image analysis and compressionCited 1,323 times
  5. Go sideways: Short-time Fourier transformA closely related topic
  6. Go sideways: Reassignment methodA closely related topic

📖 Definitions

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🗂️ The subject at a glance

  1. Inverse Gabor transform
  2. Properties of the Gabor transform
  3. Application and example
  4. Discrete Gabor-transformation
  5. Scaled Gabor transform
  6. Time-causal analogue of the Gabor transform

🏆 Landmark papers (most cited)

🆕 Influential since 2022

📚 Books worth reading

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