WDM_GW_wavelets documentation

Author: Christopher J. Moore

A fast, JAX-based Python implementation of the Wilson-Daubechies-Meyer (WDM) wavelet transform for the time-frequency analysis of gravitational wave data.

The project lives on GitHub.

Mathematical Background:

• Mathematical Background
  • Introduction
  • Fourier Transform Conventions
  • Meyer Window
  • WDM Wavelets
  • The Discrete Wavelet Transform
  • Units
  • Glossary
  • References
  • Appendices
    • Normalised Incomplete Beta Function

Package Contents:

• WDM Package
  • WDM package
    • Subpackages
      • WDM.code package
        • WDM.code.discrete_wavelet_transform package
          • Submodules
          • WDM.code.discrete_wavelet_transform.WDM module
            • WDM_transform
        • WDM.code.utils package
          • Submodules
          • WDM.code.utils.Meyer module
            • Meyer()
            • nu_d()
          • WDM.code.utils.utils module
            • C_nm()
            • next_multiple()
            • overlapping_windows()
            • pad_signal()
        • WDM.code.plotting package
          • Submodules
          • WDM.code.plotting.plotting module
            • frequency_domain_plot()
            • time_domain_plot()
            • time_frequency_plot()
• Example Notebooks
  • Getting Started
  • Visualising the WDM wavelets
  • Filtering, whitening and glitch removal
  • Benchmarking
  • Exploring the accuracy of the truncated wavelet transform
  • m=0 Wavelet Coefficients

Code Repository:

• GitHub