wfs_chapter_hda

• Repository https://github.com/spatialaudio/wfs_chapter_hda
• Authors' versions for the chapters (English, German) on Wave Field Synthesis in
  • Stefan Weinzierl (editor): Handbuch der Audiotechnik, 2nd GER edition, Springer, 2025
  • Stefan Weinzierl (editor): Handbook of Audio Technology, 1st ENG edition, Springer, TBA
  • https://link.springer.com/book/10.1007/978-3-662-60369-7

2.5D WFS signal flow for rendering a virtual source.

2.5D WFS pre-filtering.

2.5D WFS of a virtual point source: acoustic impulse response (left, top), acoustic transfer function (left, bottom) at probe point (x=0, y=0); and wave front snapshot (right) due to excitation with a low-pass filtered impulse.

2.5D WFS of a virtual point source. Single-frequency soundfield: level (left), snap shot of instantaneous sound pressure (right). Colors as indicated below.

• Rendered PDF files available at
  • GER
  • ENG TBD
• Licenses
  • text and graphics under CC BY 4.0 license
  • source code under MIT license
  • publisher Springer has copyright to their finally edited and authors' approved English / German chapters and their layouts
  • we use the violine image from https://upload.wikimedia.org/wikipedia/commons/thumb/f/f1/Violin.svg/2048px-Violin.svg.png to create the files python/violin_wfs_ENG.png and python/violin_wfs_DEU.png
  • we use the photo fotos/WFS_Array_UniRostockH8_2014.jpg CC BY 4.0 Matthias Geier & Sascha Spors
  • all other graphics (as pdf, png, eps, svn, ipe) in this repository are CC BY 4.0 Frank Schultz & Nara Hahn
• Reference implementation
  • the reference implementation uses and is double checked against the sfs (>= 0.6.3) toolbox
  • Python environment install is straightforward with uv sync using the provided pyproject.toml
• Recommended additional resources
  • The complete basics of wave field synthesis in a nutshell
  • Jupyter notebook on 2.5D WFS referencing scheme examples
• Authors
  • Frank Schultz, https://orcid.org/0000-0002-3010-0294, https://github.com/fs446
  • Nara Hahn, https://orcid.org/0000-0003-3564-5864, https://github.com/narahahn
  • Sascha Spors, https://orcid.org/0000-0001-7225-9992, https://github.com/spors