pyFDN: A Python Toolbox for Feedback Delay Network Design, Analysis, and Optimization

Overview & Synopsis

Feedback delay networks (FDNs) provide a compact representation of recursive audio systems for artificial reverberation and decorrelation. Their practical use spans structured matrix design, acoustic decay shaping, numerical simulation, and modal analysis, increasingly combined with differentiable optimization. We present pyFDN, an open-source Python toolbox that brings these operations into a common workflow. The library combines numerical design and analysis routines with block-based time-domain processing and integration with FLAMO for frequency-domain differentiable processing. Explicit network builds and JSON presets connect design, optimization, rendering, and reuse. This paper describes the software architecture, representative capabilities, and reproducibility mechanisms of version 0.5.0, providing a reference for research and teaching that use the toolbox.