Reproduce “Differentiable Attenuation Filters for Feedback Delay Networks” on OpenResearch

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About this paper

Ilias Ibnyahya, Joshua D. Reiss

A differentiable parametric equalizer (PEQ) is introduced for attenuation filters within Feedback Delay Networks (FDNs), offering precise control over frequency-dependent reverberation decay. This design achieves state-of-the-art T60 matching accuracy while significantly reducing computational overhead by approximately 62% compared to previous methods, enabling efficient gradient-based optimization.

Key insights

  • Accurate and differentiable conversion of analog prototype filters to digital Second Order Sections (SOS) is crucial for maintaining spectral fidelity across the audio range.
  • Sharing frequency and Q-factor parameters across delay lines significantly reduces computational complexity and the number of trainable parameters without sacrificing the ability to precisely shape the frequency-dependent decay.
  • Formulating the attenuation filter design as a supervised regression task against a target T60-derived magnitude response allows for efficient, gradient-based optimization of the parametric equalizer's characteristics.

Summary by alphaXiv.

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