Differentiable All-pole Filters for Time-varying Audio Systems

arXiv:2404.07970v1 Announce Type: cross
Abstract: Infinite impulse response filters are an essential building block of many time-varying audio systems, such as audio effects and synthesisers. However, their recursive structure impedes end-to-end training of these systems using automatic differentiation. Although non-recursive filter approximations like frequency sampling and frame-based processing have been proposed and widely used in previous works, they cannot accurately reflect the gradient of the original system. We alleviate this difficulty by re-expressing a time-varying all-pole filter to backpropagate the …

arxiv audio cs.lg cs.sd differentiable eess.as filters systems type