8 citations · 16 across the 6 of their papers we have counts for
6 papers
Topology in Sound Synthesis and Digital Signal Processing -- DAFx2022 Lecture Notes
Georg Essl
Lecture notes of a tutorial on topology in sound synthesis and digital signal processing held at international conference for digital audio effects (DAFx-22) in Vienna, Austria.
Causal Linear Topological Filters over a 2-Simplex
Georg Essl
Topological filters via sheaves generalize the classical linear translation-invariant filter theory by attaching the filter computation locally to a simplicial topological space. T…
Topological IIR Filters over Simplicial Topologies via Sheaves
Georg Essl
Topology offers a means to formally generalize digital filtering methods based on digital linear translation-invariant (LTI) filters while also, in principle, incorporating transla…
Elementary Integration Methods for Velocity Excitations in Displacement Digital Waveguides
Georg Essl
Elementary integration methods for waveguides are compared. One using non-local loading rules based on Heaviside step functions, one using input side integration and one using inte…
Velocity excitations and impulse responses of strings - Aspects of continuous and discrete models
Georg Essl
This paper discusses aspects of the second order hyperbolic partial differential equation associated with the ideal lossless string under tension and it's relationship to two discr…
Trapping and Steering on Lattice Strings: Virtual Slow Waves, Directional and Non-propagating Excitations
Georg Essl
Using a lattice string model, a number of peculiar excitation situations related to non-propagating excitations and non-radiating sources are demonstrated. External fields can be u…