The study of audio circuits is interdisciplinary. It combines DSP, analog circuits, differential equations, and semiconductor theory. Mathematical tools like Fourier Transforms and standard circuit analysis cannot explain the behavior of stateful nonlinearities. A complete description of a circuit can only be obtained through time-domain (or ‘transient’, in SPICE terms) simulation. ModelingToolkit.jl enables rapid design iteration and combines features that traditionally require multiple tools.
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