On the Equivalence of Integrator- and Differentiator-Based Continuous- and Discrete-Time Systems

The article performs a generic comparison of integrator- and differentiator based continuous-time systems as well as their discrete-time models, aiming to answer the reoccurring question in the music DSP community of whether there are any benefits in using differentiators instead of conventionally employed integrators. It is found that both kinds of models are practically equivalent, but there are certain reservations about differentiator based models.