Digital State-Variable Filters

JULIUS O. SMITH III
Center for Computer Research in Music and Acoustics (CCRMA)

This tutorial covers realization of a continuous-time second-order lowpass filter as a state-space model which is then digitized via both forward and backward Euler schemes to produce the so-called Chamberlin form of a digital state-variable filter having desirable numerical properties. Finally, the FAUST form of the filter is derived.