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Digital State-Variable Filters

JULIUS O. SMITH III

Center for Computer Research in Music and Acoustics (CCRMA)
Department of Music, Stanford University, Stanford, California 94305 USA

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 resonator (which has desirable numerical properties). Finally, the Faust form of the resonator is derived.




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``Digital State-Variable Filters'', by Julius O. Smith III.
Copyright © 2013-05-18 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
CCRMA