Next  |  JOS Index  |  JOS Pubs  |  JOS Home  |  Search

The Second-Order Digital Waveguide Oscillator

Julius O. Smith III

Perry R. Cook

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

Abstract:

A digital sinusoidal oscillator derived from digital waveguide theory is described which has good properties for VLSI implementation. Its main features are no wavetable and a computational complexity of only one multiply per sample when amplitude and frequency are constant. Three additions are required per sample. A piecewise exponential amplitude envelope is available for the cost of a second multiplication per sample, which need not be as expensive as the tuning multiply. In the presence of frequency modulation (FM), the amplitude coefficient can be varied to exactly cancel amplitude modulation (AM) caused by changing the frequency of oscillation.

Detailed Contents (and Navigation)


Next  |  JOS Index  |  JOS Pubs  |  JOS Home  |  Search

Download wgo.pdf
Visit the online book containing this material.

``The Second-Order Digital Waveguide Oscillator'', by Julius O. Smith III and Perry R. Cook, Proceedings of the International Computer Music Conference (ICMC-92, San Jose), pp. 150-153, Computer Music Association, October 1992.
Copyright © 2008-08-31 by Julius O. Smith III and Perry R. Cook
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
CCRMA  [About the Automatic Links]