Force-Pulse Filter Design

In the commuted piano synthesis technique, it is necessary to fit a filter impulse response to the desired hammer-string force-pulse shape for each key and for each key velocity , as indicated in Figures 9.32 and 9.33. Such a desired curve can be found in the musical acoustics literature [488] or it can be easily generated from a good piano-hammer model (§9.3.2) striking the chosen piano string model.

For psychoacoustic reasons, it is preferable to optimize the force-pulse filter-coefficients in the frequency domain §8.6.2. Some additional suggestions are given in [467,519].

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About the Author: Julius Orion Smith III
Julius Smith's background is in electrical engineering (BS Rice 1975, PhD Stanford 1983). He is presently Professor of Music and Associate Professor (by courtesy) of Electrical Engineering at Stanford's Center for Computer Research in Music and Acoustics (CCRMA), teaching courses and pursuing research related to signal processing applied to music and audio systems. See http://ccrma.stanford.edu/~jos/ for details.