Bowed Strings

A schematic block diagram for bowed strings is shown in Fig.7.1 [440]. The bow divides the string into two sections, so the bow model is a nonlinear two-port, in contrast with the reed which was a nonlinear one-port terminating the bore at the mouthpiece. In the case of bowed strings, the primary control variable is bow velocity, so velocity waves are the natural choice for the delay lines.

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Subsections

• Digital Waveguide Bowed-String
• The Bow-String Scattering Junction
• Further Extensions
• Linear Commuted Bowed Strings
  • Bowing as Periodic Plucking
  
  
• Exercises

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written by 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.