Basic DWN Formulation

This section reviews the DWN paradigm and briefly outlines considerations arising in acoustic simulation applications.

The formulation is based on dual -dimensional vectors of
``pressure'' and ``velocity''
and
, respectively. These
variables can be associated with acoustic
pressure and particle- or volume-velocity, or they can be anything
analogous such as electrical voltage and current, mechanical force
and velocity, etc. We call these dual variables *Kirchhoff variables*
to distinguish them from *wave variables* which are their
traveling-wave components. For concreteness, we will focus on
pressure and velocity waves in a lossless, linear, *acoustic tube*. In acoustic tubes, velocity waves are in units of
volume velocity (particle velocity times the tube cross-sectional area)
[60].

- The Ideal Acoustic Tube
- Multivariable Formulation of the Acoustic Tube
- Generalized Wave Impedance
- Generalized Complex Signal Power
- Medium Passivity
- Impulsive Signals Interpretation
- Bandlimited Signals Interpretation
- Interpolated Digital Waveguides
- Lossy, Dispersive Waveguides
- The General Linear Time-Invariant Case

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Center for Computer Research in Music and Acoustics (CCRMA), Stanford University

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