Simulation Diagrams

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Simulation Diagrams

In high-level circuit simulation tools, block diagrams are often contructed such that each block contains a transfer-function description of the system in that block. As an example, a one-pole filter with transfer function may appear in the diagram as ``'' in the box, viz.,

$\displaystyle \rightarrow\fbox{$\frac{g}{s+a}$}\rightarrow$

For the series mass-spring-dashpot system, where the input is defined as the force applied to the mass, and the output is defined as the resulting mass velocity, the transfer function is

$\displaystyle H(s) = \Gamma(s) = \frac{b_1 s}{s^2 + a_1 s + a_0}$

where

, $a_1 = \mu/m$ , and

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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.

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Physical Audio Signal Processing
    Introduction to Lumped Models
       One-Port Network Theory
          Simulation Diagrams