Sign in

username:

password:



Not a member?

Search Online Books



Search tips

Free Online Books



Chapters

See Also

Embedded SystemsFPGAElectronics
Chapter Contents:

Search Physical Audio Signal Processing

  

Book Index | Global Index


Would you like to be notified by email when Julius Orion Smith III publishes a new entry into his blog?

  

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 $ H(s) = g/(s+a)$ may appear in the diagram as ``$ g/(s+a)$'' 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 $ b_1 = 1/m$, $ a_1 = \mu/m$, and $ a_0 = k/m$.


Order a Hardcopy of Physical Audio Signal Processing

Previous: Passive One-Ports
Next: Finite Difference Approximation

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.


Comments


No comments yet for this page


Add a Comment
You need to login before you can post a comment (best way to prevent spam). ( Not a member? )