Next  |  Prev  |  Up  |  Top  |  Index  |  JOS Index  |  JOS Pubs  |  JOS Home  |  Search


Transfer Function

The transfer function in this example can similarly be found using voltage divider rule:

$\displaystyle H(s) = \frac{V_C(s)}{V_e(s)}
= \frac{\left(Ls\left\Vert\frac{1}{Cs}\right.\right)}{R+\left(Ls\left\Vert\frac{1}{Cs}\right.\right)}
= \frac{1}{RC}\cdot\frac{s}{s^2 + \frac{1}{RC} s + \frac{1}{LC}}
\isdef 2\eta\cdot\frac{s}{s^2 + 2\eta s + \omega_0^2}
$


Next  |  Prev  |  Up  |  Top  |  Index  |  JOS Index  |  JOS Pubs  |  JOS Home  |  Search

[How to cite this work]  [Order a printed hardcopy]  [Comment on this page via email]

``Introduction to Digital Filters with Audio Applications'', by Julius O. Smith III, (September 2007 Edition).
Copyright © 2014-03-23 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
CCRMA