Talk:BME 153/Spring 2009/Test 2

From PrattWiki

Jump to: navigation, search


\begin{align}
\mathbb{H}&=\frac{K2\zeta\omega_n(j\omega)}{(j\omega)^2+2\zeta\omega_n(j\omega)+\omega^2_n}\\
\mathbb{H}&=\frac{K}{1+jQ\left(\frac{\omega}{\omega_n}-\frac{\omega_n}{\omega}\right)}
\end{align}

the logarithmic center frequency is the same as the resonant frequency, ωn, and the linear center frequency can be calculated as


\begin{align}
\omega_{lin ~ctr}&=\omega_n\frac{\sqrt{1+4Q^2}}{2Q}
\end{align}

Note that as the quality increases, the bandwidth decreases and the linear and logarithmic centers get closer and closer. DukeEgr93 18:07, 22 March 2009 (EDT)

In the interest of sleep, probably no more answers will be posted here before the test  :) DukeEgr93 01:43, 23 March 2009 (EDT)

Personal tools
Namespaces
Variants
Actions
Navigation
Toolbox