Sunday, December 25, 2011

high pass, low pass filter

2nd order high pass


 1st order high pass
1st order low pass
2nd order low pass



Vout/Vin = [1/(RC)^2]/[S^2 + 2/(RC)*s + 1/(RC)^2]

H(s) = \frac{ \omega_0^2 }{ s^2 + \underbrace{ \frac{ \omega_0 }{Q} }_{2 \zeta \omega_0 = 2 \alpha }s + \omega_0^2 } \,

W0 = 1/(RC); Q = 1/2;
Critical damped system: the steepest decay slope without overshoot.
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