hkBattousai
Member
[latex]
H_{C_1}(s) = \frac
{1}
{C_1s}
[/latex]
[latex]
H_{R_1}(s) = \frac
{\tau_1s + 1}
{C_1s}
[/latex]
[latex]
H_{C_2}(s) = \frac
{\tau_1s + 1}
{C_2\tau_1s^2 + (C_2 + C_1)s}
[/latex]
[latex]
H_{R_2}(s) = \frac
{\tau_1\tau_2s^2 + (\tau_1 + \tau_2 + C_1R_2)s + 1}
{\tau_1C_2s^2 + (C_1 + C_2)s}
[/latex]
[latex]
H_{C_3}(s) = \frac
{\tau_1\tau_2s^2 + (\tau_1 + \tau_2 + C_1R_2)s + 1}
{\tau_1\tau_2C_3s^3 + ((\tau_1 + \tau_2)C_3 + \tau_1C_2 + C_1R_2C_3)s^2 + (C_1 + C_2 + C_3)s}
[/latex]
[latex]
H_{R_3}(s) = \frac
{\tau_1\tau_2\tau_3s^3 + ((\tau_1 + \tau_2)\tau_3 + \tau_1C_2R_3 + \tau_3C_1R_2 + \tau_1\tau_2)s^2 + (\tau_1 + \tau_2 + \tau_3 + R_3C_2 + R_2C_1 + R_3C_1)s + 1}
{\tau_1\tau_2C_3s^3 + ((\tau_1 + \tau_2)C_3 + \tau_1C_2 + C_1R_2C_3)s^2 + (C_1 + C_2 + C_3)s}
[/latex]
[latex]
H_{C_4}(s) = \frac
{\tau_1\tau_2\tau_3s^3 + ((\tau_1 + \tau_2)\tau_3 + \tau_1C_2R_3 + \tau_3C_1R_2 + \tau_1\tau_2)s^2 + (\tau_1 + \tau_2 + \tau_3 + R_3C_2 + R_2C_1 + R_3C_1)s + 1}
{\tau_1\tau_2\tau_3C_4s^4 + ((\tau_1 + \tau_2)\tau_3C_4 + \tau_1\tau_2(C_3 + C_4) + \tau_1C_2R_3C_4 + \tau_3C_1R_2C_4)s^3 + ((\tau_1 + \tau_2)(C_3 + C4) + \tau_1C_2 + \tau_3C_4 + C_1R_2C_3 + R_3C_2C_4 + R_2C_1C_4 + R_3C_1C_4)s^2 + (C_1 + C_2 + C_3 + C_4)s}
[/latex]
[latex]
H_{R_4}(s) = \frac
{?}
{\tau_1\tau_2\tau_3C_4s^4 + ((\tau_1 + \tau_2)\tau_3C_4 + \tau_1\tau_2(C_3 + C_4) + \tau_1C_2R_3C_4 + \tau_3C_1R_2C_4)s^3 + ((\tau_1 + \tau_2)(C_3 + C4) + \tau_1C_2 + \tau_3C_4 + C_1R_2C_3 + R_3C_2C_4 + R_2C_1C_4 + R_3C_1C_4)s^2 + (C_1 + C_2 + C_3 + C_4)s}
[/latex]
H_{C_1}(s) = \frac
{1}
{C_1s}
[/latex]
[latex]
H_{R_1}(s) = \frac
{\tau_1s + 1}
{C_1s}
[/latex]
[latex]
H_{C_2}(s) = \frac
{\tau_1s + 1}
{C_2\tau_1s^2 + (C_2 + C_1)s}
[/latex]
[latex]
H_{R_2}(s) = \frac
{\tau_1\tau_2s^2 + (\tau_1 + \tau_2 + C_1R_2)s + 1}
{\tau_1C_2s^2 + (C_1 + C_2)s}
[/latex]
[latex]
H_{C_3}(s) = \frac
{\tau_1\tau_2s^2 + (\tau_1 + \tau_2 + C_1R_2)s + 1}
{\tau_1\tau_2C_3s^3 + ((\tau_1 + \tau_2)C_3 + \tau_1C_2 + C_1R_2C_3)s^2 + (C_1 + C_2 + C_3)s}
[/latex]
[latex]
H_{R_3}(s) = \frac
{\tau_1\tau_2\tau_3s^3 + ((\tau_1 + \tau_2)\tau_3 + \tau_1C_2R_3 + \tau_3C_1R_2 + \tau_1\tau_2)s^2 + (\tau_1 + \tau_2 + \tau_3 + R_3C_2 + R_2C_1 + R_3C_1)s + 1}
{\tau_1\tau_2C_3s^3 + ((\tau_1 + \tau_2)C_3 + \tau_1C_2 + C_1R_2C_3)s^2 + (C_1 + C_2 + C_3)s}
[/latex]
[latex]
H_{C_4}(s) = \frac
{\tau_1\tau_2\tau_3s^3 + ((\tau_1 + \tau_2)\tau_3 + \tau_1C_2R_3 + \tau_3C_1R_2 + \tau_1\tau_2)s^2 + (\tau_1 + \tau_2 + \tau_3 + R_3C_2 + R_2C_1 + R_3C_1)s + 1}
{\tau_1\tau_2\tau_3C_4s^4 + ((\tau_1 + \tau_2)\tau_3C_4 + \tau_1\tau_2(C_3 + C_4) + \tau_1C_2R_3C_4 + \tau_3C_1R_2C_4)s^3 + ((\tau_1 + \tau_2)(C_3 + C4) + \tau_1C_2 + \tau_3C_4 + C_1R_2C_3 + R_3C_2C_4 + R_2C_1C_4 + R_3C_1C_4)s^2 + (C_1 + C_2 + C_3 + C_4)s}
[/latex]
[latex]
H_{R_4}(s) = \frac
{?}
{\tau_1\tau_2\tau_3C_4s^4 + ((\tau_1 + \tau_2)\tau_3C_4 + \tau_1\tau_2(C_3 + C_4) + \tau_1C_2R_3C_4 + \tau_3C_1R_2C_4)s^3 + ((\tau_1 + \tau_2)(C_3 + C4) + \tau_1C_2 + \tau_3C_4 + C_1R_2C_3 + R_3C_2C_4 + R_2C_1C_4 + R_3C_1C_4)s^2 + (C_1 + C_2 + C_3 + C_4)s}
[/latex]