(Sample)Multiple Feedback Band-pass Filter Design Tool - Result -
Calculated the Transfer Function for the multiple feedback band-pass filter, displayed on graphs, showing Bode diagram, Nyquist diagram, Impulse response and Step response.
Multiple Feedback Band-pass Filter
Vin(s)→ | →Vout(s) |
G(s)= |
-8912.65597148s s^{2}+9238.72875092s+41335488.7073 |
R1 = 5.1kΩ
R2 = 20kΩ
R3 = 8.2kΩ
C1 = 0.022uF
C2 = 0.033uF
Center frequency
f_{0} = 1023.2498036[Hz]
Gain at center frequency f_{0}
G_{pk} = -0.964705882353[times] (-0.312101466612)[dB]
Quality factor
Q = 0.695903982559
Damping ratio
ζ = 0.718489924661
Pole(s)
p = -735.194674297 +711.70847364i[Hz]
|p|= 1023.2498036[Hz]
p = -735.194674297-711.70847364i[Hz]
|p|= 1023.2498036[Hz]
|p|= 1023.2498036[Hz]
p = -735.194674297-711.70847364i[Hz]
|p|= 1023.2498036[Hz]
Zero(s)
z = 0[Hz]
|z|= 0[Hz]
|z|= 0[Hz]
Phase margin
pm= NAN[deg] (f =0[Hz])
Oscillation frequency
f = 711.70847364[Hz]
Overshoot (in absolute value)
The 1st peak g_{pk} = -0.63 (t =0.00017[sec])
The 2nd peak g_{pk} = 0.024 (t =0.00088[sec])
The 3rd peak g_{pk} = -0.00095 (t =0.0016[sec])
The 2nd peak g_{pk} = 0.024 (t =0.00088[sec])
The 3rd peak g_{pk} = -0.00095 (t =0.0016[sec])
Final value of the step response (on the condition that the system converged when t goes to infinity)
g(∞) = 0