English  |  Japanese
Scientific Calculator  
Home > Tools > Filters > Multiple Feedback Band-pass Filter Design Tool > Result
(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)
(Sample)Transfer Function
G(s)= -8912.65597148s
s2+9238.72875092s+41335488.7073


R1 = 5.1kΩ
R2 = 20kΩ
R3 = 8.2kΩ
C1 = 0.022uF
C2 = 0.033uF


Center frequency
    f0 = 1023.2498036[Hz]

Gain at center frequency f0
    Gpk = -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]
Zero(s)
    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  gpk = -0.63 (t =0.00017[sec])
    The 2nd peak  gpk = 0.024 (t =0.00088[sec])
    The 3rd peak  gpk = -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
f0=Hz
Gain K= at f0. (K<0)
Q factor | Damping ratio ζ Quality factor Q =
Damping ratio ζ =
C1 = F C2 = F
C1, C2 is optional. But when setting these capacitances, C1 and C2 of both are needed to give following the equation
  (C2/C1) > 4ζ 2|K| - 1

Select Capacitor Sequence:
Select Resistor Sequence:

Frequency analysis Bode diagram
Nyquist diagram(f=0→∞)
Pole, zero
Phase margin
Oscillation analysis
Transient analysis Step responseImpulse response
Overshoot
Final value of the step response
Frequency analysis




Transient analysis


Top
Disclaimer ©2008 OKAWA Electric Design