OKAWA Electric Design
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(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
    Phase  Group delay
Nyquist diagram
Pole, zero
Phase margin
Oscillation analysis
Analysis on frequency range:
  f1=∼f2=[Hz] (optional)

Transient analysis

Step response
Impulse response
Overshoot
Final value of the step response
Analysis on time range:
  0∼[sec] (optional)


Frequency analysis





Transient analysis