Multiple Feedback Band-pass Filter Design Tool

This page is a web application that design a multiple feedback band-pass filter. Use this utility to simulate the Transfer Function for filters at a given frequency, damping ratio ζ, Q or values of R and C. The response of the filter is displayed on graphs, showing Bode diagram, Nyquist diagram, Impulse response and Step response.

Calculate the transfer function for multiple feedback band-pass filter with R and C values

Vin(s)→ →Vout(s)
Transfer function:
R1=Ω C1=F
R2=Ω C2=F
R3=Ω
p:pico, n:nano, u:micro, k:kilo, M:mega

Frequency analysis

Bode diagram
    Phase  Group delay
Nyquist diagram
Pole, zero
Phase margin
Oscillation analysis

Upper and lower frequency limits:
  f1= - f2=[Hz] (frequency limits are optional)

Transient analysis

Step response
Impulse response
Overshoot
Final value of the step response

Simulation time:
  0 - [sec] (optional)


Calculate the R and C values for the multiple feedback filter at a given frequency and Q factor

Vin(s)→ →Vout(s)

Center frequency:
    

Transfer function:
    
      K is gain at the center frequency.
Center frequency 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
    (C2/C1) > |K|/Q2 - 1

Select Capacitor Sequence:
Select Resistor Sequence:

Frequency analysis

Bode diagram
    Phase  Group delay
Nyquist diagram
Pole, zero
Phase margin
Oscillation analysis

Upper and lower frequency limits:
  f1= - f2=[Hz] (frequency limits are optional)

Transient analysis

Step response
Impulse response
Overshoot
Final value of the step response

Simulation time:
  0 - [sec] (optional)