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(Sample)Multiple Feedback Low-pass Filter Design Tool - Result -

Calculated the Transfer Function for the multiple feedback low-pass filter, displayed on graphs, showing Bode diagram, Nyquist diagram, Impulse response and Step response.

Multiple Feedback Filter
Vin(s)→ →Vout(s)
(Sample)Transfer Function
G(s)= -39313739.3656

R1 = 8.2kΩ
R2 = 30kΩ
R3 = 8.2kΩ
C1 = 0.022uF
C2 = 0.0047uF

Cut-off frequency
    fc = 997.912146175[Hz]

Gain at f=0Hz
    Gpk = -1[times] (0)[dB]

Quality factor
    Q = 0.497560150302

Damping ratio
    ζ = 1.00490362762

    p = -903.859636226[Hz]
          |p|= 903.859636226[Hz]
    p = -1101.75143526[Hz]
          |p|= 1101.75143526[Hz]

Phase margin
    pm= NAN[deg] (f =0[Hz])

The system does not oscillate.

Overshoot (in absolute value)
The peak of transient waveform is not detected.

Final value of the step response (on the condition that the system converged when t goes to infinity)
    g(∞) = -1

Gain K= at f=0Hz. (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)≤ζ 2/(1-K)

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
Final value of the step response

Frequency analysis

Transient analysis


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