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

Calculated the Transfer Function for the multiple feedback high-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)= -1s2
s2+2941.17647059s+4368949.00563


R1 = 3.3kΩ
R2 = 15kΩ
C1 = 0.068uF
C2 = 0.068uF
C3 = 0.068uF



Cut-off frequency
    fc = 332.666155674[Hz]

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

Quality factor
    Q = 0.710669054519


Damping ratio
    ζ = 0.703562363974


Pole(s)
    p = -234.0513869 +236.40372125i[Hz]
          |p|= 332.666155674[Hz]
    p = -234.0513869-236.40372125i[Hz]
          |p|= 332.666155674[Hz]

Zero(s)
    z = 0[Hz]
          |z|= 0[Hz]
    z = -0[Hz]
          |z|= 0[Hz]


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


Oscillation frequency
    f = 236.40372125[Hz]


Overshoot (in absolute value)
    The 1st peak  gpk = 0.21 (t =0.0011[sec])
    The 2nd peak  gpk = -0.0093 (t =0.0032[sec])
    The 3rd peak  gpk = 0.00042 (t =0.0053[sec])


Final value of the step response (on the condition that the system converged when t goes to infinity)
    g(∞) = 0

fc=Hz
Gain K= at f=0Hz (K<0)
Q factor | Damping ratio ζ Quality factor Q =
Damping ratio ζ =
C1 =F C2 =F C3 =F
C1, C2, C3 is optional. But when setting these capacitances, C1, C2 and C3 of all are needed to give, and K setting is ignored.

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




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